Answers
Step-by-step explanation:
we are using the right triangle altitude theorem. it means that in a right-angled triangle the geometric mean of the two segments of the Hypotenuse (the baseline opposite of the 90° angle) equals the altitude.
in other words
h² = p×q
h = height
p, q are the 2 segments of the Hypotenuse.
so, in our case we have
100 = x(x + 21) = x² + 21x
that gives us the following quadratic equation
x² + 21x - 100 = 0
the general solution to a quadratic equating is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 21
c = -100
so,
x = (-21 ± sqrt(21² - 4×1×-100))/(2×1) =
= (-21 ± sqrt(441 + 400))/2 = (-21 ± sqrt(841))/2 =
= (-21 ± 29)/2
x1 = (-21 + 29)/2 = 8/2 = 4
x2 = (-21 - 29)/2 = -50/2 = -25
x2 would give us negative lengths for the triangle, which does not make sense.
so, x = 4 is our solution.
that makes the segments of the Hypotenuse 4 and (4+21) = 25 units long (the whole baseline is then 4+25 = 29).
Related Questions
Describe how you would use unit cubes to determine the volume of the rectangular prism below. What is the volume of the rectangular prism? A cube that is five inches in length width and height.
Answers
Answer:
Unit Cubes = 125 in
Volume = 125 in
Step-by-step explanation:
To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
Volume of rectangular prism = length x width x height
Advance explanation:
The formula to find the volume of the rectangular prism is this:
L x W x H = V
L = Length = 5 in
W = Width = 5 in
H = Height = 5 in
V = Volume = 125
You first need to multiply the Length with the Width then multiply the Length and Width with the height (5 x 5 x 5), after that your answer will be 125 In
Hope this helps!
Summarized Steps:
Multiply the Length and Width with the Height (L x W x H).Your answer will be the result of the equation.Answer:
What he said
Step-by-step explanation:
coo'
Pls answer correctly! Thank you : )
Answers
this is 12 points!!!!
please me help i don't undestand it
Answers
Answer:
10,36,3,144,6 and 24 in that order
Step-by-step explanation:
sorry if its wrong
uh i need help bc i cant get the question correct
Answers
Answer:
164
Step-by-step explanation:
Finding the Surface Area :
Area (2 triangles) + Base rectangle + Left rectangle + Right rectangle2 x 1/2 x 4 x 5 + 9 x 5 + 6 x 9 + 5 x 920 + 45 + 54 + 4565 + 99164 cm²Step-by-step explanation:
just take a deep breath, shake your limbs, and then focus on it again.
the surface consists of 5 areas :
front and back triangles (2)
left rectangle
right rectangle
floor rectangle
the area of a rectangle is simple :
length × width
the area of a triangle is
baseline × height / 2
each of the front and back triangles has an area of
5 × 4 / 2 = 5×2 = 10 cm²
both of them have then 10×2 = 20 cm²
the left rectangle is
9×6 = 54 cm²
the right rectangle is
9×5 = 45 cm²
the floor rectangle is also
9×5 = 45 cm²
so, the total surface area is
20 + 54 + 45 + 45 = 164 cm²
I need help..please..ASAP
Answers
Pls help me with this i dont know how to do it
Answers
=1/2 * 8 * 15
= 1/2 * 120
= 60 units ²
Answer:
60 units²
Step-by-step explanation:
Area of triangle is [tex]\frac{1}{2}[/tex]×b×h
b is the length of the base of the triangle
h is the height/altitude of the triangle
considering, you are given the base and height, inserting it into the formula will solve the problem.
Two angles are supplementary, and one of the measures 35 degrees. What is the measure of the other angle?
Answers
this is because supplementary means the two angles equal 180
180-35=145
The Smiths have a rectangular, above-ground swimming pool. The manufacturer says that the pool holds 14,040 gallons of water when filled to capacity. After it is filled, Mr. Smith follows the manufacturer's recommendation of adding 1 ounce of chlorine for every 2,700 gallons of water, every other day. About how many pounds of chlorine will Mr. Smith add to the pool in 3 weeks?
Answers
Answer:
54.6 ounces
Step-by-step explanation:
14,040/2,700=5.2
3 weeks is 21 days
21 days divided by 2 because every other day is 10.5 days
5.2 times 10.5 is 54.6
ill give brainly and 10 points
Answers
Answer:
The correct answer is 150.
Step-by-step explanation:
6 percent of 150 is 9.
Hope this helps:) Goodluck!
6% of 150 = 9
Find The Surface Area Of The Pyramid
Answers
the formula is
=12pl+B
calculate the volume of the following figure
Answers
Answer:
24 Units Cubed
Step-by-step explanation:
Start with the face of your 3D shape, which has a length/width of 3 units and a height of 4 units. Then look at the visible side of your figure, in this case it is the right side. You can see it's width/length of 2 units, so multiply 4x3x2, and in this case 4x3=12 and 12x2 is 24. making your answer 24 units cubed.
Answer:
24
Step-by-step explanation:
A=L×B×H
4×3×2
24UNITS^2
This figure represents a design added to a large poster 6 times using bright yellow paint. No other part of the poster is yellow.
What is the area of the poster that is painted with the 6 yellow figures?
50 cm²
102 cm²
300 cm²
612 cm²
Answers
Answer:
102 cm^(2)
The area of rectangle has 13 cm (6+7) length and 6 is it width area = 13×6 =78 cm^{2}The area of triangle is = ½ × 6 × 8 = 24 cm^{2}The area of the figure is summation of the rectangle and triangle
78+24= 102 cm^{2}
What is the area of the triangle below?
Answers
Answer: 36
Step-by-step explanation:
area of a triangle = [tex]\frac{1}{2}[/tex] length × width
12 × 6 = 72
72 ÷ 2 = 36
Answer:
A = 36 in²
Step-by-step explanation:
To find the area of a triangle use this formula A = A=hb/b
Plug your numbers inA = [tex]\frac{6 * 12}{2}[/tex] = 36Simplify each cube root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all your work 1. ∛81
2. ∛¬64
Answers
2. ∛¬64 = -4 (-4³ = -64) (rational)
Two ninths of the 63 fish in the tank were angel fish. How many of the fish in the tank were not angel fish?
Answers
Answer:
49
Step-by-step explanation:
63 divided by 9 is 7
two ninths of 63 is 14
63 minus 14
49
please help! I will give brainliest
If the blueprint is drawn on the coordinate plane with vertices (1, 5) and (11, 15) for the corners labeled with red stars, would that be an accurate representation of the length of the diagonal of the square C? Show your work and explain your reasoning.
Answers
Yes that will be an accurate representation
Step-by-step explanation:
Since there is a right triangle so we know for a fact that these all all squares. All squares can be cut in half and the vertices will meet up
can you guys please help me with dis ill give you da crown da first one who answers
Answers
Hope u can see it : )
Help ASAP and answer correctly please!!!
Answers
Answer:
130 degrees
Step-by-step explanation:
7 and 2 are alike.
can someone help me on this , what does it mean by a zero ??
Answers
Answer:
The zero of a function is just a replacement for the variable that will make the answer = 0
What elements of a rectangular prism are needed to find its volume?
Answers
Answer:
Height Length And Width
Step-by-step explanation:
The formula for the volume of a retangular prisim is Volume=Length x Width x Height
Answer:
the answer is length width hieght
Step-by-step explanation:
HELLO! please answer and EXPLAIN for BRAINLEST!
Answers
Answer:
35
Step-by-step explanation:
see image
pls answer I will mark brainliest
Answers
Answer:
432 ft^2
Step-by-step explanation:
The formula for the area of a circle is A=pi*r^2. In this case, because 3 is pi, it's A=3*r^2. We have the diameter of the circle, but we need the radius. The radius is 1/2 the diameter, so it's 12. 12^2=144, and 144*3 is 432, so that's our answer.
Hope this helps!
Answer:
432 ft to the power of 2
Step-by-step explanation:
3x(12) to the power of 2
=3x144
=432 ft to the power of 2
Hope this helps!!
A weather forecast states that there is a 20% probability of rain on each of the next 3 days.
Complete the description of a simulation you could perform using random numbers to find the experimental probability that it will not rain on any of the next 3 days.
To simulate a 20% probability of rain over 3 days, let
of 10 numbers represent a day with rain. So,
of the numbers represent a day without rain. Then, perform multiple trials, generating
random numbers for each trial.
Answers
answer: The experimental probability that it will not rain on any pf the next 3 day is 64/125
The probability of raining is 20%
Hence, the probability that there will be no rain, is (100-20) = 80%
The probabilty that there is no rain on the first day is 80/100 = 4/5
Hence, the required probaility is (4/5)3 = 64/125
Circle the correct option: A, B, C, or D.
2. A square is divided in half to form 2 triangles. Which of the following triangles are not formed?
A Right triangles
B Triangles with no obtuse angles
C Isosceles triangles
D Equilateral triangles
Answers
Answer:
C,D
Step-by-step explanation:
19. A pet shop owner bought 320 leashes. 30% of these leashes were pink leashes and the rest were blue and green leashes. The number of blue leashes is 3 times the number of green leashes. How many blue leashes did she buy?
Answers
The number of the blue leashes will be 240.
What are linear equations?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
It is given that:-
A pet shop owner bought 320 leashes. 30% of these leashes were pink leashes and the rest were blue and green leashes.The number of blue leashes is 3 times the number of green leashes.The number of the blue leashes will be calculated as:-
L = 320
B + P + g = 320
{ (320 x 0.3 ) } + 0.7 ( B + g ) = 320
( 96 ) + ( 2.8g ) = 320
2.8g = 320 / 96
g = 222 / 2.8 = 80
Now B = 3 x g
B = 3 x 80
B = 240
Therefore the number of the blue leashes will be 240.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
answer 2 questions for brainiest thanks!
Answers
Answer:
9.D
because 2π/2=3.14
Square root of 121 is 11, 11-5=6
D. Square root of 6+3=5.45
10. A
[tex]14 ^{2} + 10 ^{2} = x ^{2} [/tex]
196+100=x²
x=17.2 which is A.
Don't forget about the brainlest, thanks!
10. 17.2 miles
PLs help !!!!! Find the area of the triangle
Answers
After being exposed to an electromagnetic shrinking machine, Joe's height decreased by 120m over 4 seconds. His height decreased by the same amount each second.How much did Joe's height change each second?
-30m
20 m
-124 m
100 m
Answers
It is given that Joe was being exposed to an electromagnet shrinking machine. Because of this his height started decreasing .
Given,
The decrease was at a constant rate per second.
In 1.5sec, the height is decreased by 120cm.
So,
Variation per second =
Change in each second would be with negative sign indicate's decrease .
Hence, Answer is “-80” .
Hope it's helpful to you.
Please mark as Brainliest answer.
HELP!! WILL MARK AS BRANLIST
Answers
Answer:
I think all of those are correct.
Step-by-step explanation:
Not sure on what you need help with...
If you are trying to look for exact specific answers, try using:
Quizlet
Chegg
MyStudy.Com
These will obviously give you the efficient answer.
Thank me later mate
49. Sketch the graph of the polar equation.
r=3 \cos \theta
Answers
Answer:
1.5
Step-by-step explanation:
r=2Rcosθ
(x-1.5）² y²=2.25
The centre of the circle is (1.5 , 0) The radius is 1.5