The body of a dump truck is raised to empty a load of dirt. How high is the 10 inch body from the frame when it is tipped upward at 45 degrees

Answers

Answer 1

Answer:

7.071inches

Step-by-step explanation:

The set up is a right angled triangle

Given 'angle of elevation = 45 degrees

The length of the frame = 10in (hypotenuse)

Required

Height of the truck h (opposite)

Using the SOH trig identity

sin theta = opposite/hyp

sin 45 = h/10

h = 10sin45

h = 10(0.7071)

h = 7.071 in

Hence the height of the truck is 7.071inches


Related Questions

Answer please I need this quick !!!!

Answers

Answer:

f(0)=2

Step-by-step explanation:

Since x = 0, the function should look like this, f(0) = 2 - 3(0) by plugging in the x.

The next step is simply to get the solution, which should be 2.

Can someone please help me

Answers

(X+-2)(y+-4)
(X)(y)+(x)(-4)+(-2)(y)+(-2)(-4)
Xy-4x-2y+8

Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?

A. 21
B. 77
C. 91
D. 115
E. 143

Hint : Use Wilson's Theorem[tex].[/tex]​

Answers

Answer:

C. 91

Step-by-step explanation:

Rewriting the given as factors:

12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)

As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n

As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:

7*13 = 91

So correct choice is C

If f(x) = 2x + 5x and g(x) = 3x - 5, find (f+ g)(x).
O A. 2X + 8x - 5
B. 2X + 2x + 5
C. 24 - 2x - 5
D. 10x - 5

Answers

Answer:

D. 10x - 5

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5x

g(x) = 3x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Simplify

f(x) = 7x

g(x) = 3x - 5

Step 3: Find

Substitute:                     (f + g)(x) = 7x + (3x - 5)Combine like terms:     (f + g)(x) = 10x - 5

The Hunters drove to visit some friends. The table below shows how long it 1 point
took the Hunters to drive certain distances. Which unit rate describes the
Hunters' speed? (6.RP.2c)
Miles
120
180
240
Hours
2.
3
4.
30 miles per 1/2 hour
O 55 miles per hour
0 60 miles per hour
O 120 miles per 2 hours

Answers

Answer:

Step-by-step explanation: 250 miles + 50 miles = 300 miles

300 miles / 5 hours = 60 miles per hour

What is the total amounted sap the tees produced that day

Answers

Answer:

5 gallons

Step-by-step explanation:

i have done this lesson before

Help ASAP please. I’ll give you brainliest

Answers

Answer:

x= -83.4

830÷50= 16.6

17 coaches would be needed

£5,850

Answer:

x=1660

the value of 830÷50 is 16.6

it will take 5850 to hire 13 coaches

Which pair of expressions is not equivalent? A 3(2a + 5) and 6a + 15 B. 4x – 7 + 5x + 5 and 9x + 12 0. C. 80 - 6) and 8j – 48 D. 9b + 4 + 3b - 9 and 12b - 5​

Answers

Answer:

The correct answer is B.) (4x - 7 + 5x + 5) and (9x + 12).

Find the missing value in the percent statement using a proportion.
______ is 75% of 4.

Answers

Answer: 3

Step-by-step explanation: Hope I helped

What should be done to sove the equation?
X-17=11
Add 17 to both sides.
Add17 to the left side and subtract 11 from the right side.
Add 17 to the left side and subtract 17 from the right side.
Add 11 to both sides.

Answers

add 17 to both sides-

So right how to do this so help me it hurts

Answers

Answer:

The answer is y=6x+2

Step-by-step explanation:

#7 There are 24.5 ounces of uncooked rice in a bulk container. A customer is removing rice from the container at a rate of 3.25 ounces per second. How many ounces of uncooked rice are in the container after 4 seconds? *

A. 11.5 ounces
B. 21.25 ounces
C. 27.75 ounces
D.37.5 ounces

Answers

Answer:

(A) 11.5 ounces

Step-by-step explanation:

Multiply 3.25 by 4

3.25 x 4 = 13

Subtract 13 from 24.5

24.5 - 13 = 11.5

= 11.5 ounces

Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store

Answers

Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Which of the following polynomials have degree 5?

Answers

Answer:

lll

Step-by-step explanation:

*dab

it feels good to know the answer

||| ayooo yessirrrr

Brothers and sisters, I am in need of assistance from someone FAR smarter than me

Answers

The answer is a because the inter center is the angle where all the angles meet in the middle

The snowy slopes ski resort kept track

Answers

What I don’t understand what do u mean
There is no context here.

What is measure p angles has 5 sides

Answers

Answer:

[tex]\huge\boxed{m\angle P = 94\textdegree}[/tex]

Step-by-step explanation:

In order to answer this question, we need to note a couple of things about the angle relationships in a pentagon.

A) The sum of the measures in a pentagon will be 540° (We know this because the angle sum formula tells us that an n sided polygon angles will have a sum of  [tex](n-2) \cdot 180[/tex] - 180 * 3 = 540).B) Equations can represent angle measures, added together will help us determine their value.

Since we know the sum of all of the angles will be 540, we can create an addition statement to find out the value of x.

[tex]132 + (4x-10) + (5x-11) + 128 + (4x+2)=540[/tex]

Let's solve for x.

Combine the angles we already know:[tex]132 + 128 =260[/tex] Combine like terms: [tex]260 + 13x - 19=540[/tex] Add 19 to both sides, subtract 260 from both sides: [tex]13x =299[/tex] Divide both sides by 13: [tex]x = 23[/tex]

Now that we know the value of x, we can substitute it into the expression for point P ([tex]4x+2[/tex]) to find it's value.

[tex]4 \cdot 23 + 2[/tex] [tex]92+ 2[/tex] [tex]94[/tex]

Therefore, the angle of measure P is 94°.

Hope this helped!

7 + 2 + 5 + 1 +5=?

hmmmmmmmmmmm​

Answers

Answer:

20.. ... ...... .. ........

X= What does ×= 88, 89 or 90

Answers

The answer should be 88

In the triangle below, with right angle ZE, suppose that m ZD= (3x+38) and mZF=(4x+3)°.
Find the degree measure of each angle in the triangle.
HURRY PLSSS

Answers

Answer:

[tex]for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\ \\ mZD=(3x + 38) \\ = (3 \times 7) + 38\\ mZD = 59° \\ \\ mZF=(4x+3)° \\ = (4 \times 7) + 3 \\ mZF = 31°[/tex]

Lots of points please help

Answers

Answer:

hi

Step-by-step explanation:

I need help on this too

Answer:

first one

Step-by-step explanation:

do i really need an explanation like come on

7. Triangle FIP was dilated by a scale factor of centered at the origin to
create triangle F'I'P', which has coordinates F' (1,-),1'(2,-1),P'(1,2).
Write the coordinates of the vertices of triangle FIP in the spaces
provided below.
FC
16
IC
17
PC
18

Answers

Answer:

AB is parallel to A'B'.

DO,1/2 (1/2x, 1/2y) =

The distance from A' to the origin is half the distance from A to the origin.

Step-by-step explanation:

In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm

Answers

Answer: c. 6.3

Step-by-step explanation:

Select the expression that is equivalent to 18 : 12 A) 6 (8+6) B 12 (4+1) C 4 (443) D 8(6+4)

Answers

Answer:

Step-by-step explanation:

D 8(6+4)

one of the roots of the equation 27x^2 + bx + 8 =0 is known to be the square of the other. Find b​

Answers

Answer: Your going to have to correct your placing of your numbers.

-12 is value of b for equation 27x²+bx+8=0

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

Given,

One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.

We need to find the value of b.

Let one root is a and the other root is a².

(x-a)(x-a²)=0

x²-xa²-ax+a³=0

x²-x(a²+a)+a³=0

Now multiply by 2

x²-2x(a²+a)+2a³=0

x² + bx + 16=0

2a³=16

Divide both sides by 2

a³=8

a=2

27x²-2x(a²+a)+2a³=0

27x²-2x(4+2)+16=0

27x²-2x(6)+16=0

27x²-12x+16=0

b=-12

Hence, -12 is value of b for equation 27x²+bx+8=0

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

Very Short Answer Questions
3. The total surface area of a cube is 1,944 sq cm. Find its side.
35 points and will be mark as brainlist​

Answers

[tex]\huge\bf\underline{Answer}[/tex]

Given :-

Total surface area of a cube = 1944cm²

To Find :-

Side of the cube

Formula :-

[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]

Where,

TSA = Total surface area of a cube

a = Side of a cube

Solution :-

Let the Side of a cube be 'x'

By substituting values according to the formula,

[tex]\sf{:⇒6(x) ^{2} } = 1944cm^{2} [/tex]

[tex]\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }[/tex]

[tex]\sf{:⇒ {x}^{2} = 324}[/tex]

[tex]\sf{:⇒x = \sqrt{324} }[/tex]

[tex]\sf{:⇒x = 18cm}[/tex]

Hence, The Side of a cube is 18cm

The ratio using a colon is
82 and 23. Plzz. Help

Answers

82;23


I believe that it is that or 23;82

5c times 3c squared to the third power

Answers

Answer:

125c^3 * 27c^6

Step-by-step explanation:

(5c * 3c^2)^3

Distribute the cube:

5^3=125 3^3=27

When raising a power to a power we multiply the exponents:

125c^3 * 27c^6

Help please, it’s due today

Answers

Answer:

X = 37

Step-by-step explanation:

A triangles angles add up to 180. You have two of the three. You can do

x + 45 + 98 = 180

then simplify

x + 143 = 180

subtract 143 from both sides

x = 37

Write an equation for the line that passes through the points (0,6) and (3,0).

y=-23-6

y=-22-3

y=- 4-6

y=-22-3

Answers

Answer:

y=-2x+6

Step-by-step explanation:

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