5x+25=2x+29 what’s the measures

The measure of angle A is 15°, and the length of side

dangina [55]

Answer:

Part 1) $AB=30.9\ units$

Part 2) $AC=29.9\ units$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(15^o)=\frac{8}{AB}$

solve for AB

$AB=\frac{8}{sin(15^o)}=30.9\ units$

Part 2

Find the length side AC

we know that

$tan(A)=\frac{BC}{AC}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(15^o)=\frac{8}{AC}$

solve for AC

$AC=\frac{8}{tan(15^o)}=29.9\ units$

8 0

3 years ago

For the function: g(x)= 3 - 8 (1/4)^2-x

Alla [95]

Answer:

bye

Step-by-step explanation:

7 0

3 years ago

Which represents a quadratic function ?

mars1129 [50]

Answer:

$\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}$

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form $f = ax^2 + bx + c$ , where $a\neq 0$

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of $x^2$ is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

8 0

3 years ago

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The personnel director at a large company studied the eating habits of the company's employees. The director noted whether emplo

nadezda [96]

Answer:A designed experiment

Step-by-step explanation:Design experiment is a type of statistics in which company's used to investigate the quality of product

It involves running of numerous tests concurrently to make changes to the input variables and observe the responses at the same time.

5 0

3 years ago

A scrapbooking store is selling rubber stamps for four dollarsand $4.95 each. The total sales F(n) is a function of the number o

just olya [345]

A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.

B. Only whole numbers. It is impossible to have negative and/or fractional stamps.

C. F(n) = $4.95n, which is 4.95 times n.

So, plugin 5 for n

$f(5)= \$4.95(5)$

F(n) = $24.75

6 0

2 years ago

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