Answers
Answer:
[tex]A) 22.5cm[/tex]
Step-by-step explanation:
[tex]\frac{AB}{BC} =\frac{FG}{GH}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x} [cross ~multiply][/tex]
⇒ [tex]9x=202.5[/tex]
⇒[tex]\frac{9x}{9} =\frac{202.5}{9} ~[divide~both ~sides~by ~9][/tex]
⇒ [tex]x=22.5[/tex]
------------------------
hope it helps...
have a great day!!
Related Questions
In the equation y = 3x – 1, what is the value of y when x equals –3?
A. 10
B. 8
C. –1
D. –10
Answers
Answer:
D. –10
Step-by-step explanation:
Given equation:
y = 3x – 1
what is the value of y when x equals –3?
Substitute x = -3 into the equation to find y
y = 3x – 1
= 3(-3) - 1
= -9 - 1
= -10
y = -10
The correct answer is D. –10
Answer:
D).
Step-by-step explanation:
I took the test.
On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios.
Answers
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
Which of the following are equations for the line shown below? Check all that
apply.
(-3,6)
(-2,2)
5
O A. y-2=-4(x + 2)
U
B. y + 3 = -4(x-6)
O C. y-6 = -4(x + 3)
D. y=-4x-6
Answers
Answer:
D. y = -4x - 6
Step-by-step explanation:
→ Work out gradient of line
[tex]\frac{2-6}{-2--3} =\frac{-4}{1} =-4[/tex]
→ Write into y = mx + c format
y = -4x + c
→ Substitute ( -2 , 2 ) into the equation to find c
2 = 8 + c
→ Minus 8 from both sides
-6 = c
→ Write full equation y = -4x - 6
Which expression is equivalent to “the fifth power of (5 + 7)
Answers
Answer:
(5+7)^5
12^5
12*12*12*12*12
248832
Step-by-step explanation:
12 x 12 x 12 x 12 x 12
The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10
1. What is the MEAN age of the children in your neighborhood playschool?
Answers
Answer:
Hi there, the correct answer should be...
The mean age of the children is 5.
Step-by-step explanation:
mean:average
1 + 5 + 4 + 8 + 2 + 5 + 10 = 35
35 ÷ 7 = 5
I need help on this one help hurry
Answers
Answer:
;;6
Step-by-step explanation:
56 5
Workers at a truck factory load 4 trucks onto a train for delivery to a customer. Each truck weighs 5,469'pounds. What is the total weight of the 4 trucks?
Answers
Answer: $21,876
Step-by-step explanation:
There are 4 trucks being transported. Each of those trucks weigh 5,469 pounds.
The total weight of all four trucks would be:
= weight of one truck * number of trucks
= 5,469 * 4
= $21,876
Help out please and thank you
Answers
Answer:
x = -8
Step-by-step explanation:
x + 6y = 16
→ Substitute in y = 4
x + 24 = 16
→ Minus 24 from both sides
x = -8
Which number is rational
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{81}[/tex] is the rational number because it is the perfect square of 9.
Write an equation in the form y = ax2 + bx + c if the roots are x=8+√105 /-10
Answers
Answer:
y = a8×2+b√105+c
hope helps you
have a nice day
I don't understand this problem
Answers
Note: 1.8 = 9/5
===========================================================
Explanation:
This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).
For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.
We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.
The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%
---------------------------------
Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.
The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5
The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately
We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.
---------------------------------
The fractional answer to the first section was 1/25. Let A = 1/25
The fractional answer to the second section was 1/45. Let B = 1/45
A and B are the probabilities for "replacement" vs "no replacement" in that order.
Your teacher wants to know how many times greater the value of A is compared to B.
In symbols, your teacher wants to know the value of k in the equation A = Bk
So...
A = Bk
1/25 = (1/45)k
1/25 = k/45
1*45 = 25*k
45 = 25k
25k = 45
k = 45/25
k = (9*5)/(5*5)
k = 9/5
k = 1.8
Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.
The value of A is 1.8 times greater compared to the value of B.
2 A marathon race is 42 195 m in length. The world record in 2016 was
2 hours, 2 minutes and 57 seconds held by Dennis Kimetto of Kenya.
a How many seconds in total did Kimetto take to complete the race?
b Calculate his average speed in m/s for the race, giving your answer to
2 decimal places.
c What average speed would the runner need to maintain to complete
the marathon in under two hours?
Answers
Answer:
A. 7377 s
B. 5.72 m/s
C. 5.86 m/s
Step-by-step explanation:
A. Determination of the time in second.
Time (t) = 2 hours, 2 minutes and 57 seconds
We'll begin by converting 2 hours to seconds. This can be obtained as follow:
1 hour = 3600 s
Therefore,
2 hour = 2 hours × 3600 s / 1 hour
2 hours = 7200 s
Next, we shall convert 2 mins to seconds. This can be obtained as follow:
1 min = 60 s
Therefore,
2 mins = 2 mins × 60 s / 1 min
2 mins = 120 s
Finally, we shall determine the total time in second. This can be obtained as follow:
2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s
= 7377 s
Therefore, the total time in second is 7377 s
B. Determination of the average speed.
Total distance = 42195 m
Total time = 7377 s
Average speed =?
Average speed = Total distance / total time
Average speed = 42195 / 7377
Average speed = 5.72 m/s
Therefore, the average speed is 5.72 m/s
C. Determination of the average speed.
We'll begin by converting 2 hours to seconds. This can be obtained as follow:
1 hour = 3600 s
Therefore,
2 hour = 2 hours × 3600 s / 1 hour
2 hours = 7200 s
Finally, we shall determine the average speed. This can be obtained as follow:
Total distance = 42195 m
Total time = 7200 s
Average speed =?
Average speed = Total distance / total time
Average speed = 42195 / 7200
Average speed = 5.86 m/s
Therefore, the average speed is 5.86 m/s.
Write the ratio as a fraction in simplest form.
1. 8 to 14
2. 36 even : 12 odd
3. 42 vanilla to 48 chocolate
Find the unit rate.
4. $2.50 for 5 ounces
5. 15 degrees in 2 hours
6. 183 miles in 3 hours
What is the answer to all these questions?
Answers
1. 4 to 7
2. 3 even : 1 odd
3. 6 vanilla to 8 chocolate
30 students in a class went on a trip to the other side of the city. There were 4 vans for the
students to take. 6 students walked. How many students could fit in each van?
Answers
Answer:
6
Step-by-step explanation:
30-6=24
(6 people walked which means they are not included in the people fitting on the busses)
24/4=6
(from there you need to divide by 4 to tell how many were on each bus.)
What are the steps to solving the equation 3/8x+15/2=18
Answers
Answer
x = 28
Explanation
3/8x + 15/2 = 18
Step 1. Subtract 15/2 from both sides
3/8x = 15/2 - 15/2 = 18 - 15/2
3/8x = 21/2
Step 2. Multiply both sides by 8/3
(8/3) * (3/8x) = (8/3) * (21/2)
Step 3. Answer
Therefore x is 28.
complete the inequality for this graph acellus
Answers
Answer:
[tex]y < x + 1[/tex]
Step-by-step explanation:
ùr ãñswer høpe it helps you...A model of a sailboat is 3 inches wide and 12 inches high. If the actual sailboat is 9 feet wide, what is the height?
Answers
Answer:
36 FEET
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
scale = 9 / 3 = 3
1 inch : 3 feet
Actual height = 12 x 3 = 36
Do not scam or u get a report i need help so please
Answers
Answer:
0.35 each
Step-by-step explanation:
Help me please, I have beeen trying to figure this out but I can’t
Answers
Answer:
M and N
Step-by-step explanation:
Help
Help
Helppppppppp
Help
Help
Help
Answers
Answer:
164 Cm^3
Step-by-step explanation:
Solution
V=
3
3
2
a
2
h
=
3
3
2
3
2
7
≈
163.6788
Help please I’ve searched all Brainly and didn’t find a help for this
Answers
Answer: 8 inches by 6 inches
Step-by-step explanation:
0.297297297..... convert into fraction
Answers
Answer:
11/37
297/999
three 9's in the denominator because there are three repeating numbers.
then reduce the fraction. divide each by 27 so 11/37
what is the length of the right triangle below in inches?
Answers
Answer:
6in
Step-by-step explanation:
Using the pythagerous thereom,
10^2 = 8^2 + b^2
b^2 = 10^2-8^2
b^2 = 100-64
b^2 = 36
b = 6
Feel free to mark this as brainliest :D
Answer:
6
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
?^2 + 8^2 = 10^2
?^2 +64 = 100
?^2 = 100-64
?^2 = 36
Take the square root of each side
? = sqrt(36)
?= 6
Find the value of x. If necessary, round your answer to the nearest tenth.
The figure is not drawn to scale.
Answers
Answer:
69°
Step-by-step explanation:
Vertical Angles theorem states that any two opposite angles formed by two intersecting lines are the same.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What are the coordinates for point A?
Answers
Answer:
they are (3,4)
Step-by-step explanation:
Round 0.10947 to the nearest hundredths place.
Answers
Answer:
0.11
Step-by-step explanation:
The number is 0.10947. So, to round to the nearest hundredth you’d take the number behind the number in the hundreds place, 0, and if it’s 5 or higher that number would go up. Since the number behind 0 is 9 which is higher than 5 that 0 would become a 1. Giving you 0.11!
Hope this helps, good luck! :)
Simplify 12(A - B).
I don’t understand?
Answers
Answer:
12A-12B
Step-by-step explanation:
In the parentheses, it is A-B. Using the distributive property you break up the parentheses then you have 12xA - 12xB. This is known as the "Santa Hat". The lines mean that you do each function to each constant, variable, or term.
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.
Answers
Answer:
[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]
[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]
Therefore original price = $580,000
Someone help now please ASAP! What’s the volume of the prism in the image?
Answers
Answer:
40 cubes or cubic inches or whatever measurement the problem is using
Use pythagorean theorem to find perimeter
Answers
Answer:
36
Step-by-step explanation:
Counting the squares: base = 12, height = 9.
We will use pythagorean theorem to find the third side.
Let it be x.
So,
[tex]x^2 = 12^2 + 9^2\\x^2 = 144 + 8 1 = 225\\x = 15[/tex]
Perimeter of triangle = sum lengths of all sides
= 12 + 9 + 15
= 36 units