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3 years ago

which expression can be used to find the temperature, in degrees F, at noon that day in Helena, Montana?

Mathematics

1 answer:

garri49 [273]3 years ago

7 0

Answer:

As it is given in the question that 12° F is below zero is it is taken as minus and 25 °F is risen so it is taken as positive

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Simplify the expression 3(5x+8)

viva [34]

Answer:

Solution given:

3(5x+8)

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15x+8*3

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Solve for x. round to the nearest hundredth if necessary.

iris [78.8K]

Answer: $x=11.47$

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Then, knowing that:

$\alpha=55\°\\adjacent=x\\hypotenuse=20$

You need to substitute these values into $cos\alpha=\frac{adjacent}{hypotenuse}$ :

$cos(55\°)=\frac{x}{20}$

Now, you can solve for "x":

$20*cos(55\°)=x\\x=11.471$

Rounded to the nearest hundreth:

$x=11.47$

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3 years ago

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The sum of the measures of angle Y and angle Z is 180 degrees. Angle Y measures (3x + 20) degrees and Angle Z measures x degrees

Minchanka [31]

A)
The question tells us that
y + z = 180
And
y=3x+20
z=x

So we put them in the first formula:

y + z = 180
(3x + 20) + x = 180

Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40

B)
Put x back in to equation to get size of each angle:

Y =3x +20
Y=3(40)+20
Y=120+20
Y=140

Z=x
Z=40

Verify: y+z=180
140+40=180
180=180

8 0

3 years ago