Answer:
9
Step-by-step explanation:
Since the triangles are clearly indentical, the ratio of their lenghts is constant
12/18 = x/13.5
x = 2/3 * 13.5
x = 27/3
x = 9
Answer:
9
Step-by-step explanation
ΔABC and ΔDEF are similar
∴ [tex]\frac{AC}{DE}[/tex] = [tex]\frac{AB}{EF}[/tex]
∴ [tex]\frac{12}{18}[/tex] = [tex]\frac{AB}{13.5}[/tex] = [tex]\frac{2}{3}[/tex]
∴ AB = [tex]\frac{2}{3}[/tex] × 13.5 = 9
A 9 foot flagpole cast a shadow 6 feet long, and at the same time a nearby tree cast a shadow 14 feet long. What is x the hight of the tree.
The height of the nearby tree is 21 feet.
What is proportion?
Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole.
According to the problem,
Height of the flagpole = 9 feet
Length of the shadow = 6 feet
Length of the shadow cast by the tree = 14 feet
Let the height of the tree be x,
Since they cast aa shadow at the same time nearby, If we set up a proportion,
⇒ [tex]\frac{9}{6}[/tex] = [tex]\frac{x}{14}[/tex]
⇒ 6x = 126
⇒ x = [tex]\frac{126}{6}[/tex]
⇒ x = 21 feet
Hence, we can conclude, the height of the shadow is 21 feet.
Learn more about proportions here:
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I NEED HELP PLZ AND THANK YOU
Answer:
whats your question?
Step-by-step explanation:
find the area of the shaded region.
Answer:
its C
Step-by-step explanation:
Please answer these 2 questions correctly and ASAP!! I need them done today.
Answer:27 to the power of 3
Step-by-step explanation:
By coincidence, Bert's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 4 liter containers while blue paint is sold in containers of 8 liter containers. What is the smallest amount of each paint color the store must have sold?
Please answer if you see this
Holly works as a consultant who earns a weekly salary, plus an amount every hour she works. If her total earnings are represented by (y) for (x) total hours worked in the table below, how much does she earn per hour?
5:450
6:480
7:510
8:540
She earns a total of $30 per extra hour of her work.
What is direct variation?Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -
y = Kx
K = y/x
where -
{K} is scale factor.
Given is that Holly works as a consultant who earns a weekly salary, plus an amount every hour she works. If her total earnings are represented by (y) for (x) total hours worked in the table below -
Hours: 5 6 7 8
Amount : 450 480 510 540
We can write the unit rate as -
r = (480 - 450)/(6 - 5)
r = 30/1
r = 30
Therefore, she earns a total of $30 per extra hour of her work.
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What is the simple interest of $628, 5%, 4 months?
Answer:
129.6
Step-by-step explanation:
Answer:129.5
Step-by-step explanation:
Four cars are driving down the road, each at a constant speed.
Car A drives 6 miles in 8 minutes
Car B drives 7 miles in 10 minutes
Car C drives 10 miles in 12 minutes
Car D drives 12 miles in 15 minutes
Which car is driving the fastest?
A. Car A
B. Car B
C. Car C
D. Car D
Answer:
Step-by-step explanation:
D:Car D
Answer:
Car a is it...
Step-by-step explanation:
Chapter 1 in Henry's book is 6 1/2 pages long. Chapter 2 is 8 2/3 pages long. How many pages are Chapter 1 and Chapter 2 altogether? How much longer is Chapter 2 than Chapter 1
C
=
5
9
(
F
−
32
)
The equation above shows how temperature
F
, measured in degrees Fahrenheit, relates to a temperature
C
, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Help please I’ll give brainliest if there’s evidence
Answer
the answer is C
Step-by-step explanation:
Answer:
answer is a
Step-by-step explanation:
7a-8= -1-12=-13+4=-9
last on thanks for staying
Answer:
5.4 times 0.085 equals 0.495
Step-by-step explanation:
Answer: It equals 0.459
Work: I did 5.4 x 0.085, and moved some decimal points, and solved via paper, and I had gotten 0.459.
I hope this helps, and Happy Holidays! :)
PLEASE HELP What is the range of possible sizes for side x?
HEELPPEEPPPPPPPP! please and thank you .
Answer:
Answer is number b) corresponding angles
because one angle is inside the transversal and another is outside the transversal . They are lying in same side of transversal .
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is the population this year? (Consider using a tape diagram)
Answer: This population, the population is 45 fish.
Step-by-step explanation: This problem can be solved by a rule of three. Last year there were 60 fish in the lake. That was 100, that is, decimal 1. This year it decreased by 25%. So there 100%-25% = 75%, that is decimal 0.75. So 60 fish - 1 x fish - 0.75. This population, the population is 45 fish.
does anybody know the answer to this?
Answer:
Step-by-step explanation:
I'm sorry I need points God bless u
For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day?
–30 minutes - This the answer guys if rong sorry
–11 minutes
11 minutes
30 minutes
Also mark me brainly please!
Answer:
I believe its 30
Step-by-step explanation:
because he studied for five minutes the first day and then added five minutes per day for 6 days so i think its 30
mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
a. by how much will masons rent increase next year?
b. what will be masons new rent per month, next year?
Answer: $445.50
hopes this is good for you
Answer:
$445.50
Step-by-step explanation:
hope this helps
1. in the equation 80 divided by 10 = 8, the number is the blank
2. the number used to divide another number is the blank
3. the result of dividing two numbers is the blank
In the given equation the dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.
Given-
In the given problem, the equation eighty divided by ten and result is eight. Mathematically,
[tex]\dfrac{80}{10}=8[/tex]
1-The number which is divided- Dividend is the whole number which has to be divide into the parts. In the given equation the number which has to be divide is eighty. Hence the dividend number is eighty.
2-Divide by another number- Divide by another number means that it doesn't have any reminder. As in the given equation the number ten is used to divide the number eighty. Hence In this case the number used to divide another number is ten.
3-The result of dividing two number is- The result of the two dividing number is the number which is resulting from the division of one number by the another number and known as quotient. In the given equation the result of the two number after division is eight. Hence the result of the dividing two number is eight.
Hence, In the given equation the dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.
For more about the division follow the link below-
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can someone help pls
Answer:
the answer is -2 :)
Holt drove 99 kilometers with 9 liters of gas. How many kilometers can he drive with 12 liters of gas?
A) 90 km
B) 132 km
C) 74.25 km
D) 87 km
Answer:
The answer is B
Step-by-step explanation:
If 9 liters of gas got the car to drive 99 km then 12 liters would get the car to go more than 99 leaving 132 the only one
Please look at the attached image. Really need Help!! Who ever find answer first will get brainily.
Answer:
The answer is...
Step-by-step explanation:
wait what is the options
Y = i/2 represents a proportional relationship?
If you rent a canoe for 3 hours, you will pay $45.
you pay 10 dollars for each hour
Answer:
You pay an initial amount of money which is $15
Answer:
you will pay $15
Step-by-step explanation:
the reason why its 15 is because
if you rent a canoe for 3 hoursyou have to pay $45and you pay $10 for each hour15 x 3 = 45So you will pay $15 for the canoe ride
mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
a. by how much will masons rent increase next year?
b. what will be masons new rent per month, next year?mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
a. by how much will masons rent increase next year?
b. what will be masons new rent per month, next year?
Answer:
a. Mason's rent will increase by $302.40 next year.
b. Mason's new rent per month next year will be $445.20.
Step-by-step explanation:
The first question is asking us how much Mason's rent will increase next year.
If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:
[tex]420* 12=[/tex]
[tex]5040[/tex]
Therefore, Mason is currently paying $5040 a year.
With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.
6% means 6 per cent/hundred, so it can be represented as:
[tex]\frac{6}{100}[/tex]
The fraction [tex]\frac{6}{100}[/tex] can be represented as (we're two places behind the decimal, in the hundredths place):
[tex]0.06[/tex]
Now, multiply the decimal form of 6% by $5040:
[tex]0.06*5040=[/tex]
[tex]302.40[/tex]
Therefore, Mason's rent will increase by $302.40 next year.
-
To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:
[tex]302.40[/tex] ÷ [tex]12=[/tex]
[tex]25.20[/tex]
Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:
[tex]420+25.20=[/tex]
[tex]445.20[/tex]
Therefore, Mason's new rent per month next year will be $445.20.
A soccer field has a width of x and a length of x + 40. If the perimeter of the field is 240 yards. Write and solve an equation for the given scenario to find the length and width of the field.
I will give brainlist if you give me step by step
Answer:
x = 40
Step-by-step explanation:
We can solve this by taking the width and length that we're given, and put them into an equation for the perimeter of the soccer field.
The perimeter of a rectangle can be defined as 2l + 2w, so let's solve it using that:
[tex]p = 2l + 2w\\240 = 2(x + 40) + 2(x)\\240 = 2x + 80 + 2x\\240 - 80 = 4x\\4x = 160\\x = 40[/tex]
Chase and Zane are both driving to see their grandmothers. Zane has to drive 50 miles and will travel approximately 45 miles per hour. Chase has to travel 60 miles and will travel approximately 55 miles per hour. Who will reach their destination first.
Answer:
chase
Step-by-step explanation:
it will take him less time
Pls help me with this
Answer:
i think its C!
Step-by-step explanation:
hope this helped! <3 =)
HELP ill mark brainliest for first person
Answer:
47 if not
Step-by-step explanation:
srooy i'm only 6
For every 5 hours that he works, Andre is paid $60.20.
Use this information to complete the table.
Hours 1 2 3 4 5
Amount ($) , , , ,
Answer:
Hour 1 - $60.20
Hour 2 - $120.4
Hour 3 - $180.6
Hour 4 - $240.8
Hour 5 - $301