Suppose you have a job teaching swimming lessons and get paid $6 an hour.
You also have a job as a cashier and get paid $8 an hour. If you cannot work
more than 15 hours a week, what are the number of hours you can work at
each job and still make at least $100?

Answer: Triangle 1 = 30 m2

Triangle 2 = 15 cm2

Step-by-step explanation:

Triangle area formula = 1/2 x base x height

Area1 = 1/2 x 10 x 6

= 30

Area2 = 1/2 x 6 x 5

= 15

Answer:

The area of the triangle is 15 cm and rectangle is 30 or 60

Step-by-step explanation:

Answer:

32.4 liters

Step-by-step explanation:

Given that

There is 60 litres of fuel in the tank

After a long journey, 22% would fuel is left

The driver put another 30 liters and use 25% of the fuel

We need to find out how much fuel is now in the tank

Since 22% fuel is left i.e.

= 60 liters × 0.22

= 13.2 liters

He put another 30 liters

SO, now the total fuel available is

= 13.2 + 30

= 43.2 liters

It used 25% of the fuel that means 75% would remain left

So,

= 43.2 liters × 0.75

= 32.4 liters

Answer:

7/8

Step-by-step explanation:

3.5833 is the answer to this question.

Answer:

8.3 units

Step-by-step explanation:

Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.

The hypotenuse of the red triangle

[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]

[tex] = \sqrt{65} [/tex]

The hypotenuse of the red triangle is the common side of the yellow triangle's base.

d is equal to the hypotenuse of the yellow triangle.

The length of d

[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]

[tex] = \sqrt{65 + 4} [/tex]

[tex] = \sqrt{69} [/tex]

[tex] = 8.30662...[/tex]

= 8.3 units

Answer:

8.3 units

Step-by-step explanation:

Answer:

28.51 cubic units

Step-by-step explanation:

From the given information;

The surface area is 56 and not 5656

Let assume that:

the length of the base = a &

the height of the box = h

∴

The volume of the box = a²h &

The surface area (A) = 2a² + 4ah

A = 2a² + 4ah

56 = 2a² + 4ah

56 - 2a²  = 4ah

[tex]h = \dfrac{56-2a^2}{4a}[/tex]

The volume (V) = a²h

[tex]V = a^ 2( \dfrac{56-2a^2}{4a}) \\ \\ V = \dfrac{56a -2a^3}{4} \\ \\ V = \dfrac{2a(28- a^2)}{4} \\ \\ V = \dfrac{(28-a^2)a}{2}[/tex]

Taking the maximum of this function by assuming v = [0, [tex]\sqrt{8}[/tex]]

[tex]V = \dfrac{a(28-a^2)}{2}[/tex]

[tex]V(0) = \dfrac{0(28-0^2)}{2}=0[/tex]

[tex]V(\sqrt{8}) = \dfrac{\sqrt{8}(28-(\sqrt{8})^2)}{2} \\ \\ \implies \sqrt{8} \dfrac{(28-8)} {2} \\ \\ = 10 \sqrt{8}[/tex]

For the critical point V' = 0

[tex]V = \dfrac{a(28-a^2)}{2} \\ \\ V = \dfrac{28a}{2}- \dfrac{a^3}{a} \\ \\ V = 14 a - \dfrac{a^3}{2} \\ \\ V' = 14 - \dfrac{3a^2}{2} \\ \\ 0 = 14 - \dfrac{3a^2}{2} \\ \\ 14 =\dfrac{3a^2}{2}\\ \\ a^2 = 14 \times \dfrac{2}{3} \\ \\ a^2 = \dfrac{28}{3} \\ \\ a = \sqrt{\dfrac{28}{3}} \\ \\ a = \sqrt{9.333} \\ \\ a = 3.055[/tex]

Thus, side of the base (a) = 3.055 units

Recall that:

height  [tex]h = \dfrac{56-2a^2}{4a}[/tex]

[tex]h = \dfrac{56-2(3.055)^2}{4(3.055)}[/tex]

h = 3.0551 units

The maximum volume now = a²h

= (3.055)²(3.0551)

= (9.333)(3.0551)

= 28.51 cubic units

Answer:

x ( side of the square base) = 43,42  ul

h = ( the height f the box ) = 0,17 ul

Step-by-step explanation:

V = Ab * h    where   Ab  is an area of the base and h is the height of the box

as is this case s a square base box then  Ab = x²    ( s the side of the square.

The surface area is ( box without lid): area of the base   x²  plus 4 lateral areas each one equal to  x*h

So   x² +  4 x*h = 5656   u²

Then    4*x*h  = 5656 - x²

h  =  5656 - x² )/ 4*x

V(x) = x² ( 5656  -  x²  )/ 4*x

V(x) = x ( 5656  - x² ) / 4

Tacking derivatives on both sides of the equation :

V´(x) = (1/4 ) * [ (5656 - x² ) - x *2*x]

V´(x) = (1/4 ) * ( 5656 - 3*x² )

v¨(x) = 0        (1/4 ) * ( 5656 - 3*x² ) = 0    3*x² = 5656

x² = 1885,33

x  = √ 1885,33

x  =  43,42  ul

And h  = 5656 - x² )/ 4*x

h  =  [( 5656 - (43,42)²] /4 * 5656

h  = 3770,70 / 22624

h  =  0,17 ul

Answer:

36 cm

Step-by-step explanation:

Answer:

1. 21 +35

2.5

Step-by-step explanation:

Answer:

1.) 21 + 35

2.) 5

Step by step explanation:

Answer:

1 radian = 57.2958 degrees i dont know if thats

what you wanted to know?

Answer: 5

Step-by-step explanation:

To find 20% of something, we can just multiply it by 0.2

25 × 0.2 = 5

Have a good day :)

The probability of the player getting a hit is 0.214.

Step-by-step explanation:

Since we have given that Probability that a baseball player gets a hit if the weather is good 20d=40\%=0.4 Probability that a baseball player gets a hit if the weather is not t good=20\%=0.2 Probability of good weather =7\%=0.07 Probability of not 93\%=0.93 good weather =100-7= According to question, the probability of the player getting hit is given by 0.4 * 0.07 + 0.2 * 0.93; =0.214

Answer:

1= 145°

Step-by-step explanation:

80° + 65°= 145

180 - 145 = 35

180- 35 = 145

Answer:

The answer is 145°

Answer:

Choice D.

Step-by-step explanation:

In interval notation the domain is (-∞, -2) U (-2, 1) U (1, ∞)

Answer:

Zero, Never

Step-by-step explanation:

2 doesn’t equal 3 so it will never be true.

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

3x15 =45

The variable determines what needs to be multipleed.

Answer:

x = 15

Step-by-step explanation:

90 - 45 = 45

45/3 = 15

x = 15

Have a nice day!

Answer:

3 and 10

Explanation:

5 * 3 is 15 and 5 + 10 is 15.

Answer:

The mean is 21.

The median is 21

There is no mode here.

Step-by-step explanation:

Answer: 5329, 3025, 2304

Step-by-step explanation:

I just did the test

Pythagorean triple generated is 5329

What is Pythagorean triple?

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime

We have,

([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]

Using Points,

x =8, y=3

According to the questions

Taking square in both sides

[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]

when, x = 8, and  y = 3

[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex]  + [tex](2.8.3)^{2}[/tex]

               = 3025 + 2304

               = 5329

Hence ,Pythagorean triple is 5329

To learn more about Pythagorean triple from here

https://brainly.in/question/21789673

#SPJ2

Answer:

1408

Step-by-step explanation:

Answer:

1,408 cm³.

Step-by-step explanation:

To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.

[tex]4*8*44=1,408 in^3.[/tex]

Therefore, the volume of the rectangular box is 1,408 cm³.

Let's check

1in=2.54cm

9.5cm in inches

Step-by-step explanation:

So

9.5cm

Answer:

no sé pero lo nesesito porfavor

Answer:

Its B. 4/5

Step-by-step explanation:

on edge 2020 :)

Answer:

Step-by-step explanation:

An appropriate inequality would be w ≤ 1.6 tons

Answer:

$35,640

Step-by-step explanation:

$55×6p×12d×9h=$35,640

Answer:

6

Step-by-step explanation:

All the steps are in the photo I attached

your answer is 0.00011596

Answer:

48000dL

Step-by-step explanation:

hope it helped!~

have a nice day

Answer:

The answer is 48,000 DL

Answer:

b

Step-by-step explanation:

[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]