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3 years ago

Please help me! and explanation on how you got it please

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

Step-by-step explanation:

This is a right angled triangles and the summation of the other two angles must equal 90°

OR you can also say that the summation of all the angles in a ∆ must give us 180°

Therefore (2x+14) + (4x-26) = 90°

Expanding... By collecting all like terms, we have

2x+4x+14-26-90 = 0

6x - 102° = 0

Therefore, 6x = 102

x = 102/6

x = 17°

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78 is what percent of 110

irinina [24]

Answer: 70.909090909091%

Step-by-step explanation: Reading through the problem we have 78 is, that's 78 equals, what percent, x/100, of 110, times 110.

It's important to understand that percent means over 100 so what percent would simply mean x/100 or any variable but I will be using x.

So we have the equation $78 = \frac{x}{100} *110$

So cross canceling the 110 and 100 to 11 and 10, we have $78 = \frac{11x}{10}$

Multiply both sides by 10 to get rid

of the fraction and we have 780 = 11x.

Now divide both sides by 11 and 70.909090909091 = x.

So, 78 is 70.909090909091% of 110.

Work is attached in the image provided.

8 0

3 years ago

Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and initial fee of $10 plus a constant fee for e

ExtremeBDS [4]

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r

F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t

8 0

3 years ago

Which expression is the same as 10÷4? 110 of 4 4÷10 110×14 14 of 10

erica [24]

Answer:

1/4 of 10

Step-by-step explanation:

7 0

2 years ago

A family paid $142.80 which included $6.80 in taxes for 4 play tickets each ticket costs the same amount how much did each perso

borishaifa [10]

$142.80-$6.80=$136 divided by 4 equals $34

8 0

3 years ago

A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 34 teachers, and 4 staff. What is th

pav-90 [236]

Answer:0.000810

Step-by-step explanation:

Given

A committee of 3 members is formed using

5 Admin, 34 teachers, and 4 staff

Favorable outcomes are selecting 3 members as Administrators

total members =5+34+4=43

Probability is given by

$\Rightarrow P=\dfrac{\text{Favorable}}{\text{Total}}$

$\Rightarrow P=\dfrac{^5C_3}{^{43}C_3}=\dfrac{10}{43\times 41\times 7}\\\\\Rightarrow P=\dfrac{10}{12,341}=0.000810$

6 0

3 years ago