Answer:
height = 4 in
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = base × height ← substitute values
48 = 12 × height ( divide both sides by 12 )
4 = height
Lines
AB
and
AC
tangent to circle k(O) at B and C respectively. Find BC, if m∠OAB=30°, and AB=5 cm.
Answer:
5 cm
Step-by-step explanation:
If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.
If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.
Consider two right triangles ABO and ACO. In these triangles:
AO is common hypotenuse;∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;OB=OC as radii of the circle k(O).By HL theorem, triangles ABO and ACO are congruent. Then
∠OAB=∠OAC=30°;AC=AB=5 cm.Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.
Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus
∠CBA=∠BCA=1/2(180°-60°)=60°.
Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.
Which relationship describes angles 1 and 2?
complementary angles
adjacent angles
vertical angles
linear pair
Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line
Answer:
Step-by-step explanation:
1 and 2 are vertical angles
Emily is making bracelets for herself and 6 of her friends she needs 1/5 of a yard of string to make each bracelet. How much string will Emily need to make all of the bracelets?
10 feet of string to make all the bracelets.
What is the third quartile of this data set? *I NEED THE HELP ASAP* thx
I think the answer is 44
what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
Answer:
[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The general form of an equation of a circle:
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
We have the center (-2, 1). Substitute to the equation in the standard form:
[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]
Therefore we have the equation:
[tex](x+2)^2+(y-1)^2=4[/tex]
Convert to the general form.
Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]
Simply the expression 6x^2(3x)
Answer:
[tex]\large\boxed{6x^2(3x)=18x^3}[/tex]
Step-by-step explanation:
[tex]6x^2(3x)=(6\cdot3)(x^2x)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=18x^{2+1}=18x^3[/tex]
if you horizontally stretch the quadratic parent function, f(x)=x^2, by a factor of 3, what is the equation of the new function?
Answer: [tex]g(x)=\frac{1}{9}x^2[/tex]
Step-by-step explanation:
By definition, he quadratic parent function [tex]f(x)=x^2[/tex] is the simplest form of a quadratic function.
By definition, if the fucntion is multiplied by the factor b and:
|b|>0 the function is stretched.
If 0<|b|<1 the function is compressed.
Then the new function will have the form:
[tex]g(x)=(\frac{1}{b}x)^2[/tex]
Therefore, keeping the above on mind, if b=3, then the new function is:
[tex]g(x)=(\frac{1}{3}x)^2[/tex]
[tex]g(x)=\frac{1}{9}x^2[/tex]
Answer: g(x)=(1/3(x))^2
Step-by-step explanation:
what’s the area
A. 64
B. 44
C. 30.25
D. 13.75
Answer:
B) 44
Step-by-step explanation:
Let's start with the triangles. Normally, when dealing with triangles, you would use the formula (B*H*1/2), but since there's two identical triangles, we can just do (B*H) and get the area for both:
2.5*5.5=13.75
Then to solve for the square, it is also (B*H):
5.5*5.5=30.25
At this point, to solve for the total area, you just add the areas together:
13.75+30.25=44
Hope this helps!
Answer: B. 44
Step-by-step explanation: The area of a rhombus is base times height. The height is 5.5 cm, and the base is 8 cm. To find the base, add 2.5 and 5.5.
8 x 5.5 = 44
The area is 44 cm^2
Kaleb used the distributive property to write two equivalent expressions. Use w = 5 and w = 10 to determine if the two expressions are equivalent. 12(w – 3) 12w – 36 When w = 5, both expressions have a value of 24. When w = 10, both expressions have a value of . Therefore, the expressions are equivalent.
When w is 5 both expressions have the same value 24.
When w is 10 both expressions have the same value 84.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Substitute w = 5
12 (w - 3)
= 12 (5 - 3)
= 12 x 2
= 24
And,
12w - 36
= 12 x 5 - 36
= 60 - 36
= 24
Now,
Substitute w = 10
12 (w - 3)
= 12 (10 - 3)
= 12 x 7
= 84
And,
12w - 36
= 12 x 10 - 36
= 120 - 36
= 84
Thus,
When w is 5 both expressions have the same value.
When w is 10 both expressions have the same value.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
When [tex]\( w = 10 \),[/tex]both expressions have a value of 84, and the expressions are indeed equivalent.
To determine if the two expressions [tex]\(12(w - 3)\) and \(12w - 36\)[/tex] are equivalent, we can evaluate both expressions for the given values of [tex]\(w\).[/tex]
When [tex]\(w = 5\),[/tex]we substitute [tex]\(5\)[/tex]into both expressions:
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(5 - 3) = 12(2) = 24\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(5) - 36 = 60 - 36 = 24\][/tex]
Both expressions evaluate to [tex]\(24\) when \(w = 5\).[/tex]
Now, let's evaluate both expressions when [tex]\(w = 10\):[/tex]
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(10 - 3) = 12(7) = 84\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(10) - 36 = 120 - 36 = 84\][/tex]
Since the values of both expressions are the same for [tex]\( w = 5 \) and \( w = 10 \),[/tex]we can conclude that the expressions are equivalent.
Which if the following best describes a pair of angles that combine to form a straight angle.
A. Vertical Angles
B. Supplementary Angles
C. Complementary Angles
D. Linear Pair
Answer:
The answer to this is B, because supplementary angles sum up to 180 degrees, which means it is a straight angle.
Answer:
Option B and D
Step-by-step explanation:
Given are four options and we have to select the one which form a straight angle.
The given options are
A. Vertical Angles ... Vertical angles are formed when two lines intersect and hence cannot combine to form a straight angle. Incorrect option.
B. Supplementary Angles ... Supplementary angles are a pair of angles which add upto 180 degrees and hence they form a straight angle. Correct option
C. Complementary Angles ... These pair add up to 90 degrees and cannot combine to form a straight angle. .. Incorrect
D. Linear Pair ... A linear pair is a pair of angles formed on a straight line and hence correct option.
What is the slope of the line with the equation 3y+5x=4
Question 4 options:
-5
−53
35
3
I think none of these are right. It's Y=-5/3x +4/3
ANSWER
[tex] - \frac{5}{3} [/tex]
EXPLANATION
The given line has equation
[tex]3y + 5x = 4[/tex]
Rewrite the equation in the form:
[tex]y = mx + b[/tex]
Add -5x to both sides.
[tex]3y + 5x - 5x = - 5x + 4[/tex]
[tex]3y = - 5x + 4[/tex]
Divide through by 3.
[tex]y = - \frac{5}{3}x + \frac{4}{3} [/tex]
Comparing to the slope intercept formula,
[tex]m = - \frac{5}{3} [/tex]
The slope is
[tex] - \frac{5}{3} [/tex]
Given h(f)=-2(t+5)^2 +4, find h(-8)
Answer:
h(-8) = 22
Step-by-step explanation:
Plug -8 in for t and simplify...
h(-8) = 2(-8 + 5)² + 4
h(-8) = 2(-3)² + 4
h(-8) = 2(9) + 4
h(-8) = 18 + 4
h(-8) = 22
Answer:
Step-by-step explanation:
Given h(f)=-2(t+5)^2 +4
There is an intermediate step which is
h(f) = -2(f + 5)^2 + 4
h(-8) = -2(-8 + 5)^2 + 4
h(-8) = -2(-3)^2 + 4
h(-8) = -2(9) + 4
h(-8) = -18 + 4
h(-8) = - 14
How do I find the median for 77,82,87,85,32,78?
Answer:
80
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle
Arrange the data in ascending order ( smallest to largest )
32, 77, 78, 82, 85, 87
There is no value exactly in the middle, use the average
median = [tex]\frac{78+82}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80
I need to answer this and also EXPLAIN how I got it. Help pls
Answer:
1+4*2=10
Step-by-step explanation:
1 + 4 is equal to 5 then multiply 5 by 2 and you get 10
Step-by-step explanation:
Let's solve for x.
x+4y=10
Step 1: Add -4y to both sides.
⇒x+4y+−4y=10+−4y
⇒x=−4y+10
Answer:
x=−4y+10
* Hopefully this helps:) Mark me the brainliest:)!!
Mr. broun paid $3.30 in tax on a $55 motel bill. What percent of $55 was the Tax?
Answer:
That would be 6%.
Answer:
6%
Step-by-step explanation:
55(x)= 3.30
3.30/55 = .06
x=.06 which equals 6%
FACTOR THE TRINOMIAL: x^2+6x+5
PLZZ HELP AND ANSWER W/ STEPS
Answer: (x + 1)(x + 5)
Step-by-step explanation:
Need to find two numbers whose product is the c-value (5) and whose sum is the b-value (6).
x² + 6x + 5
∧
1 + 5 = 6 this works!
So the factors are: (x + 1)(x + 5)
Ameri is standing 50 feet from the base of a building from where he stands the angle formed between the top of the building in the ground at his feet is 60 how tall is the building
Answer:
The answer would be...
Step-by-step explanation:
50 square root of 3 ft
Answer:
The answer is C.50 StartRoot 3 EndRoot ft
Step-by-step explanation:
Which of these functions has an inverse function? Select all that apply.
y = x
y = x^2
y = x^3
y = x^4
ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Thus, the function is one to one.
For y=x or
[tex]f(x) = x[/tex]
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Hence this function has an inverse.
For the function y=x² or f(x)=x².
[tex]f(a) = f(b) \Rightarrow \: {a}^{2} = {b}^{2} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
[tex]f(a) = f(b) \Rightarrow \: {a}^{3} = {b}^{3} \Rightarrow \: a = b[/tex]
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
[tex]f(a) = f(b) \Rightarrow \: {a}^{4} = {b}^{4} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse over the entire real numbers.
Answer:
The function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
Step-by-step explanation:
Function inverse definition:
If a provided function f(x) is mapped x to y, then the inverse of the provided function f(x) is mapped y to x.
Or [tex]f(x)=f(y)\Rightarrow x=y[/tex]
Now, consider the function y = x.
Interchange the variables x and y.
[tex]x=y[/tex]
Now, solve [tex]x=y[/tex] for [tex]y[/tex].
[tex]x=y[/tex]
Therefore, this function has an inverse.
Consider the function [tex]y=x^{2}[/tex].
Interchange the variables x and y.
[tex]x=y^{2}[/tex]
Now, solve [tex]x=y^{2}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt{x} =y[/tex]
Therefore, the function has no inverse.
Consider the function [tex]y=x^{3}[/tex].
Interchange the variables x and y.
[tex]x=y^{3}[/tex]
Now, solve [tex]x=y^{3}[/tex] for [tex]y[/tex].
[tex]\sqrt[3]{x}=y[/tex]
Therefore, the function has inverse.
Consider the function [tex]y=x^{4}[/tex].
Interchange the variables x and y.
[tex]x=y^{4}[/tex]
Now, solve [tex]x=y^{4}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt[4]{x}=y[/tex]
Therefore, the function has no inverse.
Hence, the function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
Write 33% as a fraction in simplest form
Answer: the answer to 33% is around 1/3
Step-by-step explanation:
Answer:
33/100
Step-by-step explanation:
There is no way to simplify
Select the correct answer.
What would be the tax amount to be paid on $22,000 taxable income according to the marginal tax rate (tax rate below $9,225 is 10%, and between $9226 and $37,450 is 15%)?
A: $2536.50
B: $3123.25
C: $2838.75
D: $1225.25
Answer:
I'd go with B because it's closest, not sure if some context is missing to get an exact answer....
Step-by-step explanation:
22000 falls in the 15% tax rate bracket
Tax=income•rate
Tax=22000•(15/100)
Tax=3300
Answer:
The answer is C
Step-by-step explanation:
How many tables are needed ~~~~~PLEASE HELP
Answer:
it would be 5 tables
Step-by-step explanation:
1:6
2:10
3:14
4:18
5:22
just count by 4
The jacket is on sale for $36 which Is 80% of the original cost. What is the original price of the jacket?
Answer:
45
Step-by-step explanation:
percent x whole = part
80%w = 36
.8w=36
divide .8 by both sides
w=45
A Circle Has a radius of six inches what is the exact length of an arc formed by a central angle measuring 45 degrees
[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta =45 \end{cases}\implies s=\cfrac{(45)\pi (6)}{180}\implies s=\cfrac{3\pi }{2}\implies s\approx 4.7[/tex]
what is the surface area formula for this shape and if you could explain that would help me a lot
Answer:
I think it's A
Step-by-step explanation:
The reason is because the circle is pi r ^2 but the wedge is some kind of fraction of a circle with degree 1, like area times circumference. The question should say, which of the following is the most probable formula for SA.
Answer:
[tex]\large\boxed{C.\ S.A.=\pi r^2+\pi rl}[/tex]
Step-by-step explanation:
It's a net of a cone.
The formula of a surface area of a cone:
[tex]S.A.=\pi r^2+\pi rl[/tex]
What is the pattern in the values as the exponents increase?
Answer:
Multiply the previous value by 2
Step-by-step explanation:
As the exponents increase,
(that is, they go from negative to positive)
-5,-4,-3,-2, -1,0
------------------------>
We see that each previous value is multiplied by a factor of 2
We can see the graph of the values in the picture below
Which expression represents the number of coins Sarah has.
Sarah has 16 coins, but spends some of them during the day.
A. C - 16
B. 16c
C. 16 - c
D. 16 + c
This answer gone be c.16-c
Answer:
is it 16 c or not
Step-by-step explanation:
Besides 6 and 1, what is one factor of 6?
Three times two equals six
Another factor of 6, besides 6 and 1, is 3. Factors are numbers that divide into another number without leaving any remainder. Both 2 and 3 are factors of 6 since 2 multiplied by 3 equals 6.
Besides 6 and 1, another factor of 6 is 3.
Factors are whole numbers that divide evenly into another number. For the number 6, the factors are 1, 2, 3, and 6. The process of factoring involves finding all numbers that you can multiply together to get the number in question. In this case, 2 multiplied by 3 equals 6.
We can also verify this by noting that dividing 6 by 3 gives us 2 with no remainder, confirming that 3 is indeed a factor of 6.
Please help I will give brainliest please show work and find the volume of this odd looking pyramid
Answer:
206 2/3 ft³
Step-by-step explanation:
The volume of this solid is given by V = (1/3)(base area)(height).
Here, V = (1/3) (62 ft²) (10 ft ) = 206 2/3 ft³
A very small town has only five residents with the following incomes (all in thousands): $33, $24, $22, $45, $99. Find the median income.
Answer:$33,000
Step-by-step explanation:
Answer:
a.33,000
Step-by-step explanation:
what is 4 apples per pound
Answer:
It actually really depends on the size of the apples, say 1 pound of aan apple should be approx 3 medium-sized apples, so maybe for 3 pounds of an apple it would be around 9 medium sized apples.