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
What is measure p angles has 5 sides
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!
The ratio using a colon is
82 and 23. Plzz. Help
X= What does ×= 88, 89 or 90
7 + 2 + 5 + 1 +5=?
hmmmmmmmmmmm
Answer:
20.. ... ...... .. ........
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
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:
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
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]
What is the total amounted sap the tees produced that day
Answer:
5 gallons
Step-by-step explanation:
i have done this lesson before
#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
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
Can someone please help me
Select the expression that is equivalent to 18 : 12 A) 6 (8+6) B 12 (4+1) C 4 (443) D 8(6+4)
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
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
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5c times 3c squared to the third power
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
Which of the following polynomials have degree 5?
Answer:
lll
Step-by-step explanation:
*dab
it feels good to know the answer
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
[tex]\huge\bf\underline{Answer}[/tex]
Given :- Total surface area of a cube = 1944cm²To Find :- Side of the cubeFormula :-[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]
Where, TSA = Total surface area of a cubea = Side of a cubeSolution :-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 18cmIn 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
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]
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
Answer:
y=-2x+6
Step-by-step explanation:
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
Answer:
The correct answer is B.) (4x - 7 + 5x + 5) and (9x + 12).
Lots of points please help
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
Find the missing value in the percent statement using a proportion.
______ is 75% of 4.
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.
Help ASAP please. I’ll give you brainliest
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
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
Answer: c. 6.3
Step-by-step explanation:
The snowy slopes ski resort kept track
Brothers and sisters, I am in need of assistance from someone FAR smarter than me
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
Answer:
Step-by-step explanation: 250 miles + 50 miles = 300 miles
300 miles / 5 hours = 60 miles per hour
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]
Answer:
C. 91Step-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 = 91So correct choice is C
Help please, it’s due today
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
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
Answer:
D. 10x - 5
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-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 - 5Answer please I need this quick !!!!
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.
So right how to do this so help me it hurts
Answer:
The answer is y=6x+2
Step-by-step explanation: