Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
59°
58.3 inches
Step-by-step explanation:
Here is the full question :
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Please check the attached image for a diagram explaining this question
The angle the ladder makes with the ground is labelled x in the diagram
To find the value of x given the opposite and adjacent lengths, use tan
tan⁻¹ (opposite / adjacent)
tan⁻¹ (50 / 30)
tan⁻¹ 1.667
= 59°
the length of the ladder can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√(50² + 30²)
√(2500 + 900)
√3400
= 58.3 inches
whats the volume the triangular prism?
Answer:
V = 1000 cm³
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Bh ( where B is the area of the triangular end and h is the height )
B = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 10 × 8 = 5 × 8 = 40 cm² , then
V = 40 × 25 = 1000 cm³
y-5=m(x-6) solve for m
5 + -6m + mX,
If you like, I can explain a bit more!
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}\\\\y-5=m(x-6)\\------------\\\rightarrow m(x-6) = y-5\\\\\rightarrow \frac{m(x-6)=y-5}{(x-6)}; x\neq 6\\\\\rightarrow \boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
I don’t know if I get this right so can someone correct it or check it ?
Answer:
i think thats right
Step-by-step explanation:
The water level was - 4
feet before rainy season.
After rainy season the
water level was 4 feet.
By how much did the
water level change?
Any help is appreciated!!!
See photo/ will give 10 points.
Answer:
B) Multiply by 3/2 on both sides of the equation by the multiplication property of equality
given m(n)=2n^2-10n-14,find m(4)+m(-1)
Answer:
-24
Step-by-step explanation:
m(4)=2*4^2-10*4-14=-22
m(-1)=2*(-1)^2-10(-1)-14=-2
m(4)+m(-1)=-24
Help if you don’t mind
factorisation of 4x^2-5x-1
what is the rename of 10/21
Answer: ten Twenty-one
Step-by-step explanation:
10/21
Quickly please help
Answer:
6
Step-by-step explanation:
f(x)=2x^3-5x when x=2. So f(2)=6
Find the indicated side of the right triangle
Answer:
Step-by-step explanation:
tan30°=3/x
xtan30°=3
x=3/tan30°
x= 5.2
Which could be the first step in simplifying this expression? Check all that apply.
Answer:
[tex](x^{-3})^2[/tex]
Step-by-step explanation:
applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents
Find the standard deviation for the set of data.
{5,4, 18, 14, 22, 20, 6, 16, 12}
What is the volume of this figure?
Answer:
88 ft^3
Step-by-step explanation:
First find the volume of the rectangular prism on the left
V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3
Then find the volume of the rectangular prism on the bottom
The base is not 5 but 5-2 since we used 2 on the left side
V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3
Add them together
64+24=88
anyone know if its a b c or d?
Answer:The right answer is B
Step-by-step explanation:
If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)
Find f(2) if f(x) = (x + 1)^2
Answer:
9
Step-by-step explanation:
Plug in 2 for x
You should get f(2)=(2+1)^2
Add 2+1 inside the parenthesis to get 3
Finally do (3)^2 to get 9
The width of a rectangle is 4 feet more than the length. If the length is doubled and the width is decreased by 2 feet, a new rectangle is formed whose perimeter is 68 feet. Find the dimensions of the original rectangle.
Answer:
Step-by-step explanation:
We'll work through this by setting up a table, as follows:
original new
width
length
It tells us the width of a rectangle is 4 feet more than the length. If we don't know the length, we'll call it L; that means that the width is L + 4, because the width is the length plus 4 more feet. Put that into column 1:
original new
width L + 4
length L
The next sentence tells us how the original rectangle is being manipulated to create a new rectangle, so that information goes into the column named "new". The original length is doubled:
original new
width L + 4
length L 2L
and the original width is decreased by 2:
original new
width L + 4 L + 4 - 2 (which simplifies to L + 2)
length L 2L
The perimeter of the new rectangle is 68. The formula for the perimeter is
P = 2L + 2w, so filling in our info along with the given perimeter:
68 = 2(L + 2) + 2(2L) and
68 = 2L + 4 + 4L and
68 = 6L + 4 and
64 = 6L so
L = [tex]\frac{32}{3}[/tex] and the width then is
w = [tex]\frac{32}{3}+4[/tex] so
w = [tex]\frac{44}{3}[/tex]
1. Find x.
Please help ASAP
Answer: 2.31
Step-by-step explanation:
<RQT is a straight angle. What are m<RQS and m<TQS? (also I know it's 19x+9. I need the numbers like 180 or something) it's degrees.
Answer:
<RQS=103 degrees
<SQT=77
Step-by-step explanation:
19x + 9 = 180 subtract 9 from both sides
19x = 171 divide both sides by 19
x = 9 replace 9 for x in your original
11 x 9 + 4 = 103
8 x 9 + 5 = 77
Answer:
RQS=103°,SQT=77°
SEE THE IMAGE FOR SOLUTION
6cos(20πt-π)+6√3cos(20πt-π\2)
Answer:
Answer is -6t
Step-by-step explanation:
[tex]{ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}[/tex]
Note that π is 180°
100 points for you if you help me
Answer:
see below
Step-by-step explanation:
It is given that m<A +m<B = m<B + m<C. We can subtract angle B from each side using the subtraction property of equality. That leaves m<A = m<C We can use the symmetric property so that m<C = m<A
Answer:
[tex]thank \: you[/tex]
what is 2 to the negitive one power
Answer:
1/2
Step-by-step explanation:
2^ -1
We know that a^-b = 1/a^b
1 / 2^1
1/2
A woman deposit $600 into an account that pay 5 1/4% interest per year. How much interest will she recieve in one year ?
Answer:
$31.5
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 600 * 5.25 /100 = 31.5
Twice the difference between a number and 4 is twenty. Find the number.
А. 8
B. 9
C. 12
D. 14
Please help!!!
Answer:
D 14
Step-by-step explanation:
Let x be the number
2(x-4) = 20
Divide each side by 2
2/2(x-4) = 20/2
x-4 = 10
Add 4 to each side
x-4+4 = 10+4
x = 14
Answer:
The number is 14
Step-by-step explanation:
Let's call this unknown number of x:
2×(x – 4) = 20
2x – 8 = 20
2x = 20 + 8
2x = 28
x = 28/2
x = 14
If you know the answer can you please walk me through how you got it.
Answer: Choice B
1 & 3/4
=============================================
Explanation:
Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.
Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.
We'll divide the numerators 7 and 4 to get
7/4 = (4+3)/4
7/4 = (4/4) + (3/4)
7/4 = 1 + (3/4)
7/4 = 1 & 3/4
Meg can get 1 & 3/4 servings from the jug.
STAT question please help me TT
Answer:
C
because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average
WILL MARK BRAINLIEST !! find the coordinates F after a dilation about the origin of 2.5 write your answer in AB form
Explanation:
Point F is located at (2,0)
Multiply each of those coordinates by the scale factor 2.5
2.5*2 = 52.5*0 = 0This means point F(2,0) moves to F ' (5,0) after applying the dilation, where the dilation is centered at the origin.
Write the area A of an equilateral triangle as a function of the length s of its sides.
STEP 1: Find the base of the equilateral triangle in terms of s.
STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.
Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.
HOPE SO IT HELPS YOU
Answer:
Step-by-step explanation:
Part A
Each side including the base is s.
Part B
Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2
The hypotenuse is s
The base is 1/2s
h^2 = s^2 - (1/2s)^2
h^2 = s^2 - 1/4 s^2
h^2 = 3s^2/4
h = sqrt(3)/2 *s
Area = 1/2 * s * sqrt(3)/2 s
Area = 1/4 * s^2 * sqrt(3)
1. Which is an example of an algebraic expression? (2 point) A.4(3+8) B.18² C.3-a D.21×4
Answer:
C
Step-by-step explanation:
The answer is C cz it contains the letter a
Rae earns $60 for playing music on Saturday nights at the local coffee house. She makes an average of $5.25 in tips per hour. Write the function of Rae's earnings, and solve for how much she would make after 4 hours. (1 point) a y