Answer:
A
Step-by-step explanation:
Max's house has two steps on
the front porch as shown. If each
step is the same size, what is the
total vertical distance covered by
the two steps
Given:
Max's house has two steps on the front porch.
Size of each step is the same.
To find:
The total vertical distance covered by the two steps.
Solution:
From the given figure, it is clear that,
Base length of each step = 6 in
Hypotenuse = 10 in
Let h be the vertical height of each step.
Using Pythagoras theorem, the vertical height of one step is
[tex]Base^2+Perpendicular^2=Hypotheuse^2[/tex]
[tex]6^2+h^2=10^2[/tex]
[tex]36+h^2=100[/tex]
[tex]h^2=100-36[/tex]
[tex]h^2=64[/tex]
Taking square root on both sides.
[tex]h=\pm\sqrt{64}[/tex]
[tex]h=\pm 8[/tex]
Height cannot be negative. So, h = 8 in.
Now,
Vertical height of 2 steps = [tex]2\times 8[/tex]
= [tex]16[/tex]
So, the total vertical distance covered by the two steps is 16 in.
Therefore, the correct option is A.
Interest can be the money paid by a bank to a consumer as compensation for keeping their money in that bank. Interest can also be the money paid to a bank for the use of their money.
Answer: See explanation
Step-by-step explanation:
You didn't really say what you want but the above statement is true.
Interest can be the money paid by a bank to a consumer as compensation for keeping their money in that bank. This is because when an individual or a company keeps some amount of money with a bank, an interest is paid on that money and the longer the time duration, the higher the interest paid.
Also, Interest can also be the money paid to a bank for the use of their money. When someone goes to the bank to collect a loan, the bank charges an interest on that amount borrowed. For example, if one borrows $10,000, an interest of let's say 8% may be charged for a 2 years loan. Therefore, the interest would be:
= $10000 × 8% × 2
= $1600.
Solve 5/2 x > 5. Graph the solution.
Answer:
x > 2
see photo
Please help me with this
Answer: 60 3/4 256
Step-by-step explanation:
I rlly need help! pleas help quick!
Answer:
2^9 or 512
Step-by-step explanation:
Answer:
2 to the power of 8 times 2 is 512.
Step-by-step explanation:
PLS HELP ME ON MY DIAGNOSTIC!!!
Let the original price = x
He paid 70% of the original price so 0.70x
This equaled $14:
SO the equation is 0.70x = 14
Solve for x by dividing both sides by 0.70:
x = 14/0.70
x = 20
The original price was $20
Answer:
Let the original price be x.
Joe paid $14.00 for a board game which is the 70% of the original price.
Therefore, the original price is
[tex]70\% \: of \: x = 14 \\ \frac{70}{100}x = 14 \\ x = \frac{14 \times 100}{70} \\ \boxed{ x = 20}[/tex]
$20.00 is the right answer.help please thank you
Answer:
2000
Step-by-step explanation:
1km=1000m
2km=2000m
help will mark you Brainliest
Answer:
6.6 inches
Step-by-step explanation:
solve log(x-1) + 5x=2
Answer: x= 1/2
Step-by-step explanation:
Hi I really need help ♂️
Answer:
1. 25%
2. 33.33%
3. -60%
4. 9.09%
Step-by-step explanation:
1. 5 - 4 = 1
1/4 = 0.25 = 25%
2. 100 - 75 = 25
25/75 = 0.3333 = 33.33%
3. 2 - 5 = -3
-3/5 = -0.6 = -60%
4. 24 - 22 = 2
2/22 = 0.0909 = 9.09%
In baseball the distance from the pitcher's mound to home plate is exactly 60 feet and 6 inches. If a pitcher throws a baseball with a speed of 95.0 mph, then how long is the ball in flight (in seconds)
Answer:
0.434 seconds
Step-by-step explanation:
Distance = 60 feets 6 inches
Speed of baseball = 95mph
Time taken : distance / speed
6 inches = 0.5 feets
60 feet 6 inches = 60.5 feets
Convert 60 feet 6 inches to miles
1 mile = 5280 feets
x = 60.5 feets
5280x = 60.5
x = 60.5 / 5280
x = 0.0114583 miles
Hence,
60.5 feets = 0.0114583 miles
Hence,
Time taken = 0.0114583 miles / 95 mph
Time taken = 0.0001206 hour
Converting to seconds :
0.0001206 * 3600
= 0.4342105 seconds
0.434 seconds
HURRY PLEASE I BARELY HAVE ANY TIME
what is the solution to the system of equations?
Answer:
maybe 3...............................
Help please if you could answer this question then tysm
2x - 9 is the algebraic notation.
Hope it helps!
Please mark brainliest!
Answer:
2x-9 is answer by using algebric notation. i think
which expression can have a remainder greater than 7?
Answer:
Step-by-step explanation:
The expression 4,337 ÷ 9 has a remainder of 9 which is greater than 7.
Answer:
Step-by step explanation:
2519 when divided by 10 leaves a remainder 9
how do you solve for imaginary numbers?
Answer:
You don’t
Step-by-step explanation:
Answer:I blessed and gotchu right.
Step-by-step explanation:
PLEASE HELP,!! HURRY!!!!! 40 points!!!
which word best describes the degree of overlap between the two data sets?
Low
None
Moderate
High
Answer:
moderate since the lines are similar
A bucket was 4/7 of the way
full after 4/3 of a minute. How
many minutes will it take
to fill up the bucket?
Answer:
2 1/3 minutes
Step-by-step explanation:
4/3 minute = 80 seconds
80/4 (from 4/7) =
20 seconds per 1/7
20 * 7 = 140
140 to minutes = 2minutes and 20 sec or 2 1/3 minutes
The sum of a number and ten
Answer: 10+x
Step-by-step explanation:
Let x be a number. Sum is addition, so 10+x
Solve for X
-12=12x+36
Answer: -4
Step-by-step explanation:
Subtract 36 by both sides (-12 - 36 = -48)
Now we have 12x = -48
Divide 12 by both sides. -48 / 12 equals -4
Answer:
Step-by-step explanation:
x= -2
jorge runs 3 miles in 36 minutes what is the unit rate of minutes per hour
Answer:
108
Step-by-step explanation:
3 x 36=108
Answerrr ASAPPP PLSSS
Answer: 3^4x5^2
Step-by-step explanation:
Find the greatest common factor gcf of the set of numbers (27,36,45
WILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS THIS CORRECTLY!!
Jack reads 7 pages every 15 minutes. Determine his unit rate in pages per hour. Explain your
answer.
Trudy's bill for lunch at a restaurant was $99. She left a 15% tip. What was the amount of
the tip?
Answer: $14.85
Step-by-step explanation: $99x.15= $14.85
There are 45 female performers in a dance recital. The ratio of men to women is 7:9. How many men are in the dance recital? There are _____ men in the dance recital.
Answer:
35 men
Step-by-step explanation:
To solve, you can divide 45/9 which you get 5. After you get 5, multiply that by 7 and you get 35. Hope this helps
George has x books while Kilonzo has three more books than him.Kezia has t books and Edna one less than Kenza.How many books do they have altogether
Answer:
8x-4 they have altogether
Step-by-step explanation:
6x-7+2x+3=8x-4
Awarding 90 Points
The 12th term of an arithmetic series is 62.
The 20th term of the series is 102.
Find the sum of the first 20 terms of this arithmetic series.
Answer:
1090Step-by-step explanation:
Given AP a₁₂ = 62a₂₀ = 102To findS₂₀Solutiona₁₂ = a + 11d = 62a₂₀ = a + 19d = 102Subtract the first equation from the second one:
8d = 40 d = 5Find a:
a + 11*5 = 62a = 62 - 55a = 7Find the sum of the first 20 terms:
S₂₀ = 1/2*20(a + a₂₀) = 10(7 + 102) = 10(109)= 1090-1859/16= -7(33/8x - 7/4) + 3/2
Answer:
x= 9/2
Step-by-step explanation:
Please help in these two questions!
1. A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800lb of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
2. a confectioner mixes forty liters of 60% sugar syrup with a 10% sugar syrup to make a 20% sugar syrup. how much of the 10% syrup should she use?
Answer:
Number 1:3.75 gallons
Step-by-step explanation:
It's too late but why not,
also i'm too lazy to write how i got it
1. 320 and 480
2. 160 Liters
ok bye
Need help please god will bless you
Answer:
m∠I = 45.2°
Step-by-step explanation:
From the picture attached,
By applying cosine rule in in ΔHIJ,
Cos(∠I) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{JI}{HI}[/tex]
= [tex]\frac{62}{88}[/tex]
m∠I = [tex]cos^{-1}(\frac{62}{88})[/tex]
= 45.21
= 45.2°
Therefore, 45.2° will be the correct option.
