2 questions! area of plane and composite figures

Answer:

he has to work 4 more hours.

Step-by-step explanation:

63-100=37

37÷9.25=4

Answer:

140.6 feet

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, the measure of ∠N=62°, and NO = 66 feet. Find the length of MN to the nearest tenth of a foot.

Step 1

We have to find Angle M

Sum of angles in a triangle = 180°

M + N + O = 180°

M = 180° - ( N + O)

M = 180° - ( 90° + 62°)

M = 28°

Step 2

We find the length of MN

We solve using Sine rule

MN/sin O = NO/sin M

MN/sin 90 = 66/sin 28

Cross Multiply

MN = sin 90 × 66/sin 28

MN = 140.58 feet

Approximately = 140.6 feet

Answer:

2:3

Step-by-step explanation:

48=8x6

48/2=24

24-8=16

16:24

16/2=8

24/3=8

2:3

Answer: 20.1

Step-by-step explanation: I if you are here from delta math this is the answer

Answer: 20.1

Step-by-step explanation:

sinU=  

hypotenuse

opposite

​  

=  

x

20

​  

\sin 85=\frac{20}{x}

sin85=  

x

20

​  

x\sin 85=20

xsin85=20

Cross multiply.

\frac{x\sin 85}{\sin 85}=\frac{20}{\sin 85}

sin85

xsin85

​  

=  

sin85

20

​  

Divide each side by sin 85.

x=\frac{20}{\sin 85}=20.0764\approx 20.1\text{ feet}

x=  

sin85

20

​  

=20.0764≈20.1 feet

Type into calculator and roundto the nearest tenth of a foot.

T

U

V

20

20.1

(opposite of ∠U)

(adj. to ∠U)

(hypotenuse)

85°

Answer:

1

Step-by-step explanation:

because when April stops exercise the calories burnt will reduce

Answer:

it's Time spent exercising.

Step-by-step explanation:

Time spent exercising does not rely on calories burned for its value to change. However, the time spent exercising will determine how many calories are burned. This shows that calories burned is dependent on time spent exercising while time spent exercising is an independent variable.

Answer:

=x+2

Step-by-step explanation:

Answer:

g(f(x)) = x² - 3x + 4

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(x² - 3x + 2)

= x² - 3x + 2 + 2

= x² - 3x + 4

Answer:

x^2 + 2x + 1

Step-by-step explanation:

(x + 1)(x + 1) = x^1 + x + x + 1 = x^2 + 2x + 1

Answer:

x² + 2x + 1

Step-by-step explanation:

(x+1)(x+1)

x² + 1x + 1x + 1

Complete Question:

The expression 16t² represents the distance in feet an object falls after t seconds. The object is dropped from a height of 906 feet. What is the height in feet of the object 2 seconds after it is dropped?

Answer:

H(2) = 842 feet

Step-by-step explanation:

Let the height be H.

Given the following data;

H(t) = 16t²

Height, H = 906 feet

Time, t = 2 seconds

To find the time, t at 2 seconds, we would use the following formula;

H(t) = H - 16t²

H(2) = 906 - 16(2)²

H(2) = 906 - 16*4

H(2) = 906 - 64

H(2) = 842 feet

Therefore, the height in feet of the object 2 seconds after it is dropped is 842.

Answer:

[tex]c(t) =-18t +212[/tex]

Step-by-step explanation:

Given

[tex](t_1,c_1) = (4,140)[/tex]

[tex](t_2,c_2) = (9,50)[/tex]

Required

Determine the equation

First, we calculate the slope (m)

[tex]m = \frac{c_2 - c_1}{t_2 - t_1}[/tex]

[tex]m = \frac{50 - 140}{9-4}[/tex]

[tex]m = \frac{-90}{5}[/tex]

[tex]m = -18[/tex]

The equation is then calculated as:

[tex]c =m(t - t_1) + c_1[/tex]

[tex]c =-18*(t - 4) + 140[/tex]

[tex]c =-18t +72 + 140[/tex]

[tex]c =-18t +212[/tex]

Hence, the function is:

[tex]c(t) =-18t +212[/tex]

Answer:

55+13x=120

.............

Answer:

You will need 7 vans and 4 buses

Step-by-step explanation:

7 vans would take care of 35

4 buses would take care of 140 kids

and it uses a total of 11 vehicles

Hope this helps  

Answer:

Vans = 7

Buses = 4

Step-by-step explanation:

x = vans

y = buses

x + y = 11                           (1)

5x + 35y = 175                 Divide this equation by 5

x + 7y = 35                       (2)  

============

                                        Subtract (1) from (2)

x + 7y = 35

x +  y =   11

     6y = 24                      Divide by 6

     6y/6 =24/6

       y = 4

===========

x + y = 11

x + 4 = 11

x = 11 - 4

x = 7

Now Let's check it

x is the number of vans which holds 5 students each

7 * 5 = 35

y is the number of buses which holds 35 students each

4 * 35 =140

Total number of students = 35 + 140 = 175

So it checks.

Answer:

true

Step-by-step explanation:

first and second one both make sense

Answer:

2/7

Step-by-step explanation:

The total number of possibilities is 7 * 6 * 5

The number of possibilities for all girls is 5 * 4 * 3

so the probability is:

[tex]\frac{5*4*3}{7*6*5} \\\frac{4*3}{7*6} \\\frac{12}{42} = \frac{2}{7}[/tex]

Answer:

y = 6x

Explaination:

slope intercept form is just y=mx+b, and since the slope is 6, you plug 6 into m, and then the y-intercept is 0, so you can drop it out of the equation

Answer:

14

Step-by-step explanation:

just find the radius using 2*22/7*r

Answer:

You may not recognize this...but the base forms a "Pythagorean"  right triangle  with legs  of  6 and 8  cm

The area of a right triangle is  (1/2)  ( product of leg lengths)

So...the area of the base   = (1/2) (6 * 8 ) = (1/2) 48  = 24 cm^2

And the volume of the prism is just the   base area  x  height =   24  x  7  =   192 cm^2

Step-by-step explanation:

Step-by-step explanation:

a. Belle as she only missed 50 questions where as Aurora missed 78. (500-450) and (650-572)

b. Belle scored 90% (450/500=0.9)

Answer:

a. Belle scored better, by scoring 2% more than Aurora.

b. She scored 90%

Step-by-step explanation:

Make your denominator out of a 100

So you will divide by 6,5

572÷6,5/650÷65

= 88/100

=88%

And divide the other by 5

450÷5/500÷5

=90/100

=90%

Answer:

x= 2

Step-by-step explanation:

Subtract 20 from both sides

2.5x + 20 − 20 = 25 − 20

2.5x= 5

Divide both sides by 2.5

2.5x/2.5= 5/2.5

x= 2

Answer:

0.4

Step-by-step explanation:

I did it on deltamath

Answer:

x=0.4144≈0.4 feet

Step-by-step explanation:

Deltamath

Answer:

#. x=12.75

Step-by-step explanation:

51/4

Answer:

10a-20b

Step-by-step explanation:

5a-25b+5a+5b

10a-20b

Answer:

480 I think!

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

68 is bigger than 48...

Answer:

te lenght was base of the ramp

Step-by-step explanation:

2x-5+5=15+5

2x= 20

X=10

Answer:

X=10

Step-by-step explanation:

2 x − 5 = 15

2 x = 20

x = 10

Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3