Answer:
Step-by-step explanation:
Five students= 5x
They all got two more= 5x + 2(5)
5x + 10 = 30
- 10 -10
5x = 20
5
x = 4
Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get from the ground to the entrance of the building. In order to follow the state building code, the angle formed by the ramp and the ground cannot exceed 4.75°.
Mr. Gow plans from the planning department that call for the ramp to start 25 feet away from the building code?
a. Draw an appropiate diagram. Add all the measurements you can. What does Mr. Gow need to find?
b. According to the plan in part (a), what angle will the ramp make with the ground? Will the ramp be to code?
c. If Mr. Gow builds the ramp exactly to code, how long will the ramp be? In other words, at least how far from the building must the ramp start in order to∞ meet the building code? Show all work.
(NOT A MULTIPLE CHOICE)
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Answer:
a. see below for diagram. Angle for the length; length for the angle
b. 6.84°; not to code
c. 36.1 ft
Step-by-step explanation:
a. The diagram is shown below. Mr. Gow needs to find the angle it makes in order to determine if it is up to code. Alternatively, Mr. Gow needs to find the required length for a ramp that meets code.
__
b. The angle the ramp makes can be found using the tangent relation.
Tan = Opposite/Adjacent
tan(angle) = 3/25
angle = arctan(3/25) ≈ 6.84°
The ramp will make a 6.84° angle with the ground. It will not meet code.
__
c. We can find the distance from the building where the ramp must start using the same trig relation.
tan(4.75°) = (3 ft)/(distance)
distance = (3 ft)/tan(4.75°) ≈ 36.1 ft
The ramp must start 36.1 feet from the building to exactly meet code.
ABOVE answer is absolutely correct
Look at the graph of the functions. Given the original function, what is a possible equation for the translated function, g(x)?
Answer: c
Step-by-step explanation:
Leo baseball team scored 180 home runs they only have 50 games how many home runs did they score per game
determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP
5x-y=-6
y=-7x+6
find y and x and show work
Answer:
5x-y=-6.............1
y=-7x+6...........2
substituting value of y in equation 1
5x-(-7x+6)=-6
5x+7x-6=-6
12x=0
x=0/12=0
substituting value of x in equation 1
5×0-y=-6
y=6
Find the area of the shaded region
Answer:
Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .
Step-by-step explanation:
base = 40
height = 16
Area of parallelogram = b×h = 40× 16= 640
Answer:
the area of the shaded area is 160 cm ²
Step-by-step explanation:
Hey There!
so the first step in solving this problem is to find the area of the whole shape
This is a trapezoid and the formula for area of a trapezoid is
[tex]A=\frac{a=b}{2} h[/tex]
a = base 1 (20)
b = base 2 (40)
h = height (16)
now we plug in the values
[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]
so the area of the trapezoid is 480
The next step is to find the area of the triangle
To do so we use this formula
[tex]A=\frac{hb}{2}[/tex]
h = height (16)
b = base (20)
now we just plug in the values
[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]
The area of the triangle is 160
Select all the expressions that are equivalent to 4x+2.
A 8x+48 x plus 4
B 12(8x+4)1 half times open paren 8 x plus 4 close paren
C 12(2x+1)1 half times open paren 2 x plus 1 close paren
D 2(2x+1)2 times open paren 2 x plus 1 close paren
E 2x+2x+1+1
and one brainleiss
Which expression has a negative value?
−5⋅5⋅−5⋅−5⋅−5
−5⋅5⋅−5⋅−5
−5⋅−5⋅5
−5⋅−5
Answer: The answer would be B
Step-by-step explanation:
I had a test like this so I kinda know wut the answer is a few weeks or so ago but u need to multiply -5 • 5 (which would be negative since it has one negative sign) then multiply -5 • -5 (since it has another negative it’s positive) then u just multiply the answers that u got from the times 5 u did -bonus if it’s 1 negatives it’s a negative but if it’s 2 negatives it’s a positive
Answer:
The answer is B
Step-by-step explanation:
1 1/5 + 3 2/5
fractions
Answer:
4 7/15
Step-by-step explanation:
Hope this helps :)
Solve |3x – 2| = |x + 1| Question 12 options: A) x = 3∕2 or x = 1∕4 B) No solutions C) x = 3 or x = –4 D) x = 1∕4
Answer:
x = 3/2
Step-by-step explanation:
Step (1) :
We should put like term togther:
3x - x = 2 +1
2x = 3
Step (2) :
Divide bothe side by 2:
2x/2 = 3/2
x = 3/2
In ΔFGH, f = 35 inches, g = 20 inches and h=30 inches. Find the measure of ∠H to the nearest degree.
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Answer:
59°
Step-by-step explanation:
The law of cosines tells you ...
h² = f² +g² -2fg·cos(H)
Solving for angle H gives ...
H = arccos((f² +g² -h²)/(2fg)) = arccos(725/1400) ≈ 58.811°
∠H ≈ 59°
Answer:
100
Step-by-step explanation:
it just is
Given f(x)=(1/2x)-5, find f^-1(x).
Answer:
[tex]f^{-1}[/tex](x)=2x+10
Step-by-step explanation:
f(x)=[tex]\frac{x}{2}[/tex]-5
Let y= [tex]\frac{x}{2}[/tex]-5
y= [tex]\frac{y}{2}[/tex]-5
x+5= [tex]\frac{y}{2}[/tex]
Both side multiple 2,
2x+10=y
[tex]f^{-1}[/tex](x)=2x+10
Simplify
|x+3| if x > 5
Answer:
rrir
Step-by-step explanation:
e8
What did I forget to do in this question? What should the answer be?
Use only Quadratic Formula
[tex] {7x}^{2} + 9x + 2 = 0[/tex]
[tex] {x}^{2} + 9x + 14 = 0[/tex]
[tex](x + 7)(x + 2) = 0[/tex]
x= -7,x=-2
The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is
7x ² + 9x + 2 = 0
→ x ² + 9/7 x + 2/7 = 0
This step isn't actually necessary to begin with since the starting quadratic is easily factorized:
7x ² + 9x + 2 = (7x + 2) (x + 1) = 0
Then
7x + 2 = 0 or x + 1 = 0
7x = -2 or x = -1
x = -2/7 or x = -1
Alison and Tyrone each bought a slice of pizza in the shape of a right triangle as
shown. What is the area of each slice of pizza? Who has the larger slice?
Alison 5in-W. 6inL
Tyrone 3in L. 8 W
Alison's slice of pizza has an area of in.
Answer:
The area of Alison's pizza would be 30 in.
Marissa launches a toy rocket in her backyard. The path of the rocket is
modeled by the equation h = 18t - 3t, where h is the height in feet, and t is the
time in seconds since the rocket was launched.
Answer:
maybe u should have paid attention in class buddy
Step-by-step explanation:
L
26.) Using x as the unknown number, write the statement below as an equation.
The sum of twice a number and 7 is equal to the sum of the number and 6
Answer:
true
Step-by-step explanation:
The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second
jump. How many feet did the frog jump in total?
feet
Pls show mercy!!!!!
Find the measure of <2.
62 = [?]
Answer:
63°
Step-by-step explanation:
They are corresponding angles.
Activity 1
Fill in the missing number:
1. 34 533; 35 533 ; 36 533; 37 533; 38 533
2. 6475; 6 490;
3 6 520; 6 235; 6 250.
3. 55 455; 55 470;
Answer:
3 6 520; 6 235; 6 250.
PLS ANSWER GIVING 15 POINTS!!!
Answer:
Instead of adding the exponents of 2 to get four you should just leave the exponent as two in the final answer.
Please help me, I don’t understand!
Answer:
y=9x+7
Step-by-step explanation:
the number in front of x is always the slope and the number after it is the Y intercept where the line first crosses the Y axis
express as a difference.
a.) 7+3
b.) a+5
c.) a+b
First correct answer is Brainliest.
Answer:
Step-by-step explanation:
15-5
a-(-5)
a-(-b)
Helpp me pls ,, 15 points given !!
Answer: The answer is B
Step-by-step explanation:
Susan works at the local Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her commission
Answer:
I think it's 2000
Step-by-step explanation:
Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced with the task of first evaluating sin(y2) dy. But it's impossible to do so in finite terms since sin(y2) dy is not an elementary function. So we must change the order of integration. This is accomplished by first expressing the given iterated integral as a double integral. Using this equation backward, we have 2 0 2 x sin(y2) dy dx
Answer:
Step-by-step explanation:
Given that:
[tex]\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}[/tex]
[tex]\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}[/tex]
[tex]\text{Now, above equation gives room for double integral in reverse order;}[/tex]
[tex]\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\[/tex]
[tex]= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}[/tex]
Find the measure of a 2.
45 135
62 = [?]
Answer:
45
Step-by-step explanation:
Pls somebody that knows this answer it please
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
Please help!!!!!????
Answer:
I think it's decameter^^
What's the expanded notation of 5.34