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nirvana33 [79]
3 years ago
5

paolo earns $4 for each hour he tutors. he made $28 last week. write an equation using h to represent the hours he tutored. then

solve the equation.
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0
If h stands for hours then we need to find out how many hours he tutored.To get $28 we would need to multiply 7 x 4 which would mean that he tutored for 7 hours. The equation would be 7 x 4 = $28
Hope This Helps!
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Alika [10]
What's a midpoint I never learned what a midpoint is and this is not an answer
8 0
4 years ago
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What is the area of the logo?​
Ludmilka [50]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

4 0
3 years ago
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What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?
mr_godi [17]
There is 2 ways to solve this type of question.

Method 1
--------------------------------------------------
Formula
--------------------------------------------------
a² + b² = c²

--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

_____________________________________________________________

Method 2
--------------------------------------------------
Identify the triangle
--------------------------------------------------
This is a special triangle
45° - 45° - 90°

--------------------------------------------------
Property of the Angles 
--------------------------------------------------
x - x - x√2

--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2

Hypotenuse =  (7√2)(√2)
Hypotenuse =  7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm 
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6 0
3 years ago
What is the sum of the geometric sequence-1 6 -36 yes there are 7 terms
vagabundo [1.1K]

Answer:

-39991'

Step-by-step explanation:

We require the sum of 7 terms of the G.S.  -1, 6, -36  .....

The common ratio r = 6/-1 = -6 and the first term = -1.

Sum of n terms = a1 . (r^n  - 1) / (r - 1)

Sum of 7 terms = -1 * (-6)^7 - 1)  / (-6 - 1)

=  -1 * 39991

= -39991 (answer).

7 0
3 years ago
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Sedbober [7]
6 - (-6)
This is because two negatives make a positive, so you’ll be adding 6+6 which equals to 12 not 0
3 0
3 years ago
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