The figure below is formed from a triangle and a
square. The square has sides that measure 5 units.
Find perimeter of the entire figure.

Answer:

[tex]BA = 6.0[/tex]

[tex]BC = 13.4[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

[tex]tan\ C = \frac{BA}{AC}\\[/tex]

This gives:

[tex]tan\ 25 = \frac{BA}{12}[/tex]

Make BA the subject

[tex]BA = 12 * tan\ 25[/tex]

[tex]BA = 12 * 0.4663[/tex]

[tex]BA = 6.0[/tex] --- approximated

Solving (a) BC

Using Pythagoras theorem

[tex]BC^2 = BA^2 + AC^2[/tex]

[tex]BC^2 = 6.0^2 + 12^2[/tex]

[tex]BC^2 = 180[/tex]

Square root of both sides

[tex]BC = \sqrt{180[/tex]

[tex]BC = 13.4[/tex]

Answer:

Slope would be -3/1

Answer:

-3/1 is the slope since you are going down 3 and going to the right one time.

Answer:

let no be x

293+x=326

x=326-293=33

33 is needed to add.

Answer:

2.2

Step-by-step explanation:

Answer:

domain:{10,28,42,52}

range:{-10,6,10}

Step-by-step explanation:

Hello There!

If you didn´t know the domain is the set of x values

the x values in the given relation are

10,28,42,10 and 52

so the domain is {10,28,42,52}

The range is the set of y values

the y values in the given relations are

6,-10,6,10,10

so the range is {-10,6,10}

Answer:

Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value

Step-by-step explanation:

Answer:

B. As t approaches positive infinity, A(t) approaches zero and B(t) approaches positive infinity.

Step-by-step explanation:

I got it right on my test

Answer:

14 minutes

Step-by-step explanation:

The barrel held 21 quarts of oil, which is equal to 84 cups. Trina drains the barrel at 6 cups per minute, so to find out how much time it takes her to drain it, divide 84 by 6:

84 / 6 = 14

So, it took Trina 14 minutes to drain the whole barrel.

Answer:

choosing the correct number between 1 and 10

hope my ans helps

plz give brainliest to my answer

be sure to follow me

stay safe

have a good day

Answer:

180

Step-by-step explanation:

Answer:

72 cm³

Step-by-step explanation:

i just took the test :)

The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).

The formula for the volume of a right square pyramid is:

V = (1/3) B × h

where B is the area of the base and h is the height of the pyramid.

Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.

The area of the square base is:

B = s² = 6² = 36 cm²

The volume of a right square pyramid is:

V = (1/3) B × h

Substituting in the given values, we get:

V = (1/3) × 36 × 6

V = 72 cm³

Therefore, the volume of the pyramid is 72 cm³.

Learn more about the volume of the pyramid here:

https://brainly.com/question/13268927

#SPJ3

Answer:

Part A

There is sufficient statistical evidence to suggest that the difference between the proportion of White students exposed to poverty is likely due to something beside chance

Part B

There is sufficient statistical evidence to suggest that the difference between the proportion of Black students exposed to poverty is likely due to something beside chance

Step-by-step explanation:

Part A

The given data are;

The percent of White students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 30%

The number of White students in the district in 2,000, n₁ = 5184

The percent of White students exposed to school poverty in 2,015, [tex]\hat p_2[/tex] = 47.8%

The number of White students in the district in 2,015, n₂ = 7,306

The significant level, α = 0.05

The confidence level = 1 - α/2 = 1 - 0.05/2 = 0.975

The critical z at 0.975 confidence level, [tex]Z_c[/tex] = 1.96

The null hypothesis, H₀; [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]

The null hypothesis, H₀; [tex]\hat p_1[/tex] ≠ [tex]\hat p_2[/tex]

The Z test is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Therefore, we have;

[tex]Z=\dfrac{0.3 - 0.478}{\sqrt{0.3 \cdot (1-0.3)\left (\dfrac{1}{5184}+\dfrac{1}{7306} \right )}} = -21.3894[/tex]

Given that the actual Z is much larger than the critical Z, we reject the null hypothesis that the difference between the proportion of White students is likely due to something other than chance

Part B, we have;

The percent of black students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 34.5%

The number of black students in the district in 2,000, n₁ = 1035

The percent of black students in the district in 2,015, [tex]\hat p_2[/tex] = 76.1%

The number of black students in the district in 2,000, n₁ = 2037

[tex]Z=\dfrac{0.345 - 0.761}{\sqrt{0.345 \cdot (1-0.35)\left (\dfrac{1}{1,035}+\dfrac{1}{2,037} \right )}} =-22,925[/tex]

Similarly, due to the large value of Z compared to [tex]Z_c[/tex], there must be other variables responsible for the difference in proportion

Answer:

.25 is the answer

Step-by-step explanation:

.5/2=.25

Answer:

$15.20

Step-by-step explanation:

When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.

56.80 + 19.20 = 76

76 ÷ 5 = 15.20

Thus the mean cost is $15.20

Hope this helped!

Answer:

36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.

Hope this helps! Brainliest?

Answer:

The integral of the volume is:

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

The result is: [tex]V = 78.97731[/tex]

Step-by-step explanation:

Given

Curve: [tex]x^2 + 4y^2 = 4[/tex]

About line [tex]x = 2[/tex] --- Missing information

Required

Set up an integral for the volume

[tex]x^2 + 4y^2 = 4[/tex]

Make x^2 the subject

[tex]x^2 = 4 - 4y^2[/tex]

Square both sides

[tex]x = \sqrt{(4 - 4y^2)[/tex]

Factor out 4

[tex]x = \sqrt{4(1 - y^2)[/tex]

Split

[tex]x = \sqrt{4} * \sqrt{(1 - y^2)[/tex]

[tex]x = \±2 * \sqrt{(1 - y^2)[/tex]

[tex]x = \±2 \sqrt{(1 - y^2)[/tex]

Split

[tex]x_1 = -2 \sqrt{(1 - y^2)}\ and\ x_2 = 2 \sqrt{(1 - y^2)}[/tex]

Rotate about x = 2 implies that:

[tex]r = 2 - x[/tex]

So:

[tex]r_1 = 2 - (-2 \sqrt{(1 - y^2)})[/tex]

[tex]r_1 = 2 +2 \sqrt{(1 - y^2)}[/tex]

[tex]r_2 = 2 - 2 \sqrt{(1 - y^2)}[/tex]

Using washer method along the y-axis i.e. integral from 0 to 1.

We have:

[tex]V = 2\pi\int\limits^1_0 {(r_1^2 - r_2^2)} \, dy[/tex]

Substitute values for r1 and r2

[tex]V = 2\pi\int\limits^1_0 {(( 2 +2 \sqrt{(1 - y^2)})^2 - ( 2 -2 \sqrt{(1 - y^2)})^2)} \, dy[/tex]

Evaluate the squares

[tex]V = 2\pi\int\limits^1_0 {(4 +8 \sqrt{(1 - y^2)} + 4(1 - y^2)) - (4 -8 \sqrt{(1 - y^2)} + 4(1 - y^2))} \, dy[/tex]

Remove brackets and collect like terms

[tex]V = 2\pi\int\limits^1_0 {4 - 4 + 8\sqrt{(1 - y^2)} +8 \sqrt{(1 - y^2)}+ 4(1 - y^2) - 4(1 - y^2)} \, dy[/tex]

[tex]V = 2\pi\int\limits^1_0 { 16\sqrt{(1 - y^2)} \, dy[/tex]

Rewrite as:

[tex]V = 16* 2\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

Using the calculator:

[tex]\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy = \frac{\pi}{4}[/tex]

So:

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

[tex]V = 32\pi * \frac{\pi}{4}[/tex]

[tex]V =\frac{32\pi^2}{4}[/tex]

[tex]V =8\pi^2[/tex]

Take:

[tex]\pi = 3.142[/tex]

[tex]V = 8* 3.142^2[/tex]

[tex]V = 78.97731[/tex] --- approximated

Answer:

420 points

Step-by-step explanation:

5 levels of video games = 175 points

1 level = 175 ÷ 5

= 35 points

Therefore,

12 levels of video games = 35 × 12

= 420 points

Answer:

y = 2/3x + 4

Step-by-step explanation:

y = 2/3x + b

substitute

4 = 2/3(-6) + b

4 = -4 + b

what number added to -4 will equal 4? the only answer is 8.

-4 + 8 = 4.

b = 4

Answer:

Step-by-step explanation:

7+3 = 10 $4+$6=$10

so it costs 10 dollars to make ten cards, how many times does 10 go into 25? 2

so $20 so far, I'm not that good at explaining.

Now with the remaining 5 cards that we have to make, we add three and have 24$ for 23 cards. Now with the remaining two cards we add $1.50.

because 2 x 1.50 = 3

so $25.50 for 25 cards I think...

I really hope I'm right and I hope this helps!

Answer:

z=13

Step-by-step explanation:

Answer:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Step-by-step explanation:

A standard polynomial in factored form is given by:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]

Simplify:

[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]

Expand the second and third factors:

[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]

Hence, our function is now:

[tex]f(x)=a(x-2)(x^2+64)[/tex]

It equals 320 when x = 4. Therefore:

[tex]320=a(4-2)(4^2+64)[/tex]

Solve for a. Evaluate:

[tex]320=(2)(80)a[/tex]

So:

[tex]320=160a\Rightarrow a=2[/tex]

Our third-degree polynomial equation is:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Answer:

f(x)=2(x-2)(x^2+64)

Step-by-step explanation:

Answer is in the file below

cutt.us/brainly

A=352in2

A=2(wl+hl+hw)=2·(8·12+4·12+4·8)=352in²

Answer:

what they currently going over?

Answer:D

Step-by-step explanation:

it has 2 number between 8-10 and the graph doesn't

PLZ GIVE BRAINLY

Answer:

10

Step-by-step explanation:

6^2+8^2=x^2

36+64=x^2

x=sqrt100

x=10

Answer:

no solution

Step-by-step explanation:

Solution

x=5

x= -3/2

Hopefully its good