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2 years ago

Find a. Round your answer to the nearest hundredth

Mathematics

2 answers:

padilas [110]2 years ago

5 0

a=9units

Answer:

solution given:

c=40° exterior corresponding angle

In right angled triangle

<c°+B°+90°=180° [Sum of interior angle of a triangle is 180°

B°=180°-40°-90°=50°

Relationship between base and hypotenuse is given by cos angle

Cos c°=base/hypotenuse

Cos40°=a/12

a=Cos40°×12=9.19or 9 units

il63 [147K]2 years ago

3 0

Angle C is 40degree
Then Angle B is supposed to be 180-90-40 which will be 50 degree

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What is 8/3 plus 3/7

miskamm [114]

I believe that would equal 65/21

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3 0

3 years ago

Read 2 more answers

What is the sum of the geometric sequence-1,6,36 if there are 6 terms

Reptile [31]

Answer:

The sum is $9,331$

Step-by-step explanation:

we have

$1,6,36,...$

we have

$a1=1$

$a2=6$

$a3=36$

Find the common ratio r

$a2/a1=6/1=6$

$a3/a2=36/6=6$

The common ratio is r=6

The formula to calculate the sum in a geometric sequence is equal to

$S=a1\frac{(1-r^{n})}{(1-r)}$

where

n is the number of terms

r is the common ratio

a1 is the first term

we have

$n=6$

$a1=1$

$r=6$

substitute

$S=(1)\frac{(1-(6)^{6})}{(1-6)}$

$S=\frac{(1-(6)^{6})}{(-5)}$

$S=9,331$

5 0

2 years ago

Xcel energy uses the equation c (x) =7.1+23logx to determine the cost of electricity for x hours. A. What would the function c^-

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Note that the cost function is $c(x) = 7.1+23\ln(x)$ , which gives us the cost of electricity for x hours of consumption

a). The function $c^{-1}(x)[tex] which is the inverse function, tells us given a cost, the amount of hours we can consume electricty. b) Consider the equation [tex]y=7.1+23\ln(x)$

To find out the inverse function, we interchange the labels of x and y and solve for y, that is

$x = 7.1+23\ln(y)$

when solved for y we have

$e^{\frac{x-7.1}{23}}= y$

So the inverse function is given by $c^{-1}(x) = e^{\frac{x-7.1}{23}}$ .

c) We will use the inverse function to find the amount of hours the customer can use eelectricity. It is simple obtained by evaluating the inverse function at the desired cost (i.e $c^{-1}(15)$ )