Explain, with a test, why the two triangles in each figure are similar. Find the
unknown lengths.

Answer:

Base: 16 cm

Height: 48 cm

Step-by-step explanation:

Let's call the length of the base b, and the length of the height h. Since the formula for the area of a triangle is bh/2, you can set up the following equations:

[tex]h=3b\\\dfrac{bh}{2}=384\\ \dfrac{b(3b)}{2}=384\\\dfrac{3b^2}{2}=384\\3b^2=768\\b^2=256\\b=16\\h=16\cdot 3=48[/tex]

Hope this helps!

Answer:

Iced Tea

Step-by-step explanation:

water is not normally 7.99$ so i'm guessing Iced tea depending on the fact that it could be a large or extra large which could get to the total of 7.99$

Answer:

3/20 or .15

Step-by-step explanation:

You need to find 3/5 of 1/4, so you need to multiply

3/5*1/4= 3/20

3/20 or .15

Answer:

B. The rate of change of item II is greater than the rate of change of them I

Answer:

Step-by-step explanation:

Given the surdic equation as shown [tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} }\\[/tex]

To find the quotient, we will rationalize by multipying both numerator and denominator of the function by the conjugate of the denominator.

Given the denominator [tex]\sqrt{5}+\sqrt{3}[/tex], its conjugate will be [tex]\sqrt{5}-\sqrt{3}[/tex]

Multiplying through by [tex]\sqrt{5}-\sqrt{3}[/tex], we have;

[tex]= \frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} } * \frac{\sqrt{5}-\sqrt{3} }{\sqrt{5}-\sqrt{3} }\\[/tex]

[tex]= \frac{\sqrt{30}- \sqrt{18}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- \sqrt{9*2}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- 3\sqrt{2}+\sqrt{55}-\sqrt{33}}{2}[/tex]

The final expression gives the requires answer

Answer: B. square root 30- 3 root 2 plus square root 55- square root 33/ 2

Step-by-step explanation:

its right

Answer:

x=50

Step-by-step explanation:

Simplifying

x = 50

Answer:

When working in trigonometry, you typically measure angles in.....

RADIANS

Answer:

RADIANS!!!

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The area of a parallelogram is b * h, where b and h are the base and height respectively. We know the base but not the height. However, we see a right triangle that has the height and 3 as legs and 5 as the hypotenuse. Pythagorean Triples tell us that the height is 4 and the area will be 4 * 4 = 16 sq. units. Hope this helps!

Answer: 16

How you answered that: I just heard people don't know this answer. So, i hope this helps!

Answer:

4.5

Step-by-step explanation:

you do PEMDAS

you divide 1 by 4

then multiply it by 6

then 6 minus 1.5 is 4.5

i may be wrong

Answer:

Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘ ???

Step-by-step explanation:

Answer:

It’s 157.5

Step-by-step explanation:

Answer: The length of its radius is 2.5 inch.

Step-by-step explanation:

The radius is half the diameter so just divide the diameter by 2.

5/2= 2.5  

Answer:

BC

Step-by-step explanation:

because it is what it is

Look at the attached picture

hope it will help you

good luck on your assignment...

Answer:

[tex]x = 15 \: \: degrees \\ x = 18 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

{2, 3, 5, 6, 8, 9

Step-by-step explanation:

you said you will give use 20 points but it is marked as 5 Points.

Answer:

x= number of girls

y= total

Step-by-step explanation:

y= 1x

y= 1(5)

y= 5 marshmallows

Answer:

42^2 is your answer.

Step by step:

add the numbers together and cube it= that will equal your answer

Answer:

3 right and 5 down

Step-by-step explanation:

Answer: (5, 12, 13).

Step-by-step explanation:

Pythagorean triples are any three side lengths of a right triangle that are all whole numbers.

The most common triples are (3, 4, 5), (5, 12, 13), and (9, 40, 41).

You can test the options given in the Pythagorean theorem to see if they make the theorem correct.

25 + 64 = 100 is not correct.

9 + 16 = 36 is not correct.

25 + 144 = 169 is correct.

1 + 1 = 4 is not correct.

The correct choice is (5, 12, 13).

Answer:

[tex](5 \:, \: \: 12 \: , \: \: \: 13)[/tex]

Third answer is correct

Step-by-step explanation:

PYTHAGORAS theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Let's take one by one.

1)(5,8,10)

[tex] {5}^{2} + {8}^{2} = {10}^{2} \\ 25 + 64 = 100 \\ 89 = 100[/tex]

No,it's not correct.

2)(3,4,6)

[tex] {3}^{2} + {4}^{2} = {6}^{2} \\ 9 + 16 = 36 \\ 25 = 36 [/tex]

No, it's not correct.

3)(5,12,13)

[tex] {5}^{2} + {12}^{2} = {13}^{2} \\ 25 + 144 = 169 \\ 169 = 169[/tex]

Yes,it's correct

4)(1,1,2)

[tex] {1}^{2} + {1}^{2} = {2}^{2} \\ 1 + 1 = 4 \\ 2 = 4 [/tex]

No, it's not correct

SO, IT'S CLEAR THAT THE CORRECT ANSWER IS THE THIRD ANSWER

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1,875 cm³

Step-by-step explanation:

first find the volume of the large rectangular prism, which is 2,000 cm³

Then find the volume of the small rectangle, which is 125 cm³

now subtract 125 from 2,000

which equals = 1,875

Answer:

Each given point will lie within the viewing window, [tex]Xmin=-12[/tex], [tex]Xmax=1[/tex], [tex]Xscl=1[/tex], [tex]Ymin=-8[/tex], [tex]Ymax=6[/tex], [tex]Yscl=1[/tex].

Step-by-step explanation:

The given points are (-11,5),(0,-4),(0,-7).

Here, the minimum values of x is -11 and maximum value of x is 0.

It means [tex]Xmin[/tex] must be less than -11 and [tex]Xmax[/tex] must be greater than 0.  

The minimum values of y is -7 and maximum value of y is 5.

It means [tex]Ymin[/tex] must be less than -7 and [tex]Ymax[/tex] must be greater than 5.  

Therefore, each given point will lie within the viewing window

[tex]Xmin=-12[/tex]

[tex]Xmax=1[/tex]

[tex]Xscl=1[/tex]

[tex]Ymin=-8[/tex]

[tex]Ymax=6[/tex]

[tex]Yscl=1[/tex]

Note: For this question many answers are possible.

Answer:

$14.40

Step-by-step explanation:

a. (18) (80%) = (18) (.80) = $14.40 is discount

b. (x)(.80)= discount price

c. 18/80% =$22.50 is regular price

Answer:

$14.40

Step-by-step explanation:

a. (18) (80%) = (18) (.80) = $14.40 is discount

b. (x)(.80)= discount price

c. 18/80% =$22.50 is regular price

Answer:

$7.20

Step-by-step explanation:

The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!

Unit price is the price when something is $1, so what you need to do is 9/1.25. The answer is $7.20, so that is the unit rate. I hope this helps.

Answer:

The zeros are {2, 3}

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  

F(x) = x^3 - 5x^2 - 6x

Factoring out x, we get:

F(x) = x(x^2 - 5x - 6)

Factoing the quadratic, we get:

F(x) = x(x - 3)(x - 2) = 0

The zeros are {2, 3}

Answer:

360 = x+123+ 90

x = 147

Step-by-step explanation:

The three angles form a circle which is 360 degrees

360 = x+123+ 90

Subtract 123 and 90 from each side

360 -123 - 90 = x

147 = x

Answer:

4.778 to the nearest hundredth is 4.78

Step-by-step explanation:

Answer: 4.78

Step-by-step explanation: Find the number in the hundredth place, 7 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Please mark me brainliest :)

Answer:

800 [tex]in^{2}[/tex]

Step-by-step explanation:

Volume = lwh

Answer:

800 in^{2}

Step-by-step explanation:

Answer:

What kind of answer are you looking for? The Median, the average?

Step-by-step explanation:

Answer:

70.11111111

Step-by-step explanation:

88+65+60+42+55+58+88+90+95=631

631/9=70.11111111