Answer:
[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex]
Step-by-step explanation:
If ant two given triangles are SIMILAR, then they have equal corresponding angles and their corresponding sides are PROPORTIONAL.
For example: if Δ ABC ≈ Δ PQR, then
∠A = ∠P , ∠B = ∠Q and ∠C = ∠R
and [tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}[/tex]
Now, here given: Δ ADE ≈ Δ ABC
Then by the SIMILAR postulate their corresponding angles are equal and their corresponding sides are Proportional.
[tex]\implies \frac{AD}{AB} = \frac{DE}{BC} = \frac{AE}{AC}[/tex] ............. (1)
Consider from above:
[tex]\frac{DE}{BC} = \frac{AE}{AC}\\\implies \frac{DE}{AE} = \frac{BC}{AC}[/tex] ............. (2)
Here, the given options are:
[tex]A) \frac{EA }{DE} =\frac{CB}{AC}[/tex] FALSE
[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex] TRUE (from 2)
[tex]C) \frac{DE }{EA} =\frac{AC}{CB}[/tex] FALSE
[tex]C) \frac{EA}{DE} =\frac{AC}{CB}[/tex] FALSE
Answer:
b
Step-by-step explanation:
took test
Help please! Find the surface area
Answer:
624 cm^2
Step-by-step explanation:
Base: 13 × 13 = 169
Rectangular Sides: 12 × 13 = 156 (×2 = 312)
Triangular Sides: 11 × 13 = 143
Add: 169 + 312 + 143 = 624
Which expression represents the volume of the prism?
Answer:
Step-by-step explanation:
5x^2+ 23x + 12
Factoring
Answer:
[tex](5 x+ 3)(x + 4)[/tex]
Step-by-step explanation:
We want to factor
[tex]5 {x}^{2} + 23x + 12[/tex]
By comparing to
[tex]a {x}^{2} + bx + c[/tex]
We have a=5, b=23, c=12
ac=60
We split the middle term with 3x+20x, since 3×20=60
This implies that:
[tex]5 {x}^{2} + 3x + 20x + 12[/tex]
Factor by grouping;
[tex]x(5 x+ 3)+ 4(5x + 3)[/tex]
We collect common factors again;
[tex](5 x+ 3)(x + 4)[/tex]
5c – 9d + d + 7 – 12c - 41
Answer: -7c - 10d - 34
Step-by-step explanation:
5c – 9d + d + 7 – 12c - 41
Combine like terms
5c - 12c -9d + d -41 + 7
= -7c - 10d - 34
I hope this helps.
Which expression is equivalent to 5+n
hehdbdbdhdhdhjrjrjjr
n+5
Please help with this question
The length of a rectangle is one foot more than twice it’s width. if the area of the rectangle is 300 ft.² find the dimensions of the rectangle
Answer:
Length= 12 ft
Width= 25 ft
Step-by-step explanation:
We will use the area of the rectangle formula to solve this question. The formula is: [tex]Area= length* width[/tex]
Let, the width of the rectangle is x, so the length is one foot more than twice it’s width, and is written as:
width= 2x+1
Now the area of the rectangle is given as:
300 [tex]ft^2[/tex]
So using the formula of the area of a rectangle, we get:
[tex]Area= length* width\\\Rightarrow 300= x(2x+1)\\\Rightarrow 2x^2+x-300=0\\\Rightarrow x=\frac{-1 \pm \sqrt{1^2-4 \cdot \:2\left(-300\right)}}{2\cdot \:2}\\\Rightarrow x=12,\:x=-\frac{25}{2}\\[/tex]
But we will take only positive value of x, as length can't be negative.
So the dimensions of the rectangle are:
Length= 12 ft
Width= 25 ft
To solve for the dimensions of the rectangle with an area of 300 square feet and a length one foot more than twice its width, you begin with the formula for the area of a rectangle. After setting up the quadratic equation, solving it yields a width of 10 feet and a length of 21 feet, making the dimensions 10 feet by 21 feet.
Explanation:To find the dimensions of a rectangle where the length is one foot more than twice its width, and the area is 300 square feet, you set up two equations based on the given information.
Let the width be w feet. Then, the length l would be 2w + 1 feet. The area A of a rectangle is given by the formula A = w × l. Substituting the known area and the expression for l, we have 300 = w × (2w + 1).
To solve for w, we should solve the quadratic equation w^2 + w - 150 = 0. Factoring the quadratic, we get (w - 10)(w + 15) = 0. This gives us two possible solutions for the width: w = 10 or w = -15. Since a negative width doesn't make sense in this context, we use w = 10 feet. The length is thus 2 × 10 + 1 = 21 feet.
Therefore, the dimensions of the rectangle are 10 feet by 21 feet.
Learn more about Rectangle Dimensions here:
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please help lol i did some of them on the front page
7. 1,817
6 × 6 × 52
8. 456,976,000
26 × 26 × 26 × 26 × 10 × 10 × 10
9a. 25%
50% × 50%
9b. 4%
20% × 20%
9c. 10%
50% × 20%
9d. 2.5%
5% × 50%
10. 12/216 ~ 5.556%
1/6 × 3/6 × 4/6
11. 3.125%
50% × 50% × 50% × 50% × 50%
12. 15/144 ~ 10.417%
3/12 × 5/12
13. 56.25%
93.75% × 60%
14a. 45/600 = 7.5%
9/25 × 5/24
14b. 30/600 = 5%
6/25 × 5/24
A lawn is in the shape of a right triangle with a perimeter of 215 feet. The lengths of the sides of the triangle are each multiplied by 7. What is the perimeter of the new triangle?
A. 1505 ft.
B. 6100 ft.
C. 7120 ft.
D. 8640 ft.
Perimeter of the new triangle is 1505 ft
Step-by-step explanation:
Step 1: Given the perimeter of the right triangle = 215 ft. Find new perimeter.Perimeter of the triangle = sum of the sides = a + b + c = 215
Each side is multiplied by 7, so new sides are 7a, 7b, 7c
⇒ New perimeter = 7a + 7b + 7c = 7(a + b + c) = 7 × 215 = 1505 ft
The state narcotics bureau must form a 5-member investigative team. If it has 25 agents from which
to choose, how many different possible teams can be formed?
Answer:25/5=5
Step-by-step explanation: so the answer will be 5 plz mark brainly
Lorena's home is 125 meters away from the school.how many meter does she walks every day if she takes the same distance back home? How many meters does she walks in a week?
Hello friend!
Answer: 1750 meters.
Lorenas walks 125 meters to school and back, therefor that's 250 meters. If we take 250 and multiply that by home many days are in a week (which is seven) are answer will be 1750.
125x2=250x7=1750.
Have a amazing day and good luck on your assignment!
-Edge
1750 meters.
Lorenas walks 125 meters to school and back, therefor that's 250 meters. If we take 250 and multiply that by home many days are in a week (which is seven) are answer will be 1750.
125x2=250x7=1750.
HOPE YOU ACE WHATEVER YOUR TAKING!!!
Bonita drove 8 miles from her home to the library, and then drove back.
Graph A shows her distance from home during the trip.
Graph B will show her distance from the library during the trip.
Complete each statement about Graph B.
Answer:
8 miles, decrease, at 0 miles
Step-by-step explanation:
1). At 0 minutes height of the graph will be 8 miles.
2). Then the graph will decrease until 15 minutes , when Bonita reaches the library.
3). At 15 minutes, the height of graph will be 0 miles.
1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated? Record your answers in cubic centimeters, round to the nearest whole number. Use 3.14 for pie.
2. Which exponent can be substituted for the letter x to make the equation true?
4^x=64
1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.
2) The value of x is 3.
Step-by-step explanation:
It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.
1) To find the volume of the beach ball :
Use the formula for volume of sphere to find the volume of beach ball when fully inflated.
Volume of sphere = (4/3)πr³
where, r is the radius of the sphere and π has the default value of 3.14.
To find the radius :
The given circumference is 141.3 = 2πr
⇒ r = 141.3 / 2π
⇒ r = 141.3 / (2×3.14)
⇒ r = 141.3 / 6.28
⇒ r = 22.5
Now, substituting r= 22.5 in the volume of sphere formula
Volume of sphere = (4/3) ×3.14× (22.5)³
⇒ 4/3 ×3.14 ×11391
⇒ (12.56×11391) / 3
⇒ 47690 cubic centimeters
The volume of the beach ball when fully inflated is 47690 cubic centimeters.
2) The given equation is [tex]4^{x} = 64[/tex]
⇒ 64 = 4×4×4
⇒ 64 = 4³
Therefore, the value of x is 3.
Final answer:
The volume of the beach ball when fully inflated is approximately 48,000 cubic centimeters. To find the exponent x that makes the equation 4^x=64 true, we see that x must equal 3, since 64 is 4 cubed.
Explanation:
To calculate the volume of an inflatable beach ball with a circumference of 141.3 centimeters, we first need to determine its radius. The formula connecting circumference (C) and radius (r) of a sphere is C = 2πr. Using 3.14 for π, we can rearrange to find r: r = C / (2π).
r = 141.3 cm / (2 × 3.14)
= 141.3 cm / 6.28
= 22.5 cm (approximately)
Now, we can use the formula for volume of a sphere which is V = (4/3)πr³. Plugging in the value of the radius, we get:
V = (4/3)× 3.14 × (22.5)³
= (4/3)× 3.14 × (11,390.625 cm³)
= 48,000 cm³ (approximately)
The volume of the beach ball is approximately 48,000 cubic centimeters when fully inflated, rounding to the nearest whole number.
For the second part of the question, we want to find the exponent x that equates 4 raised to the power x to 64. Since 64 is 4 cubed (or 4³), we can easily see that x = 3 to make the equation 4³=64 true.
what is p(1 or 6) when rolling a number cube
help please please please
Answer:
There are 9 quarters and 3 nickels
Step-by-step explanation:
problems used: 0.5x+0.25y=3.09
x=y+6
so substitute what x is equal to into the problem
0.5(y+6)+0.25y=3.09 <--------- distribute
0.5y+3+0.25y=3.09 <--------- Combine like terms
0.3y+3=3.09 <----------- Subtract 3 on both sided to get y by itself
0.3y=0.9 <------------ Divide by 0.3 on both sides to get what y is equal to
y=3 <-------- now substitute to find what x is equal to
x=3+6
x=9
Answer:
There are 8 nickels and 14 quarters.
Step-by-step explanation:
Let n and q represent the numbers of nickels and quarters present.
Then q = n + 6 states that there are 6 more quarters than there are nickels.
($0.25)(q) + ($0.05)n = $3.90, in which we substitute n + 6 for q:
($0.25)(n + 6) + ($0.05)n = $3.90
Combining the n terms, we get 0.25n + 0.05n = 3.90 - 0.25*6, or:
0.30n = 3.90 - 1.50, or:
$2.40
n = ----------------------- = 8
0.30
There are 8 nickels and 14 quarters.
Check: 14 quarters comes to $3.50 and 8 nickels to $0.40, and $3.50 + $0.40 sums up to $3.90.
At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Answer:
There were 6 onion rings and 2 slider in the combination meal.
Step-by-step explanation:
Let x be the number of onion rings and y be the number of slider.
Calories in one onion ring = 45 calories
Calories in one slider = 325 calories
Total number of calories = 920
Thus, we can write the equation:
[tex]45x + 325y = 920[/tex]
There are 3 times as many onion rings as the sliders.
Thus, we can write the equation:
[tex]x = 3y[/tex]
Solving the two equation by substitution method, we get,
[tex]45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6[/tex]
Thus, there were 6 onion rings and 2 slider in the combination meal.
The system of equations that can be used to determine the required values is:
45x + 325y = 920 equation 1
3x = y equation 2
Where:
x = total number of onions
y = total number of sliders
In order to determine the number of onions and sliders in the combination meal, equation 1 and 2 have to be solved together in order to determine the required values. This is known as solving equations simultaneously. They can be solved using two methods:
elimination methodsubstitution method
To learn more about simultaneous equations, please check: brainly.com/question/23589883
Joe can run 100 m in 24 seconds so how long does it take to run to 2 kilometres
Answer:
2km = 8 minutes (480seconds) as 0.1km = 24seconds 1km =240 seconds.
Step-by-step explanation:
Please hurry it’s urgent
The following table represents the number of whales spotted on the Oregon coast during one week. Which line graph best represents the information presented in the table?
Day Number of Whales
Sunday 31
Monday 4
Tuesday 0
Wednesday 12
Thursday 0
Friday 11
Saturday 7
Answer: I am not sure how to help you answer this without the attached graph options.
Step-by-step explanation:
If you could add those in, then I would be more than willing to help you!
Answer:
C. Its the third graph.
Rank the following in order from most precise to least precise.
5.46 seconds
900 miles
980 meters
8.431 grams
Answer:
8.431 grams>5.46 seconds>980 meters>900 miles
Precision in measurements is indicated by the level of detail or the number of decimal places. The measurements ranked from most precise to least are 8.431 grams, 5.46 seconds, 980 meters, and 900 miles.
To rank the given measurements from most precise to least precise, we need to consider how detailed the measurement is, which is often indicated by the number of decimal places or significant figures. Precision refers to how close multiple measurements are to each other, and in this context, we measure it by the detail level provided in the measurement.
8.431 grams - This measurement is the most precise since it is given to three decimal places.
5.46 seconds - The next most precise measurement, given to two decimal places.
980 meters - This measurement, although a whole number, is more precise than '900 miles' since distances in meters usually imply a more precise measurement scale in common contexts.
900 miles - The least precise measurement, with no decimal places, indicating a broad estimate of distance.
Therefore, from most to least precise, the measurements are: 8.431 grams, 5.46 seconds, 980 meters, and finally 900 miles.
Write the equivalent expression for k(1/4+3)
Answer:k1/4+k3
k3 1/4
Step-by-step explanation:
Peta was swimming with stingrays. The first stingray she
swam with was 5 1/4 feet long.The second one she swam with was 4 3/4
feet long
How much longer was the first stingray. PLS HELP HURRY
Answer: 1/2 foot longer
Step-by-step explanation:
This is subtracting fractions.
Subtract 4 3/4 from 5 1/4. The difference of those fractions is the answer.
A baby monitor picks up signals within a 50 meter radius. How many square meters of coverage does the baby monitor provide?
The total coverage does the baby monitor provides is 7854 square meters and this can be determined by using the formula of the area of a circle.
Given :
A baby monitor picks up signals within a 50-meter radius.
The following steps can be used in order to determine the total square meters of coverage does the baby monitor provide:
Step 1 - The formula of the area of the circle can be used in order to determine the total square meters of coverage does the baby monitor provides.
Step 2 - The formula of the area of the circle is given below:
[tex]\rm Area = \pi r^2[/tex]
where r is the radius of the circle.
Step 3 - Now, substitute the value of the radius in the above expression.
[tex]\rm Area = \pi \times (50)^2[/tex]
Step 4 - Simplify the above expression in order to determine the total square meters of coverage does the baby monitor provides.
Area = 7854 square meters
For more information, refer to the link given below:
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The baby monitor provides coverage of 7854 square meters.
A baby monitor picks up signals within a 50 meter radius. To determine the coverage area, you need to find the area of a circle with this radius.
Use the formula for the area of a circle, A = πr², where r is the radius:
Given radius, r = 50 metersPlug into the formula: A = π × (50 meters)²Calculate: A = 3.14159 × 2500Result: A ≈ 7854 square metersTherefore, the baby monitor provides coverage of approximately 7854 square meters.
Given: A= {(2,3), (5,1).(-3,-2), (0, 3))
What is the domain of A?
Answer:
The domain is (2,5,-3,0)
Step-by-step explanation:
we know that
For a set of ordered pairs, the first elements of each ordered pair represents the domain of the function and second elements of each ordered pair represents the range of the function.
The domain of a function is the set of all possible values of x
In this problem we have
[tex]A= \ [(2,3), (5,1).(-3,-2), (0, 3)\ ][/tex]
therefore
The domain is (2,5,-3,0)
A circle has a radius of 3. An Arc in this circle has a central angle of 20 degrees. What is the length of the arc?
Answer:
Step-by-step explanation:
L=®/3602πr
L=20/360×2×3.14×3
L=1.04
per
Evaluate the expression when c=4 d=6 and e=10 7d
Answer:
42
Step-by-step explanation:
~~~~~~Hello There~~~~~~
1. Since 7d is our expression, and d = 6, that means we have to multiply.
2. The product of 7 and 6 is 42, meaning 42 is our answer.
3. Our final answer is 42.
Hope this helped!
~ delightedsunrise8
Luis has $20.He buys 4 cans of tennis balls and gets $8 back as change.How much did one can of tennis balls cost?
Answer: 3.
Basically, whaat I did was just look at the question, 20 - 8 would be 12. 12 divided by 4 would be 3.
Answer:
$3
Step-by-step explanation:
Equation: 20≥4x+8
20≥4x+8
First Subtract 8 on both sides.
20-8≥4x+8-8
12≥4x
Divide the 4.
3≥x
On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 2, negative 2) and then goes up through (negative 4, 2) with an arrow instead of an endpoint. The second line has an open circle at (2, 1) and then goes up through (5, 4) with an arrow instead of an endpoint.
Which values are within the domain of the function? Check all that apply.
x = –6
x = –4
x = –2
x = 0
x = 2
x = 4
its A B C F
Answer:
-4, -2 and 4
Step-by-step explanation:
Consider x represents the input value,
Given,
In the piece-wise function,
The first line has a closed circle at (-2, negative 2) and then goes up through (-4, 2) with an arrow instead of an endpoint.
Thus, -4 ≤ x ≤ -2.
The second line has an open circle at (2, 1) and then goes up through (5, 4) with an arrow instead of an endpoint.
Thus, 2 < x ≤ 5.
Since domain of a function is all possible input values,
Therefore, domain = [-4,-2]∪(2,5]
-6 ∉ [-4,-2]∪(2,5]
-4 ∈ [-4,-2]∪(2,5]
-2 ∈ [-4,-2]∪(2,5]
0 ∉ [-4,-2]∪(2,5]
2 ∉ [-4,-2]∪(2,5]
4 ∈ [-4,-2]∪(2,5]
Hence, -4, -2 and 4 are within the domain of the function.
Answer:
The person who ask this question is right its ABCF
Step-by-step explanation:
I need help with a math problem 6838 multiplied by 2830 then that answer divided by 2
Answer:
9675770
Step-by-step explanation:
Hope this helps
cost 75.09 with a 38% markup
Answer:
103.62
Step-by-step explanation:
If I am understanding this question correctly you want the answer for how much the total would be for a 38% markup at a starter price of 75.09.
In which case it would be 103.62.
It is a 28.53 increase.