An isosceles triangle has legs that measure 10 feet. If the height of the triangle is 7 feet, find the length of its base
Answers
Answer:
14.2 feet
Step-by-step explanation:
I rounded off to 1 decimal place
The length of the base of triangle in the given case is 14.28 feet.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
The diagram for the given problem can be shown below,
Here, AB = AC = 10 feet and AD = 7 feet.
Apply pythagoras theorem in ΔABD to get,
AD² + BD² = AB²
Substitute the corresponding values to obtain,
BD² = 10² - 7²
⇒ BD = 7.14
Now, CB = 2 × BD
⇒ CB = 2 × 7.14 = 14.28
Hence, the length of the base is given as 14.28 feet.
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Related Questions
The value of a 7 in the
millions place, is how
many times greater
than the value of a 7
in the ten thousands
place?
-
RESERREIRA
What is the answer to the problem above?*
Type your answer in number form.
Answers
Please show work; i will give brainliest for quickest and corect answer
Solve the equation x^{2}+4x-16=0
Answers
Answer:
x=2
Step-by-step explanation:
x^2 + 4x - 16 = 0
I'm using the quadratic formula to solve this equation.
A = 1
B = 4
C = -16
x = -b +- [tex]\sqrt{b^2 - 4ac}[/tex]
over 2a
Plug it in:
x= -4 +- [tex]\sqrt{4^2 -4(-16)}[/tex] over 2
x= -4 +- [tex]\sqrt{16+64[/tex] over 2
x = -4 +-[tex]\sqrt{80}[/tex] over 2
x = -4 +- 4[tex]\sqrt{5[/tex]
Divide by 2.
x = -2 +- 2[tex]\sqrt{5[/tex]
Therefore, x would be -2 + 2[tex]\sqrt{5}[/tex], -2 - 2[tex]\sqrt{5}[/tex]
Convert to decimal form: 2.47213595, -6.47213595
Round it: 2.4714595 = 2.5 and -6.47213595 = -6.5
How do you do this anyone know how
Answers
For example, the first one is -1/3. It's slope is going down to the right, so it's negative . It goes down 1 (y value) and over to the right 3 (x value). Since it goes down and to the right it is a slope of -1/3.
Answer:
ok so........
Step-by-step explanation:
For example, the first one is -1/3. It's slope is going down to the right, so it's negative . It goes down 1 (y value) and over to the right 3 (x value). Since it goes down and to the right it is a slope of -1/3.
Girls in science class account for one-third of the total number of students in their 3rd period class. 3 girls are absent today. Find the total number of students in the class if four girls attended class today.
Answers
Answer:
See Explanation
Step-by-step explanation:
The question isn't clear enough. However, I'll solve for the total number of students in science class and I'll.also solve for the total number of students present in class.
Given
Proportion of girls = ⅓
Number of girls absent = 3
Number of girls present = 4
Required
Find the total number of students
If 3 girls were absent and 4 were present, then there are total of 7 girls in science class.
Let the number of students in the class be represented by y.
⅓ of the total number of students are girls;
This means
⅓ of y = 7
⅓ * y = 7
Multiply both sides by 3
3 * ⅓ * y = 3 * 7
y = 3 * 7
y = 21.
Hence, the total number of students in science class is 21
Recall that 3 girls are absent;
This means that 21 - 3 are presently in the class.
21 - 3 = 18.
Hence, 18 students are presently in class.
A senator wishes to estimate the proportion of United States voters who favor
abolishing the Electoral College. How large a sample is needed in order to be 90%
confident that the sample proportion will not differ from the true proportion by more
than 3%?
Answers
Answer:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]
And rounded up we have that n=748
Step-by-step explanation:
The confidence level is 90% and the significance level would be [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2 =0.05[/tex] and the critical value for this case is:
[tex] z_{\alpha/2}= 1.64[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we want a margin of error of [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
Since we don't hace any prior info for the population proportion we can use [tex]\hat p =0.5[/tex]. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]
And rounded up we have that n=748
Using the sample size formula, the required number of sample is 752.
Using the confidence interval relation :
[tex] n = \frac{pq}{(\frac{E}{Z_{crit}})^{2}} [/tex] p =sample proportion = 0.5 q = 1 - p = 1 - 0.5 = 0.5 Zcrit at 90% = 1.645 E = Error Margin = 3% = 0.03Substituting the values into the equation :
n = [tex] \frac{0.5 \times 0.5}{(\frac{0.03}{1.645})^{2} }[/tex]
[tex] n = \frac{0.25}{0.0003325}[/tex]
[tex] n = 751.67[/tex]
Therefore, the required number of sample is 752.
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A transformation named T maps XYZ to X'Y'Z'. The transformation shown is a reflection translation dilation
Answers
Answer:
Step-by-step explanation:
Where is the image
A store is offering a clearance sale on soda it costs 3.20 for a packk of 8 cans or a single can can be bought for 0.50
Answers
Maybe I’m actually not sure
The question revolves around determining whether it's more economical to purchase soda in a pack or individually at a clearance sale. The provided example further illustrates the price elasticity of demand using the sale of diet cola as an illustration.
Explanation:The question concerns the cost comparison between buying individual cans of soda versus buying them in a pack during a clearance sale. With a pack of 8 cans costing $3.20, the price per can in a pack is $0.40. On the other hand, a single can costs $0.50. Looking at these prices and comparing them to the provided reference information, buying soda by the pack falls into the '50-99 cents per pack' range, indicating that it's more cost-effective compared to buying soda cans individually for $0.50 each.
Additionally, the example involving diet cola and its price changes introduces the concept of price elasticity of demand, which measures how the quantity demanded of a good responds to a change in price. The given statistics demonstrate a direct relationship between the price of diet cola and the number of cans sold: a rise in price reduces sales, leading to less total revenue, indicating that the demand for diet cola is price elastic.
Please help me I don’t know how
Answers
Answer:
6 5/6
Step-by-step explanation:
8
- 1 1/6
We need to borrow from the 8
We will borrow 1 from the 8 and make it a 7. The 1 will be written in the form 6/6
7 6/6
- 1 1/6
-----------------
6 5/6
8) There are six boys and seven girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another
question. The
first student is a boy and the second
student is a girl.
I
Are the events independent or dependent?
What is the probability?
Answers
Answer:
i say dependent. i may be wrong
7/26
Step-by-step explanation:
6/13 times 7/12 which is 42/156 which is 14/52 which is also 7/26
Final answer:
The scenario presents dependent events with the probability of selecting a boy first and then a girl being 7/26.
Explanation:
The events described in the scenario are dependent because the outcome of the first trial (selecting a student) affects the outcome of the second trial (selecting another student). In this situation, for the first student selected to be a boy, the probability is 6/13 (as there are six boys and seven girls, totaling 13 students). Once the first boy is selected and not replaced, the probability that the second student chosen is a girl is 7/12, because only 12 students remain and 7 of them are girls.
Therefore, the probability of first drawing a boy and then a girl, in two successive trials without replacement, is the product of the two individual probabilities: (6/13) * (7/12). This equals 42/156= 0.269 or simplified to 7/26.
Anja simplified the expression
10x9 15
10 to 15. What mistake did Anja make?
Answers
Answer:
10 times 9 is 90 divide 90 bye 15 and there u go
Step-by-step explanation:
She subtracted the coefficients instead of dividing them
to help local charity, Sam decides to run an advertisment where he gives away 10% of the days sales to the charity. If the store sells $8,564 on that day, Then how much will Sam give away ?
Answers
Answer:
856.4
Step-by-step explanation:
10% of 8564 =856.4
Solve the system of equations 3x + y = 3 and 7x + 2y = 1.
1. Solve for the variable y in the first equation: y = 3 − 3x
2. Substitute the value for y into the second equation: 7x + 2(3 − 3x) = 1
3. Solve for x: x =
Answers
Answer:
(-5, 18)
Step-by-step explanation:
7x + 2(3 − 3x) = 1 simplifies to
7x + 6 - 6x = 1, which, in turn, simplifies to:
x = -5
Using y = 3 - 3x (see Step 1), we find that y = 3 - 3(-5) = 3 + 15 = 18.
Thus, the solution is (-5, 18).
Answer:
Step-by-step explanation:
here is the answer
Which number is the greatest? 0.35, 0.2, 0.56, 0.8, 0.09
Answers
Answer:
0.8
Step-by-step explanation:
What does statement that is not correct to use probability to describe an event.
A) the probability of seeing the Stars night is 0.70
B) the probability of going back to time is 0
C) The probability of having leftovers for dinner tonight is 35 percent
D) The probability of finding my keys is - 1/5
Answers
The incorrect statement is option D) The probability of finding my keys is - 1/5, as probabilities cannot be negative. Probabilities range between 0 and 1, and the calculation for combined probability of independent events involves multiplication, not addition.
The statement that is not correct to use probability to describe is option D) The probability of finding my keys is - 1/5. Probabilities range from 0 to 1 (or 0% to 100%), where 0 indicates impossibility and 1 indicates certainty. A negative probability does not make sense within this framework, so option D reflects a misunderstanding of how probabilities are represented.
The correct way to calculate the combined probability of two independent events is to multiply their individual probabilities. For example, to find P(A AND B) when dealing with independent events, you would calculate P(A) * P(B). Therefore, if P(A) = .2 and P(B) = .3, the correct answer for P(A AND B) would be .06, which corresponds to option D in the exercise provided.
It is also important to clarify misconceptions such as adding probabilities of non-mutually exclusive events. For instance, the fallacy that if there is a 60 percent chance of rain on one day and a 70 percent chance on another, then there is a 130 percent chance of rain over the weekend.
This is incorrect because probabilities cannot exceed 100%. Instead, you would evaluate the chances of rain differently depending on the independence or interdependence of the weather on those days.
Write an equation to represent the following statement.
10 less than j is 35.
_______
Solve for j.
j =_____
Answers
Answer:
j - 10 = 35
j = 45
Step-by-step explanation:
When it says, "less than" it means subtracting. So 10 less than j is (j - 10)
The part where is says "is" means it is equal to.
So the equation would be = (j - 10) = 35
Answer:
Equation: (j - 10) = 35
j = 45
Step-by-step explanation: Lets translate 10 less than j:
Less than means 10 is being subtracted from j.
So we can write 10 less than j as j - 10.
The word is means equal.
So, we can write is 35 as = 35.
Now lets write the whole equation toghter.
j - 10 = 35
We can also write this as 35 = j - 10.
Now we can solve for j.
Add 10 to both sides of the equation to get j by itself.
j - 10 + 10 = 35 + 10
J=45
The following equation matches this situation:
j - 10 = 35
j = 45
choose 1 answer:
a. 11/27
b. 16/27
c. 1
d. 27/16
Answers
Cards in a deck are numbered 1-4. You pick one card and keeps it. You pick a second card. The tree diagram shows you possible outcomes. What is the probability you picked a 1 and then a 2
Answers
The equation y= ax describes the graph of a line. If the value of a is positive,
What direction does the line go?
Answers
Answer:
Step-by-step explanation:
If the value a is positive in the linear equation y = a x ( for example: y = 2 x ) then the line ( from the left to the right ) must go up and to the right. It also passes through the origin ( 0, 0 ). For x = 1: y = 2 * 1 = 2, so that point is ( 1, 2 ), x2 > x1, and y2 > y1.Answer:A. goes up and to the right.
Final answer:
The line described by the equation y = ax slopes upward to the right when the value of a is positive, illustrating a positive relationship between x and y.
Explanation:
The equation y = ax describes a linear relationship between x and y. When the value of a is positive, the line slopes upward to the right on a graph. This behavior is because a positive slope indicates that as the x-value increases, the y-value also increases, leading to an upward trajectory on the graph.
The direction in which the line moves across the graph depends solely on the sign of a, where a positive a signifies an upward slope and a negative a results in a downward slope. Specifically, for a positive a, for every unit increase in x, there is a proportional increase in y, making the graph rise from left to right.
Show some graphing proportional and linear relationships
Answers
write a faction where is the numerator and denominator are both greater than 9. 10 write the fraction in simplest form
Answers
Answer:
10/20=1/2
Step-by-step explanation:
Subtract (5y3 + 6y + 3y4) from (4y4 - 8y3).
A) y4 - 13y3 - 6y
B) y4 - 13y3 + 6y
C) 9y4 -13y3 - 6y
D) y4 + 13y 3 - 6y
Answers
Answer:
a
Step-by-step explanation:
Answer:
A) y ^4 − 13 y^ 3 − 6 y
Step-by-step explanation:
4y^4 - 8y^3
- 5y^3 + 6y + 3y^4
----------------------------
flip the equations around
-8y^3 + 4y^4
- 5y^3 + 6y + 3y^4
------------------------
-13y^3 - 6y + y^4
Rearrange to get:
y^4 - 13y^3 - 6y
I hope this helps you out!!!
Given: △ABC with a2 + b2 = c2 and right △DEF constructed with legs a and b and hypotenuse n
Prove: △ABC is a right triangle.
Complete the missing parts of the paragraph proof.
Proof:
We are given a2 + b2 = c2 for △ABC and right
△DEF constructed with legs a and b and hypotenuse n. Since △DEF is a right triangle, we know that a2 + b2 = n2 because of the . By substitution, c2 = n2 Using the square root property and the principle root, we can take the square root of both sides to get
c = n. By , triangles ABC and DEF are congruent. Since it is given that
∠F is a right angle, then ∠ is also a right angle by CPCTC. Therefore, △ABC is a right triangle by
Answers
Answer:
Pythagorean Theorem
SSS
C
the definition of right triangle
Step-by-step explanation:
Consider a single spin of the spinner. Which events are mutually exclusive? Choose all that apply. a)landing on a shaded sector and landing on a number greater than 3
b)landing on a shaded sector and landing on a 3
c)landing on a shaded sector and landing on an even number
d)landing on an unshaded sector and landing on a number less than 2
e)landing on an unshaded portion and landing on an odd number
Answers
Answer: the correct options are b and d.
Step-by-step explanation:
Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.
Considering a single spin of the spinner, the events that are mutually exclusive are
b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time
d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.
Adrianna ran 10 miles , which was twice as far as Ady ran. How far did Ady run
Answers
Answer:
5 miles
Step-by-step explanation:
5*2=10
Answer:
5 miles
Step-by-step explanation:
Adrianna (a) ran 10 miles.
She ran twice as much as Ady:
Ady = a/2
a = 10
Plug in 10 for a:
Ady = 10/2 = 5
Ady ran 5 miles.
~
Filip decides to buy a muffin.
There is 1 chocolate, 2 blueberry and 3 lemon muffins.
If he picks one at random, what are the chances of him picking a blueberry muffin?
Answer in the form of a fraction in its simplest form.
Answers
Answer:
1/2
Step-by-step explanation:
Do I get brainliest?
Answer:
1/2
Step-by-step explanation:
What is the third quartile of the box-and-whisker plot?
A)
10)
B)
20
C)
25
D)
30
Answers
Answer:
D) 30
Step-by-step explanation:
The third quartile is the last line of the box
Hope this helps!
A box and whisker plot is a graphical representation of variance. The third quartile of the box-and-whisker plot is 30.
What is a box-and-whisker plot?A box and whisker plot is a graphical representation of variance in a set of data.
The third quartile of the box-and-whisker plot is the rightmost line of the box, which means the third quartile of the box-and-whisker plot is 30.
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2x + 3y = 1200
3x + 2y = 1300
Based on the system of equations above, what is the
value of 5x+ 5y?
Answers
So if we added both equations together so 2x+3x =5x and 3y+2y =5y and 1200+1300=2500 so 5x+5y=2500
To find the value of 5x + 5y, you can solve the system of equations using the elimination method, and substitute the values of x and y into the expression.
Explanation:To find the value of 5x + 5y based on the system of equations:
2x + 3y = 1200
3x + 2y = 1300
we can solve the system by either substitution or elimination method. Let's use the elimination method:
Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in both equations the same. Subtract the second equation from the first equation to eliminate x. Solve for y. Substitute the value of y back into one of the original equations to solve for x. Once you have the values of x and y, substitute them into 5x + 5y and calculate the final value.
The value of 5x + 5y in this system of equations is 12500.
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2(x - 5) + 7 = x + 8 what is x represents
Answers
Answer: [tex]x=11[/tex]
Reorder the terms in parentheses
[tex]+(+2x-10)+7=x+8[/tex]
Remove unnecessary parentheses
[tex]+2x-10+7=+x+8[/tex]
Move all terms containing x to the left and all other terms to the right
[tex]+2x-1x=+8+10-7[/tex]
Simplify left and right side of the equation
[tex]+1x=+11[/tex]
divide both sides of the equation by 1 to get x
[tex]x=11[/tex]
If the volume of the prism is 240 cubic inches, what is the base length?
A)
10 inches
12 inches
13 inches
D)15 inches
Answers
Without additional information about the height or area of the base of the prism, it is impossible to determine the base length from the volume alone.
Explanation:To determine the base length of a prism when the volume is known, one must have additional information about the prism, such as the area of the base or other dimensions. Since the question does not provide any information about the height or the area of the base, we cannot calculate the base length solely from the volume. Typically, the volume of a prism is calculated using the formula V = base area × height. Without knowing either the base area or the height of the prism in this question, we cannot find the base length. Thus, we cannot choose from the provided options (10 inches, 12 inches, 13 inches, 15 inches) without additional information about the prism.
Josh spent $42 on snacks.Maia spend $48 on hotdogs and hamburgers.Max spent 35 on rolls,condiments,lettuce,and tomatoes,and Mark and Victoria each spent $40 on drinks. How much did they spend in total?
Answers
Answer:
$165
Step-by-step explanation:
Money spent:
Josh=42
Maia=48
Max=35
Mark and Victoria = 40
35 + 40 + 42 + 48 = $165
Answer:
$205 as it was said $40 each for Mark and Victoria
Step-by-step explanation:
Josh =42 sn
Maia = 48 hd/hb
42+48 = 90
Max = 35 rolls,cd,lt+tm
Mark =40 drinks
Victoria = 40 drinks
35 +80 = 115
115+90 = $205