Answers
Answer:
h = 6, k = 6.5
Step-by-step explanation:
The segment marked h is half the length of the one marked 3h-6.
2h = 3h -6
6 = h . . . . . . . add 6-2h
__
The segment marked k is half the length of the one marked 2h+1.
2k = 2(6) +1
k = 13/2 = 6.5 . . . . divide by 2
The values of h and k are 6 and 6.5, respectively.
Related Questions
The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?
Answers
Answer:
Step-by-step explanation:
length * width * height = 1050 cubic ft
(10x + 5)* (2x -1) * (x +3) = 1050
(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)
= 10x*2x - 10x*1 + 5*2x - 1*5
= 20x² - 10x + 10x - 5 = 20x² - 5
(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)
=20x²*(x +3) - 5*(x +3)
= 20x³ + 60x² - 5x - 15
20x³ + 60x² - 5x - 15 = 1050
20x³ + 60x² - 5x - 15 - 1050 = 0
20x³ + 60x² - 5x - 1065 = 0
By trial and error method , (x -3 ) is a factor
Synthetic method:
3 ( 20 60 -5 -1065
( 60 360 1065
20 120 355 0
20x² + 120x + 355 = 0
Divide the equation by 5
4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.
So, value of x = 3
height = 3+ 3 = 6 ft
Length = 10*3 + 5 = 30 + 5 = 35ft
Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft
Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft
HELPPPPPP PLSSSSSSSSS
Answers
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Given, ∠POR=120
o
Hence, ∠POR=2∠PQR (half angle property)
∠PQR=
2
1
×120
o
=60
o
PQRS is a cyclic quadrilateral
∴∠PQR+∠PSR=180
o
∠PSR=180−60
∠PSR=120
o
How many times larger is 8 X 10^5 than 2 X 10^3
Answers
Answer:
798,000
Step-by-step explanation:
Simplify all the exponents
8×10^5
=8×100,000
=800,000
2×10^3
=2×1,000
=2,000
Difference=800,000-2,000
=798,000
Oliver is 6 more than twice as old as Sam. If Oliver is 21 how old is Sam?
Write an equation to represent the situation.
Answers
Answer:
7.5
Step-by-step explanation:
Lets give Oliver "O", and Sam "S".
O is 6 more than twice as old as Sam
O = 2S + 6
Since Oliver is 21, we can substitute it in
21 = 2S + 6
2S = 15
S = 7.5
PLEASE HELP ASAPPPPPP
Answers
Answer:
150 miles/ per hour
Step-by-step explanation:
because it's per hour you find the 1
go up the one and you can see it's halfway between 100 and 200
so 150 m/hour
james has a rope that is 7 1/2 meters in length. He must cut the rope into 1/2 meter strips for a home improvement project he is working on. How many 1/2 meter strips can he cut?
Answers
Answer:
He can cut 15 1/2 meter strips.
Step-by-step explanation:
10 1/2 meter strips are 5 meters in length.
5 1/2 meter strips are 2.5 meters in length.
5 + 2.5 = 7.5 meters in length
please full calculation
Answers
b = -3
c = 1
d = 3
bob's tire outlet sold a record number of tires last month . one salesman sold 165 tires
which was 60% of the tires sold in the month what was the record number of tires sold
Answers
Answer: 275 tires
Step-by-step explanation:
0.60X = 165 [One salesman sold 60% of the tires sold. X is the tires total sold]
X = 275 tires
Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?
Bernard ate a little less than One-half of the pizza.
Bernard ate a little more than One-half of the pizza.
Bernard ate a little less than Two-thirds of the pizza.
Bernard ate a little more than Two-thirds of the pizza.
Answers
Answer:
B.
Step-by-step explanation:
.
True or False: The U.S. Bureau of the Census provides information that is useful for defining the denominator in rates.
Answers
Answer:
True
Step-by-step explanation:
simplify -9 with an exponent of -3
Answers
step by step
neg exponent mean u flip so it would be 1/-9^3
then u solve -9^3 which is -729
1/-728
Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
Answers
Answer:
y = - 4 x + 20
Step-by-step explanation:
The trail is 20 miles
Each hour you go 4 miles, so you subtract that each hour
is 540 or 630 closest to 594
Answers
Answer:
630
Step-by-step explanation:
630 - 594 = 36
594 - 540 = 54
630 is closest to 594
Answer:
630 is closer
Step-by-step explanation:
The number of units separating 540 and 594 is 54; that separating 594 and 630 is 36. So 630 is closer to 594.
solve pls brainliest
Answers
because its cubed
Answer:
64in
Step-by-step explanation:
v=L×W×H
= 4×4×4
= 16 ×4
= 64in²
Sandra has designed this open container. The height of the container is 35 cm.
(a) The cross section of the container is given below. Find the area of the following figure.
Answers
Answer:
329.87cm2
Step-by-step explanation:
Actually include the question next time.
Full Bottom Is semi circle.. find the area of the semicircle that's A1...
Then find the area of the smaller circle marked in red.. that's A2...
Then A1 - A2 will give you bottom area...
Now move to top one... Top one is a semi circle.. find its area A3...
So add both A3 with A1-A2...
Total will give the area of the shape
The area of the cross-section of the container will be 329.87 cm²
To determine the area of the cross-section of the open container, we need to find the area of the semicircle and add them up.
Area of the container:
Area = (2π r²) + (2πrh)
We are Given, the diameter are 17.5 cm and 6.5 cm respectively.
Diameter of the complete circle will be;
(17.5 + 6.5) =24.0
Area of complete circle is π x( 12)²
452.16 cm²
Therefore, the area of the circle A is (π x( 17.5/2)²
= 240.40 cm² (approx).
Therefore, the area of the circle B is (π x( 6.5/2)²
= 33.166
Total area of circle = 452.16 cm² - 33.166
Area = (452.16 cm² - 33.166 cm² ) + (2x 3.14 x 12 x 35)
Area = 329.87 cm²
Learn more about the area;
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What is the answer to 4y/y?
Answers
Answer:
4
Step-by-step explanation:
[tex]\frac{4y}{y}[/tex] = 4 because the variable y on the numerator and the denominator can cancel out.
A family wants to build a pen for their new puppy. They want the area of the pen to be more than 225 square feet.
If the width of the pen is 25 feet, what is the set of possible lengths for the pen?
Answers
The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet
InequalityIn Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions
Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.
Assuming the pen is rectangular in shape;
A = L * W
L * 25 > 225
25L > 225
solving for L
L > 225/25
L > 9
The possible lengths for the pen are values greater than 9
Learn more on inequality here;
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Can somebody help me with my Geometry?
Answers
Answer:
∠KJL = 45°
∠x=45°
∠DBC=67.47°
Step-by-step explanation:
x+x=90
2x=90
x=45°
Answer: there you go
Step-by-step explanation:
James is going on vacation for 9 days. William is going on vacation for 6 times as long. How long is William going on vacation?
Group of answer choices:
William is going on vacation for 36 days.
William is going on vacation for 45 days.
William is going on vacation for 54 days.
William is going on vacation for 63 days.
Answers
Answer:
William is going on vacation for 54 days
Step-by-step explanation:
Answer:
C) William is going on vacation for 54 days
Step-by-step explanation:
We know that James is going on vacation for 9 days. We also know that William goes on vacation for 6 *times* as long. What this means is that we are answering 9 times 6, which is 54
Find the slope between the following points. Make sure you simplify!!:
(-5, 8) and (-11,8)
Answers
Answer:
0
Step-by-step explanation:
use the slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
(-5, 8); -5 is x1 and 8 is y1
(-11, 8); -11 is x2 and 8 is y2
Plugin the numbers and solve.
[tex]m = \frac{8 - 8}{ - 11 - - 5 } \\ \\ m = \frac{8 - 8}{ - 11 \ + 5} \\ \\ m = \frac{0}{ - 6} \\ \\ m = 0[/tex]
GEOMETRY PROOFS!
Given: AB ≅ DB; AC ≅ DC
Prove: ABC ≅ DBC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
Answers
Given that
In ∆ ABD , AB = BD------(1)
=> Angle B = Angle D
Since the angles opposite to equal sides are equal.
=> Angle A = Angle D
and
BC bisects Angle B
=> Angle BCA = Angle CDB ----(2)
And
BC = BC (Reflexive Property) -----(3)
From Eqⁿ(1),(2)&(3) we have
BA = BD
< ABC = BCD
BC = BC ( Common Side)
Therefore, ∆ ABC =~ ∆ DBC
by SAS property
Hence, proved.
Additional comment:
The angles opposite to equal sides are equal.In two triangles , the two sides and the included angle of the first triangle are equal to the corresponding two sides and the included angle in the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.CPCT - Corresponding parts in the Congruent triangles are equal.Angle bisector divides the angle into two equal parts.The sum of two adajacent angles is 180° they are called Linear Pair.also read similar questions:Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC..
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given: AB ≈ DC ; AC ≈ DB PROVE: ABC ≈ DCB THE DIAGRAM SHOWS A 2 COLUM PROOF. ORDER THE REASONS SHOWN IN THE LIST TO MATCH THE STATEMENTS ......
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2x-3=13 Solve x and explain
Answers
Answer: x=8
Step-by-step explanation:
2x-3=13
Add 3 on both sides.
2x=16
Divide both sides by 2.
x=8.
So, x=8 is your final answer.
If you want me to explain why you subtract or the both side rule, just ask!
Hope this helps. :)
Here you go ☺️ I NEED HELP SO HELP PLS
Answers
Answer:
the information above is not suffi
Step-by-step explanation:
hope it helps if wrong sorry
Answer:
The median height for tree 1 is greater.
Step-by-step explanation:
The height of tree 1 is greater therefore I believe the median will also be greater. I hope this helps.
1) A butcher has an annual income of $58,612. The income tax the butcher has to pay is 7%. What is the amount of income tax in dollar and cents the butcher has to pay? A) $3,108.53 B) $3,712.66 C) $4,102.84 D) $4,364.79
Answers
Answer:
C. $4,102.84
The amount of income tax in dollars and cents the butcher has to pay if A butcher has an annual income of $58,612 is $4102.84 so, option C is correct.
What is the percentage?The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
A butcher has an annual income of $58,612,
The tax = 7%,
Calculate the amount of the tax as shown below,
The amount of the tax = 7% of $58,612
The amount of the tax = 7 / 100 × 58612
The amount of the tax = 0.07 × 58612
The amount of the tax = 4102.84
Thus, the amount of tax is $4102.84.
To know more about percentages:
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If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?
Answers
Answer:
2:4 or simplify and get 1:2
Step-by-step explanation:
2 tsp. of oil every 4 cups of flour.
The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.
Answers
Answer:
At 0 hours, there are 100 grams of the substance remaining.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I just did it on ed
what is twin prime ?
Answers
Answer:
A twin prime is a prime number that is either 2 less or 2 more than another prime number
1. find each measure
Answers
Answer:
x=9.. 5 x 9 =45.. 45-17=28, 3 x 9 = 27.. 27+1 is 28
Step-by-step explanation:
28 is the answerr
Describe the solutions in words to the inequality 4 < c + 2
A. All real numbers greater than 4
B. All real numbers less than 2
C. All real numbers less than 4
D. All real numbers greater than 2
Answers
Answer:
All real numbers are greater than four
Step-by-step explanation:
4+2=6
1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true?
A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly.
B At least one of the rain gauges has exactly 1.8 centimeters of water.
C All of the rain gauges have 1.8 centimeters of water.
Answers
Answer:
I think it's B.
Step-by-step explanation:
:)