Answer:
11.6m
Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
We solve the above question using the Trigonometric function of Sine.
sin θ = Opposite/ Hypotenuse
Hypotenuse = Length of the ladder = 13.5m
Opposite = d
θ = 59° 22'
= 59° + 22/60
= 59° + 0.367
= 59.367°
Hence,
sin 59.367 = d/13.5m
d = sin 59.367 × 13.5m
d = 11.616057416m
Approximately = 11.6m
Therefore, the distance d the ladder goes up the wall is 11.6m
please answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: X is less than or equal to 7 (keep the inequality sign you already have)
Step-by-step explanation:
Subtract 11 from 18
18-11 = 7
X is less than or equal to 7
Answer:
OMG i am doing this is school to!! So anyways 11+x< or equal to 18=0.611.
Step-by-step explanation:
Simplify 11/x. Then it should be 11/x-18=0.
please help i’ll give brainliest if you help thanks
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation:
Match the word to its description.
The most frequent value = mode
The middle value = median
The average = mean
The difference between the lowest and highest value = range
Answer:
Mode is the most frequent value
Mean is the average
Median Is the middle value
Range is the difference between etc...
If it takes 3/4 cups of sugar to make 1 batch of cookies, then how many cups of sugar does Fred need to make 4 or 1/2 batches?
Answer:
Fred needs 3 cups of sugar to make 4 batches
Fred needs 3/8 cups of sugar to make 1/2 batches
Step-by-step explanation:
1 batch of cookies = 3/4 cups of sugar
how many cups of sugar does Fred need to make 4 batches
Let x = cups of sugar needed
Batches : Cups of sugar
1 : 3/4 = 4 : x
1 ÷ 3/4 = 4/x
1 * 4/3 = 4/x
4/3 = 4/x
Cross product
4 * x = 3 * 4
4x = 12
x = 12/4
x = 3 cups of sugar
Fred needs 3 cups of sugar to make 4 batches
how many cups of sugar does Fred need to make 1/2 batches?
Let x = cups of sugar needed
Batches : Cups of sugar
1 : 3/4 = 1/2 : x
1 ÷ 3/4 = 1/2 ÷ x
1 * 4/3 = 1/2 * 1/x
4/3 = 1/2x
Cross product
4 * 2x = 3 * 1
8x = 3
x = 3/8 cups of sugar
Fred needs 3/8 cups of sugar to make 1/2 batches
Corinna wants to make ⅔ of the recipe. Does she need more or less than 1 ¾ cups of sugar? Explain how you know. How many cups of sugar does she need?
Jaquin would like to install a rug in her square living room. Her living room has an area of 121 square feet. What should the side length of the rug measure?
Answer:
11 feet
Step-by-step explanation:
All the sides of a square are equal
the area of a square = length²
121 ft² = length²
to determine the length find the square root of the area, 121
√121 = 11 feet
Solve: 2/3x = 18
A.) x = 12
B.) x = 27
C.) x = 16
D.) x = 3
Answer:
option b 27 is the answer
Five more than twice a number is less than one more six times the number.
If a car is moving at a speed of 30 miles per hour, how many miles
would a car travel in 180 minutes?
Answer:
90 miles
Step-by-step explanation:
There's more than one way in which to do this. I have chosen to convert '180 minutes' to '3 hours.'
Since distance = rate times time, we have here:
distance traveled in 180 minutes = (30 mph)(3 hr) = 90 miles
Please answer this! Pleaseeeeee
Answer: x=50°
Step-by-step explanation:
For this question, you have to first find out whether you are using Sin, Cos or Tan.
To help you find out which one you are using you can use SOH CAH TOA to help you:
SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.
In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.
So first you would write:
Cos x=59/91
But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:
x=cos-1 59/91
To get the answer you would have to put this in your calculator.
So x=50°
Hope this helps :)
What is the additive 3x -6
Answer:
-18
Step-by-step explanation:
Answer:
−3x+6
Step-by-step explanation:
4 2/5 + k = 3 2/11
What is K??
Answer:
K is -1 12/55
Step-by-step explanation:
You take 3 2/11 minus 4 2/5 to get -1 12/55. If you want to make sure, you add 4 2/5 and -1 12/55. The answer will be 3 2/11
(10+12x)(15x+1) please help me
Consider the function shown on the graph.
Which function does the graph represent?
(8, 15)
15
of(x) = (x + 3)(x + 7)
Of(x) = (x - 3)(x - 7)
of(x) = 3(x - 3)(x - 7)
Of(x) = 11(x + 3)(x + 7)
12
9
6
3
(30)
A7, b)
-13
1
2
34
5
6
2 8 9
X
L6
L9
-12
-15
Answer:
12
Step-by-step explanation:
X/19 < -7
Inqualities
Because 19 is being divided, you have to do the opposite. What's the opposite of division? Multiplication. So multiply 19 to -7, then get rid of the 19 on the x's side(cuz it was cancelled out). Now you should have x<-133. In case you don't know, positive times negative equals negative, but negative times negative equals positive.
---
hope it helps
Find the TOTAL Surface Area of the square prism below.
12 cm
6 cm
6 cm
6 cm
6 cm
360 cm2
216 cm2
72 cm2
288 cm2
Answer:
I believe that the answer is C: 72 cm²
!!please help me questions is at the bottom!!!
Choose one polynomial from each column below that will result in the given product. Select one option from each drop down. 24x^3y^2+16xy^3+12y^3 Column 1 a.) 4xy b.) 4x^2y c.) 4y^2 Column 2 d.) 6x+4y+3 e.) 6x^3+4xy+3y f.) 6x^2y+4x+3y^2
Answer:
[tex]Column\ 1: 4y^2[/tex]
[tex]Column\ 2: 6x^3+4xy+3y[/tex]
Step-by-step explanation:
Given
[tex]24x^3y^2+16xy^3+12y^3[/tex]
Required
Determine the product from the given column
[tex]24x^3y^2+16xy^3+12y^3[/tex]
Factor our [tex]y^2[/tex]
[tex]24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)[/tex]
Factor out 4
[tex]24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)[/tex]
So: the factors are:
[tex]4y^2[/tex] and [tex]6x^3 + 4xy + 3y[/tex]
This gives:
[tex]Column\ 1: 4y^2[/tex]
[tex]Column\ 2: 6x^3+4xy+3y[/tex]
(6x – 8) + (–x + 7)
Answer:
5x -1
Step-by-step explanation:
(6x – 8) + (–x + 7)
Combine like terms
6x -x -8+7
5x -1
Step-by-step explanation:
6x-(-x)+8+7=5x+15
5x= 15
x=15÷5
x=3
Help can someone do this problem and explain how they got the answer
Answer:
y+x=21 2/3
Step-by-step explanation:
AHHHHH I love these types of problems!
So we know that 95+85+2y-5+3x+55=360. Congrats! we now have an equation!
Let's do the easy part first. What's 95+85?
You guessed it! That's 180.
So we know that 2y-5+3x+55=180. Let's simplify this to make it easier!
2y+3x+50=180
Then we solve
2y+3x+50=180
-50 -50
2y+3x=130
/2 /2
y+3x=65.
/3 /3
y+x=21 2/3
There you have it! 21 2/3.
1.) At a state fair, each person pays $8 for admission plus $3 for each ride. While at the fair,
Elizabeth goes on 6 rides. Which expression can be used to find the total amount Elizabeth spends?
F. $8 + 6 * $3
H. ($8 +$3) + 6
G. ($8 +$3) 6
I. $8 x 6 * $3
Will give crown 20 points !!
Answer:
the answer is F
Step-by-step explanation:
beacuse I hope I helped :)
2. Which is greater, 5.15 x 10-4 or 6.35 x 10-5
Answer:
6.35 x 10-5
Step-by-step explanation:
5.15 x 10-4 = 47.5
6.35 x 10.5 = 58.5
therefore 6.35 x 10-5 is greater
Olivia purchased a music system worth $18,000 in the year 2018. It loses its value
by 6% per year. What is the value of the music system in 2020?
a) $16920
b) $20224.80
c) $15904.48
d) $14950.51
Answer:
answer is c 15904.48
Step-by-step explanation:
y=a(l-r ) Y=18000(1 - .06) = 15904.48
answer would be needed ! thanks
Yolanda ha comprado un coche por 8.200 euros. Lo ha pagado en tres partes. Primero pagó un 60% del valor del coche, después el 25% y por ultimo el resto ¿ cuánto pagó Yolanda la última vez?
Answer:
1.230 euros
Step-by-step explanation:
De la pregunta anterior se nos dice que:
Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.
Paso 1
Sea el porcentaje de la suma total de dinero = 100%
Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.
Dejemos que el resto esté representado por x
Por eso;
Primera parte + Segunda parte + Tercera parte = 100%
60% + 25% + x = 100%
x = 100% - (60% + 25%)
x = 100% - 85%
x = 15%
Paso 2
¿Cuánto pagó Yolanda la última vez?
La última vez = Tercera parte y esto se calcula como:
15% de 8.200 euros
= 15/100 × 8.200 euros
= 1.230 euros
Yolanda pagó 1.230 euros la última vez.
PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
Over what interval(s) is the function strictly linear?
0
−2
0
−2
Answer:
It’s -2 and 0 AND also 2 and 4
Step-by-step explanation:
Good luck!
can sumone please help me im sooo tired and i have like 2 more test to complete today please thank you!!
Answer:
so not submit yet, i cant see the digits in the sphere.
Use the Pythagorean Theorem, a2+b2=c2 to find the length of a triangle when a = 9 feet and b = 40 feet.
c= 7 feet
c= 40 feet
c= 41 feet
c= 49 feet
Answer:
C
Step-by-step explanation:
What is the value of 6 [4-9.4]? -36 -33 -32 -30
Answer: D: -30
Answer:
D. -30
Step-by-step explanation:
EDGE 2021 I GOT 100%
Pythagorean theorem please help
Answer:
x = 40
Step-by-step explanation:
a²+b²=c²
x²+9²=(x+1)²
x²+81=x²+2x+1
81=x²-x²+2x+1
81=2x+1
81-1=2x
80=2x
x=40