a fire truck has a ladder that can extend to 120 ft in length. The ladder can be safely raised to the maximum angle of 75 with the horizontal. Disregarding the height of the fire truck itself which is the closest to the maximum height the ladder can safely reach
Answer:
the ladder is 60 feet and the angle is 75 degrees guess and check sin75=x/60
0.9659258263=x/60
57.9555=x
57.96=x
so B
Find the value of x. Round to the nearest tenth
Answer:
54.8 (rounded to the nearest tenth from 54.76558202)
Step-by-step explanation:
Using the Cosine equation (CAH) you type in a calculator "cos(x) = 4.5/7.8".
This will get you the answer if typed in a calculator and hitting "SOLVE".
Chris wants to create a rectangular rose garden in a yard. He has 48 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answer:
If the length is kept 16 or 14 and the breadth 8 or 10 the outer fencing can be 48 meters.
Step-by-step explanation:
The boundary gives the perimeter . Using the formula of the perimeter for a rectangle where L= length and B= breadth
P = 2(L+B)
48= 2(L+B)
24= (L+B)
The length must be longer than the breadth in the rectangle so we can obtain the sum of 24 in such a way that one side is longer than the other.
24= 16+8
or 24= 14+10
where the length can be 16 or 14 and breadth can be 8 or 10 .
If the length is kept 16 or 14 and the breadth 8 or 10 the outer fencing can be 48 meters.
FIND THE AREA OF THE COMPOUND
Answer:
69
Step-by-step explanation:
Answer:
424 ft2
Step-by-step explanation:
Split the shape into two shapes
Solve each shape:
24x5= 120
16 (21-15=6) x19= 304
120+304= 424
136 X 24 in Standard Algorithm
and
245 X 67 in Standard Algorithm
(Please help, I have to turn this in soon)
3264 and 16,415
Step-by-step explanation:
136 x 24= 3264
245 x 67 = 16,415
7.You plan to show that triangle QRS is similar to triangle XYZ by the SSS Similarity Theorem. Complete the proportion that you will use:
Brian ate 2/3 of a pizza. His friend, Joseph, ate 1/4 of what was left. How much pizza did Joseph eat?
Answer:
1/12
Steps:
1 - 2/3 = 1/3
1/3 / 4 = 1/3 × 1/4 = 1/12
Find the ending
balance:
$30,000 for 5.5 years
at 6% annual
compound interest
step by step explaination:
ending balance=$30000
30000*5.5
165000÷6=27,500
compound interest =27,500
(50pts) The distance covered and the time taken by a car are plotted in a graph.
a. Find the slope of the line in the graph.
b. Calculate the distance traveled by the car at the 20th second.
c. Calculate the speed of the car.
Answer:
a=2
b=40m
c=2m/s
Step-by-step explanation:
slope is rise over run so 10/5 simplified is 2/1 or 2
for b just look at the graph at the 20th second
for c you do distance over time so basically the same thing as a 10/5 which is 2m/s
PLZZZZZZZZZZ HELLLLPPPPPPPPP WILL MARK BRAINLIEST
Answer:
whats the question i dont see nothing
In how many ways can 7 cars be parked if there are 10 available parking spaces?
Pa sagot po pls :(
Answer:
7/10 is the answer as a fractions
Given the diagram, solve for x?
Simplify the expression
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
The distance travelled by a delivery vehicle can be calculated by the equation Distance = Rate x Time. What would be the correct representation of a situation in which a driver doubles his original speed, but drives for only of the original amount of time? dn = new distance do = original distance
Answer:
New distance = 2do
Step-by-step explanation:
The distance equation :
Distance = speed * time
If speed is doubled ; time stays the same
If speed is doubled,; new speed becomes
Doubled speed = 2* speed
Time remains the same ;
Hence,
New distance becomes : 2 * speed * time
Original dista, Speed * distance
New distance, dn = 2*do = 2do
What is the range of the data set shown below?
{ 1, 1, 1, 4, 5, 6, 7, 15}
Answer:
1-15!
Step-by-step explanation:
DB is a perpendicular bisector of ADC.
AC = 2x + 20 BC = 4x-2 Solve for x.
Find BC and AC.
Answer:
Step-by-step explanation:
Sarah rolls a fair dice 54 times.
How many times would Sarah expect to roll a four?
Answer:
9
Step-by-step explanation:
The dice will have 6 sides so divide 54 by 6
Answer:
9
Step-by-step explanation:
The dice will have 6 sides so divide 54 by 6
HOPE THIS HELPS!!!!
PLEASE HELP Determine W and X in Circle M
your answer will be
w=16°
X=148°
Step-by-step explanation:
hope it helps you
have a great day!!
Help don't answer if you don't know!!!!
Answer:
48
Step-by-step explanation:
Since it's a right angle, it's automadically 90 degrees so you just have to add 23+ 19 and subtract from 90.
23 + 19 = 42
90 - 42 = 48
Please show work! thank you :)
Answer:
c = 18
d = 36
Step-by-step explanation:
2c = d (equation 1)
c + d = 54 (equation 2)
Use substitution by putting 2c in the place of d on the second equation.
c + 2c = 54
3c = 54
Then divide both sides by 3 to get c (18).
Then use equation 1 to find d. Do this by putting 18 in the place of c.
2(18) = d
Solve, and the answer is d = 36
Four rays meet at a common endpoint. Find the value of x. Find the measurement of angle CAD, if angle BAC =60, DAE= 90 and angle BAE= 12x, CAD=3x
Answer:
x = 14
<CAD = 42degrees
Step-by-step explanation:
Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees
Taking the sum of all the angles and equating to 360, we will have;
<BAC + <DAE + <BAE + <CAD = 360
60+90+12x+3x = 360
150 + 15x = 360
15x = 360 - 150
15x = 210
x = 210//15
x = 14
Get <CAD
Since <CAD = 3x
<CAD = 3(14)
<CAD = 42 degrees
Hence the measure of angle CAD is 42degrees
How can I get someone to stop holding a grudge and mocking me at practice. I would really appreciate the help.
Answer: Well first find out why that person is mocking you or holds a grudge against you. Try talking to that person. If that doesn't work, get a friend to help. To be honest, you can also always just ignore that person, there are many mean people out there.
Step-by-step explanation:
Simplify.
8u+9v+3u−5v
11u + 14v
5u + 4v
15uv
11u + 4v
Answer: 11u + 4v
Step-by-step explanation:
8u + 3u = 11u
9v - 5v = 4v
what is the reason these triangles are congruent
a. SSS
B. SAS
C. not congruent
Answer: SAS
Step-by-step explanation: The angles sides are congruent based on the diagram
Use the number line below to determine which of the following answer choices has statements that are all true
Answer: the last one
Step-by-step explanation: B REPRESENTS
-2 ½ . POINT D REPRESENTS 1 ¾ .
1 ¾ is bigger than -2 ½
The answer choice that has the statement that is true about the number line can be seen in the first option.
What is a number line?A number line is a pictorial representation of lines on a calibrated straight line that serves as a basis for expressing real numbers on a straight line.
We should equally note that:
The left-hand side is the negative x-axis and,The right-hand side is the positive x-axis.From the given figures;
Point A lies to the negative axis direction on point scale 4 i.e -4Point D lies extremely to another point scale so we can say it is [tex]\mathbf{1 \dfrac{3}{4}}[/tex]Since 3/4 is roughly 0.75 = 1 + 0.75 = 1.75Therefore, we can conclude that Point A represents -4, Point D represents [tex]\mathbf{1 \dfrac{3}{4}}[/tex] and [tex]\mathbf{1 \dfrac{3}{4}}[/tex] > -4.
Learn more about number line here:
https://brainly.com/question/25230781
Choose the polynomial that is written in standard form.
−3x5 + 4x3 + 10x2
−8x + 4x4 + 3x3
x4 + 4x3 + 10x4
x6 + 4x3 + 10x7
Answer:
A. −3x⁵ + 4x³ + 10x²Step-by-step explanation:
The standard form means that the terms are ordered from biggest exponent to lowest exponent.Verify the answer options
A. −3x⁵ + 4x³ + 10x²
5, 3, 2 - correct orderB. −8x + 4x⁴ + 3x³
1, 4, 3 - incorrect orderC. x⁴ + 4x³ + 10x⁴
4, 3, 4 - incorrect orderD. x⁶ + 4x³ + 10x⁷
6, 3, 7 - incorrect orderAnswer:
[tex] { - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
Step-by-step explanation:
For a polynomial to be in standard form, it must satify the conditions below:
1) It must not contain like terms
2) The exponents (powers) must be written in descending order
That is, the polynomial must be of the form
[tex]f(x) = {ax}^{n} + {bx}^{n - 1} + {cx}^{n - 2} + . \: . \: . \: . \: . \: mx + n[/tex]
Where a, b, c, m, n, are coefficients/constants
The only option that satifies the above conditions, and follows the pattern f(x) shown is:
[tex]{ - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 20 square inches, what are the dimensions of the rectangle?
Answer:
length is 5
width is 4
Step-by-step explanation:
What is 3 (2x + 4) = 12?
Answer:
Hi!!
The answer is = 0
Step-by-step explanation:
1. Distribute
3(2+4)=12
6+12=12
2. Subtract 12 from both sides of the equation
6 + 12= 12
6 + 12 − 12 = 12 − 12
3.Simplify
part A. 6 + 12 − 12 = 12 − 12
6x = 12 - 12
part B. 6x = 12 - 12
6x = 0
Hope this helps!! =)
Yes or no? I need help please ✋
Answer:
It is not a function
Step-by-step explanation:
In function, each x-value has only one y-value
Here the x-value of 7 has two y-values of -3 and -1
Joel borrowed $1,512. He was to pay that amount back along with an additional 9% interest. He could only pay back 82% of what he should have. How much did Joel pay back on his loan?
Answer:
$1351.43Step-by-step explanation:
The amount to pay:
$1512 + 9% = $1512*1.09 = $1648.08The amount paid back:
82% of $1648.08 = 0.82*1648.08 = $1351.43