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3 years ago

Find the product. 7. $458.29 × 6.3% 8. $280.12 × 7.75%

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

Answer:

7. 28.8722

8. 21.7093

Step-by-step explanation:

458.29 x .063=28.8722

21.7093 x .0775= 21.7093

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6 ft. 12 ft. 8 ft. The area of this irregular figure is -sq. ft. 16 ft.

nikdorinn [45]

Answer:

When we know all 3 sides, we use Heron's Formula

area = sqrt [s *(s-a) * (s-b) * (s-c)]

where "s" is the semi-perimeter which in this case equals

s = (6 + 8 + 12) / 2 = 13

area = sqrt [13 * 5 * 7 * 1]

area = sqrt 455

area = 21.3307290077

area = 21.33 square feet (rounded)

Step-by-step explanation:

3 0

3 years ago

Sample Response: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of v

Leokris [45]

Answer:

The response that are true are:

linear function has a constant additive rate of change, while a nonlinear function does not.

Since in linear function the rate of change is always equal as for a linear function we get a equation of line such that the slope is same.

On a graph, the function must be a straight line to be linear.

Liner means there is a straight line of the function.

( Also it need not be true that the independent variable increases by 1.

There may be change of some other quantity in independent variable )

5 0

3 years ago

Read 2 more answers

Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A

alekssr [168]

Answer:

$\theta_{CAB}=128.316$

$\theta_{ABC}=25.842$

$\theta_{BCA}=25.842$

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

$r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

$BC= \sqrt{(1-1)^2+(3-(-3))^2}=9$

$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

$BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}$

$\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}$

$\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}$

$\theta_{CAB}=\arccos{-\dfrac{0.62}}$

$\theta_{CAB}=128.316$

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

$\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}$

$\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)$

$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

$\theta_{ABC}=\arcsin{0.4359}\right)$

$\theta_{ABC}=25.842$

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

$\theta_{BCA}=25.842$

this can also be checked using the fact the sum of all angles inside a triangle is 180

$\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180$

$25.842+128.316+25.842$

$180$

6 0

3 years ago

Read 2 more answers

What is the sum of x2-3x+7 and 3x2+5x-9

Ghella [55]

(x² - 3x + 7) + (3x² + 5x - 9)
(x² + 3x²) + (-3x + 5x) + (7 - 9)
4x² + 2x - 2

5 0

3 years ago

HELP ME QUICK PLEASEE!!

Lena [83]

Answer:

A) is a function

B) f(x) is greater

C) x = 12

Step-by-step explanation:

A) Yes, the relation is a function.

A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.

B) The table says y=6 for x=6.

f(6) = 2(6)+16 = 28

f(x) has a greater value for x=6.

C) Substituting the given information, we have ...

40 = 2x +16

24 = 2x

12 = x

The value of x is 12 when f(x) is 40.

3 0

3 years ago