1.(1 pt)

Which pair is a base and corresponding height for the triangle?

A.

b = 16 units and h = 9.6 units

B.

b = 20 units and h = 16 units

C.

b = 20 units and h = 9.6 units

D.

b = 20 units and h = 12 units

2.

(1 pt)

What is the area of the triangle?

A.

208 in2

B.

192 in2

C.

104 in2

D.

96 in2

3.

(1 pt)
What is the area of the triangle?

A.

42.14 cm²

B.

35.28 cm²

C.

21.07 cm²

D.

17.64 cm²

4.

(1 pt)

The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles.

What is the area of the animal park?

A.

3.91 mi²

B.

5.7 mi²

C.

7.82 mi²

D.

11.4 mi²

5.

(1 pt)

What is the area of a triangle with a base of 4.6 cm and a height of 7.8 cm?

A.

12.4 cm²

B.

17.94 cm²

C.

24.8 cm²

D.

35.88 cm²

Answers

Answer 1

Answer: 1. C base is 20 height is 9.6
2. D 96; A = b*h*1/2
3. i can't view the pic for 3, sorry
4. C, 7.82
5. B, 17.94

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Which of the following is equivalent to √20

A. 4
B. 5√2
C. 2√5
D. 20

Answers

Answer is 4 because it can be multiplied by 5

Kim and Courtney share a 16-ounce of box of cereal. By the end of the week, Kim has eaten 3/8 of the box, and Courtney has eaten 1/4 of the box of cereal. What fraction of the box is left?

Answers

³/₈

Further explanation

We will solve the problem of subtraction between fractions.

Given:

Kim and Courtney share a 16-ounce of the box of cereal.

By the end of the week:

Kim has eaten ³/₈ of the box, and
Courtney has eaten ¹/₄ of the box of cereal.

Question:

What fraction of the box is left?

The Process:

Kim has eaten ³/₈ of the box of cereal. Let's calculate how many fractions of the box are left after Kim has eaten them.

$\boxed{ \ 1 - (3)/(8) = \ ? \ }$

$\boxed{ \ (8)/(8) - (3)/(8) = (5)/(8) \ }$

Hence, the rest of the box after Kim has eaten ³/₈ of the box is

$\boxed{\boxed{ \ (5)/(8) \ }}$

Furthermore, Courtney has eaten ¹/₄ of the box of cereal. Let's calculate how many fractions of the box are left again after Courtney ate the remaining part since Kim had eaten it before.

$\boxed{ \ (5)/(8) - (1)/(4) = \ ? \ }$

Before we subtract, the denominator must be equated. Prepare ¹/₄ to be ²/₈. The numerator and denominator are multiplied by two.

$\boxed{ \ (5)/(8) - (2)/(8) = (3)/(8) \ }$

Thus, the fraction of the box left after Kim and Courtney have eaten is $\boxed{\boxed{ \ (3)/(8) \ }}.$ $\boxed{ \ The \ Answer \ }$

- - - - - - - - - -

Quick Steps:

$\boxed{ \ 1 - (3)/(8) - (1)/(4) = \ ? \ }$

$\boxed{ \ (8)/(8) - (3)/(8) - (2)/(8) = \boxed{ \ (3)/(8) \ } \ }$

The summary scheme is as follows:

Initial conditions

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} \rightarrow \boxed{ \ one \ part = (8)/(8) \ }$

Kim has eaten ³/₈ of the box: $\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ $\rightarrow \boxed{ \ (3)/(8) \ }$

Courtney has eaten ¹/₄ (or ²/₈) of the box: $\boxed{\cdot}\boxed{\cdot}$ $\rightarrow \boxed{ \ (2)/(8) \ }$

Final conditions

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ is subtracted by $\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ and is subtracted by $\boxed{\cdot}\boxed{\cdot}$ equal $\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ as the remaining part $\rightarrow \boxed{\boxed{ \ (3)/(8) \ }}$

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²/₇m - ¹/₇ = ³/₁₄ solve step by step brainly.com/question/4853649
What is the amount of apple juice in each bottle? brainly.com/question/5798698

Keywords: Kim and Courtney, share, a 16-ounce of the box of cereal, ³/₈ of the box, ¹/₄, what fraction of the box is left, ³/₈, subtraction, the denominator, the numerator

No. of ounces Kim ate = 3/8 * 16 = 6 ounces
No. of ounces Courtney ate = 1/4 * 16 = 4 ounces
No. of ounces left = Total amt. of cereals - Kim's share - Courtney's share
= 16 - 6 - 4 =6 ounces
Fraction of left over cereal = 6/16 = 3/8

Find the polynomial function with the following roots: -2 of multiplicity 2; and 3.SHOW WORK (DBA questions of module 4)

Answers

Answer:

f(x) = x³ + x² - 8x - 12

Step-by-step explanation:

given roots x = -2 of multiplicity 2 and x = 3, then

(x + 2)² and (x - 3) are factors and the polynomial is the product of the factors

f(x) = a(x + 2)²(x - 3) ← where a is a multiplier

f(x) = (x² + 4x + 4)(x - 3) ← with a = 1

= x³ + x² - 8x - 12

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20? = –3 = –4 = 3 = 4

Answers

The equation that represents the average of the x-intercept is 3.

Option C is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

f(x) = 4x² - 24x + 20

x-intercept is f(x) = 0.

Now,

4x² - 24x + 20 = 0

4(x² - 6x + 5) = 0

x² - 6x + 5 = 0

x² - (5 + 1)x + 5 = 0

x² - 5x - x + 5 = 0

x(x - 5) - 1(x - 5) = 0

(x - 1)(x - 5) = 0

x = 1 and x = 5

The average of x-intercept.

= (1 + 5)/2

= 6/2

= 3

Thus,

The average of the x-intercept equation is 3.

Learn more about equations here:

brainly.com/question/17194269

#SPJ3

Answer:

To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,

4x2 – 24x + 20 = 0

The resulting equation is a quadratic equation which can be solved by different methods. The solution is

x = 5, 1

The average therefore is:

(1+5/)2 = 3

what do i do if there is no starting point....im supposed to graph...do i start at o (0,0)?? plx help

Answers

You start at (0,0) for the top one, while you start at -4 for the bottom one.

How does the volume of a prism change if each dimension of the prism is doubled?

Answers

The prism has 3 dimensions. So, if you double the linear sizes ("dimensions") the volume is multiplied by $2^3=8$ .

Correct!

V = A*h;
A ---> (2*2)A;
h ---> 2h;

V ---> (2*2*2)V = 8V.