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2 years ago

7. What is the angle measure that is vertical to an 83° angle?

Mathematics

1 answer:

HACTEHA [7]2 years ago

3 0

Vertical angles are the same so it would be 83 degrees

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Match each expression to its equivalent standard form.

Aleksandr [31]

Let's expand the products they are all in the form

$(a+b)(a-b)=a^2-b^2$

For the first one we have a=x and b=2i:

$(x+2i)(x-2i)=x^2-(2i)^2=x^2+4$

For the second one we have a=x-2 and b=2i:

$(x-2+2i)(x-2-2i)=(x-2)^2-(2i)^2 = x^2-4x+4+4=x^2-4x+8$

For the third one we have a=x+1 and b=i:

$(x+1+i)(x+1-i)=(x+1)^2-i^2=x^2+2x+1+1=x^2+2x+2$

3 0

3 years ago

Someone Please Help!!! <br> Find the radian measure of an angle of -280 degrees

SCORPION-xisa [38]

<span>Answer: -4.88691778Solution:1.Write down the number of degrees you want to convert to radians Given Degree = -280° The formula to convert degrees to radian measure is:Radian = degree x π/180 2. Multiply the number of degrees by π/180. Think of it like multiplying two fractions: the first fraction has the number of degrees in the numerator and "1" in the denominator, and the second fraction has π in the numerator and 180 in the denominator. -280 x π/180 = -280π/1803. Find the largest number that can evenly divide into the numerator and denominator of each fraction and use it to simplify each fraction. The largest number for 280 is 20.-280 x π/180 = -280π/180 ÷ 20/20 = -14π /9 4. Then multiply the numerator by 3.14159 because pi or π is equivalent to 3.14159, -14x 3.14159= -43.982265. To get the radian measure, we will divide -43.98226 by 9. -43.98226/9= -4.88691778
</span>

5 0

2 years ago

Read 2 more answers

Plssss helppp meeeee

saw5 [17]

Answer:

the answer should be 152.6 ! just moving the decimal over to the left!!

8 0

1 year ago

A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo

Gekata [30.6K]

1. A model of a famous statue is $2\dfrac{1}{2}$ inches tall that is

$\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2}$ in.

2. The actual statue is $3\dfrac{1}{3}$ feet tall that is

$\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.$

3. The ratio of the height of the model to the height of the actual statue in simplest form is

$\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.$

Answer: $\dfrac{1}{16}.$

4 0

2 years ago

A(x) = -0.015x^3+1.05xA ( x ) = − 0.015 x 3 + 1.05 x gives the alcohol level in an average person's blood x hrs after drinking 8

goldfiish [28.3K]

Answer:

Yes

Step-by-step explanation:

the function that gives the alcohol level is:

$A ( x ) = - 0.015 x^3 + 1.05 x$

where x is the number of hours.

we need to know if after 4 hours an average person is legally drunk, thus:

$x=4$

and we substitute this in the function:

$A ( 4 ) = - 0.015 (4)^ 3 + 1.05(4)$

solving these operations we obtain:

$A(4)=-0.015(64)+4.2\\A(4)=-0.96+4.2$

$A(4)=3.24$

the alcohol level after 4 hours is 3.24.

Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.

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2 years ago