Answers
Answer:
[tex]\sqrt{51}[/tex] or 7.14
Step-by-step explanation:
Using the Pythagoras theorem, we can conclude the formula that we are going to use here is [tex]a^{2}+b^{2} = c^{2}[/tex]
As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or [tex]c[/tex]
Now we need to find [tex]b[/tex] in the formula of [tex]a^{2}+b^{2} = c^{2}[/tex] making the equation [tex]b^{2} = c^{2} - a^{2}[/tex] or [tex]b = \sqrt{ c^{2} - a^{2}}[/tex]
Given the provided information, this would be [tex]b^{2} = 10^{2} - 7^{2}[/tex] or [tex]b = \sqrt{ 10^{2} - 7^{2}}[/tex]
Simplifying it would be [tex]b = \sqrt{ 100-49[/tex] = [tex]\sqrt{51}[/tex]
The radical form would be [tex]\sqrt{51}[/tex]
While it's integer would be 7.14
Hope this helps!
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Let the third side =x
base² + altitude² = hypotenuse²
7² + x² = 10²
49 + x² = 100
x² = 100 - 49
x² = 51
x = √51
Related Questions
5. Divide 1148 into two parts which
are in the ratio 11: 3.
How do you get the answer
Answers
Add the two parts of the ratio together: 11 + 3 = 14
Divide the original number by 14:
1148/14 = 82
Now multiply 82 by each part of the ratio:
82 x 11 = 902
82 x 3 = 246
Answer: 902: 246
5(4 + 6) - 72 and explain the answer thank you
Answers
Answer:
-22
Step-by-step explanation:
5(4+6)-72
5(10)-72
50-72
-22
Answer:
5(4+6)-72
5x10-72
50-72
-22
Step-by-step explanation:
If you use PEMDAS, the P is for parenthesis.
So first, you do the (4+6) and then multiply it by 5, when you get that answer, do the final step. Subtract 72.
Hope this helped!! <3
A network administrator uses the function
f(x) 5* to model the number of computers a
virus spreads to after x hours.
How long will it take for the virus to spread to 50,000 computers ?
Answers
Functions are used to represent equations and graphs
It will take the virus 10000 hours to spread to 50000 computers
How to determine the number of hoursThe equation of the function is represented as:
f(x) = 5x
When the virus spreads to 50000 computers, the function becomes
50000 = 5x
Rewrite the function as:
5x = 50000
Divide both sides by 5
x = 10000
Hence, it will take the virus 10000 hours to spread to 50000 computers
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What is the value of this expression when a = -5 and b = -1?
3 square root a 3 /b
For a = -5 and b = -1, the expression has a value of ___
will give brianliest if someone else answers too and i will give you a thanks on ur pfp and on ur answer and 5 stars :) if ur late for brainlest its ok i will give you a thanks on this question and on ur pfp and rate ur answer 5 starts too
Answers
Answer:
For a = -5 and b = -1, the expression has a value of 5
Step-by-step explanation:
You just substitue a with -5 and b with -1 in the equation:
[tex]\sqrt[ 3 ]{ \dfrac{ - { 5 }^{ 3 } }{ -1 } \phantom{\tiny{!}}}[/tex]
Calculate -5 to the power of 3 and get -125
[tex]\sqrt[ 3 ]{ \dfrac{ -125 }{ -1 } \phantom{\tiny{!}}}[/tex]
Fraction [tex]\dfrac{ -125 }{ -1 }[/tex] can be simplified to 125 by dividing -125 by -1
[tex]\sqrt[ 3 ]{ 125 \phantom{\tiny{!}}}[/tex]
Calculate [tex]\sqrt[ 3 ]{ 125 \phantom{\tiny{!}}}[/tex] and get 5
5
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Answers
What are similar triangles?
Similar triangles are two triangles that, while not sharing the same size, have the same proportions and angles measurements. Their corresponding angles are equal and the corresponding sides are in the same ratio.
Triangle PQR is similar to triangle STU because their angles are the same, and they share the same proportions in regards to their side lengths.
To find the unknown side of a similar triangle, set up two ratios equal to each other that represent the ratios of each triangle.
n is the hypothenuse of triangle PQR, so in your ratio, n should be in a fraction with 13, the hypothenuse length of triangle STU.
The fraction that n and 13 will be set equal to should also be the same side of the different triangle. (so either both of them are the shortest legs or both of them are the longest legs of their triangles)
Let's check each answer:
n is in the denominator and 13 is in the numerator. Great! 36 is the longest leg of triangle PQR and 12 is the longest leg in triangle STU, great! This choice is wrong, however. This is because both denominators and numerators should be set equal to their respective triangles. n is in triangle PQR, while 12 is in triangle STU, so they can not be set equal to each other.15 and 5 are both the shortest legs in their triangles, great! Unfortunately, 12 and n are both not hypothenuses, so this answer is incorrect. 15 and 5 are both the shortest legs in their respective triangles, but, again, n and 12 are not both hypothenuses.n is in the denominator and 13 is in the numerator. Great! 36 is the longest leg of triangle PQR and 12 is the longest leg in triangle STU, great! And, n is set equal to 36 (they are in the same triangle) and 13 is set equal to 12 (they are in the same triangle). This is the correct answer.*To check if your answer is correct, solve for n by cross multiplication and plug in your answer into the fraction. Both sides should simplify to the same fraction*
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Molly is traveling from France to the US.She knows that 1 US dollar is worth $0.80 Euro.How much is 350 Euros worth is USD?
Answers
Answer:
437.5 USD
Step-by-step explanation:
350/.8*1=437.5
The value of 350 euros will be equal to 437.5 USD.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Molly is traveling from France to the US. She knows that 1 US dollar is worth $0.80 Euro.
The value of 350 euros in USD will be calculated as,
1 US dollar ⇒ 0.80 Euros
1 Euros ⇒ 1 / 0.80 dollar
350 Euros ⇒ ( 350 / 0.80 ) dollars
350 Euros ⇒ 437.5 dollars
Therefore, the value of 350 euros will be equal to 437.5 USD.
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For each pair of numbers, determine by what percent the second number is greater
than the first. Also determine by what percent the first number is less than the second.
100 and 110
Answers
Answer:
110 is 10% greater than 100
100 is 9 1/11% less than 110
Step-by-step explanation:
10%
9 1/11%
Answer:
10% greater and 9 1/11% less than 110.
Step-by-step explanation:
A novelist writes an average of 0.75 page per hour. Which equation models this unit rate
Answers
Answer: You may have to search it is what it says to me, “no results have been found for “A novelist writes an average of 0.75 page per hour. Which equation models this unit rate.”
Step-by-step explanation:
Find the nonpermissible replacement for s in this expression s-1/s-5
Answers
The nonpermissible replacement is -7. The nonpermissible replacement of the variable in a certain expression is the value of the variable
1) What is 94 percent of 75 ?
Answers
Answer:
70.5
Step-by-step explanation:
A cylinders volume can be calculated by the formula V=pir^2h, where V stands for volume and R for the base radius and H for the cylinders height.
Use the formula to calculate the cylinders volume if its base's radius is 4 meters, and its height is 9 meters
This cylinders volume, in terms of pi, is _________
This cylinders volume, rounded to the hundredth place, is _________
Answers
Answer:
This cylinders volume, in terms of pi, is 144π m³
This cylinders volume, rounded to the hundredth place, is 452.39 m³
Step-by-step explanation:
volume of cylinder:
→ πr²h
→ π(4)²(9)
→ 144π
→ 452.39 m³ ......rounded to nearest hundredth
[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]
[tex]\\ \tt\hookrightarrow v=\pi 4^2(9)[/tex]
[tex]\\ \tt\hookrightarrow v=16(9)\pi[/tex]
[tex]\\ \tt\hookrightarrow v=144\pi[/tex]
[tex]\\ \tt\hookrightarrow v=144(3.14)[/tex]
[tex]\\ \tt\hookrightarrow v=452.16m^3[/tex]
Answer it please???
//
Answers
2 triangles: 8(15)/2=60
rectangle 1: 17(2)=34
rectangle 2: 15(2)=30
rectangle 3: 8(2)=16
SA= 60+60+34+30+16
SA=200mm
Acellus
Find the volume of this figure.
[?] = cubic units
Enter
What is the volume?
Answers
Answer:
36
Step-by-step explanation:
length=6
width=3
height=2
6 x 3 x 2 = 36
AB bisects CD at point Q. You are given that m
Answers
Answer:
the answer is twenty four
Find the product. Write your answer as a mixed number in simplest form 4 4/5 x 3 5/8
Answers
Answer:
here's your answer hope it helps you
Step-by-step explanation:
4 4/5*3 5/8
24/5*29/8
192*145/40
27840/40
696 is the answer
Answer:
17 2/5
Step-by-step explanation:
to find the product, we convert first to improper fraction
4 4/5 x 3 5/8 = 24/ 5 x 29 /8
simplify the expression to becomes.
87/ 5 = 17.4 in decimal form
in mixed numbers = 17 2/5
Harold works at a men's clothing store, which
- marks up its retail clothing by 27%.
The store purchases pants for $74.00, suit
Jackets for $325.00 and dress shirts for
$48.00. How much will Harold charge a
customer for a pair of pants, a dress shirt and
a suit jacket?
Answers
Answer:
$567.67
Step-by-step explanation:
1. 74 + 325 + 48 = 447
2. 447 + (0.27)(447) = 447 + 120.67
3. 447 + 120.67 = 567.67
HELP Solve for x and y
Answers
Answer:
X = 12 / Y = 49
Step-by-step explanation:
X = 12
This is because one of those angles is a 90 degree angle, and the other is 78; After subtracting them both from 180, you're left with 12
Y= 49
I did the same procedure as above. The two far left lines are equal, which means 41 is also an angle on the other side. 180 - 90 - 41 = 49
If sin(3x + 5)º = cos(4x + 1)º, what is the value of x? Explain how you derived your
answer
Answers
Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)
Answers
Answer:
[tex]8 {a}^{3} + {36a}^{2} + 54a + 27 \\ [/tex]
Explanation:
Binomial theorem,
[tex] {(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3} [/tex]
The Svensons find a refrigerator valued at $2,300 on sale for $1,900. They decided to withdraw $500 from savings to use as a down payment on the purchase of the refrigerator and took out a loan to pay the balance. Choose the true statement. A. The Svensons’ assets increased by $1,400. B. The Svensons’ assets increased by $1,800. C. The Svensons’ assets increased by $1,900. D. The Svensons’ assets increased by $2,300. Please select the best answer from the choices provided A B C D.
Answers
Assets are the resources owned by any individual or organization. Svenson's assets increased by $1,400.
What is an asset?An asset is any resource that is been owned by a company, organization, or individual.
Given to us
The original price of the refrigerator is $2,300.
The Market price of the refrigerator is $1,900.
Svensons' paid $500
As it is given to us that the Market price of the refrigerator is $1,400 and as the Svenson's has bought the refrigerator, therefore, this resource(refrigerator) is now owned by the Svenson.
We know that the down payment made is also made from our assets(cash). therefore, the assets increased by $1,400($1900-$500)only.
Thus, the Svensons’ assets increased by $1,400.
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Answer:
B. The Svensons' assets increased by $1,800.
Step-by-step explanation:
There are 15 chairs arranged evenly around t tables. Choose the expression that shows how many chairs are at each table.
Answers
Answer:
15/t
Step-by-step explanation:
15 chairs per table
(/) is used instead of the word 'per'
Joni bought 35 books at a price of Rp. 122,500. Toni bought the same 24 books as
that Joni bought. How much did Toni pay for the book?
Answers
Answer:
Toni pays 84000
Step-by-step explanation:
Data :
Joni books = 35
Joni price = 122500
Toni books = 24
Find price of single book
122500/35 = 3500
Toni prices if 24 books is
24 × 3500 = 84000
find the value of x in the polygon
Answers
Answer:
x = 13 5/13°
Step-by-step explanation:
The sum of angles in a hexagon is 180°(6 -2) = 720°. That means ...
(8x +16°) +(12x -8°) +(7x +2°) +(9x +4°) +(6x +10°) +(10x) = 720°
52x +24° = 720° . . . . . . collect terms
52x = 696° . . . . . . . . subtract 24
x = 13 5/13° . . . . . . divide by 52
_____
Additional comment
The angles, in the same order, are approximately ...
{123.077°, 152.615°, 95.6923°, 124.462°, 90.3077°, 133.846°}
What is the sum of the infinite geometric series?
120+40+40/3+40/9+...
a. 136
b.156
c.180
d.184
Answers
Answer:
C that is the answer
Step-by-step explanation:
The formula for the sum of an infinite geometric series is S∞ = a1 / (1-r ).
The nth term of a sequence is 3n squared.
What is the 15th term
Answers
Answer:
2025
Step-by-step explanation:
3n² is our nth term
n=15
thus....
(3×15)²
= 45²=2025
Hopefully this helped- have a great day)
Blake and his brother are participating in their school’s food drive. Blake has collected 6 1/3 pounds of food and his brother has collected 5 3/4 pounds of food. Their goal is to collect 14 1/2 pounds of food by the end of the month. How many more pounds of food do they still need to collect to reach their goal? Answers shown below. (Ignore the one I chose, I randomly guessed)
Answers
They will need 2 5/12 more pounds to reach their goal.
Sum and difference of fractionsGiven the following information as shown:
Amount Blake collected = 6 1/3 poundsAmount his brother collected = 5 3/4 poundsIf their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:
y =14 1/2 - (6 1/3 + 5 3/4)
y = 14 1/2 - (19/3 + 23/4)
y = 29/2 - (76+69/12)
y = 29/2 - (145/12)
y = 174-145/12
y = 29/12
y = 2 5/12
Hence they will need 2 5/12 more pounds to reach their goal.
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Which number is closest to - 14 square root?
A. -4.5
B. 4.5
C. 3.7
D. -3.7
Answers
Answer:
the correct answer is -3.7
Select any equations that have the same solution set as:
2x + 3 = 13
A.6 + 4x = 26
B.10x = 20
C.12 = 13 - 5x
D.4x = 20
Answers
Answer: 6+4x=26, 4x=20
Step-by-step explanation: 6+4x=20 is the initial equation but completely multiplied by two, so you can know without solving that it is equivalent.
If you solve the equation, 2x+3=13 (subtract 3 from both sides)
2x=10 (divide both sides by 2)
x equals 5.
if you plug in 5 as x to 4x=20, you get 20=20, which is a true statement, so this choice is also correct. You could also solve to prove x equals 5 in this equation as well. Divide 20 by 4 and you get x=5.
Alexandra bought a $315,000.00 house, paying 10% down, and financing the rest at 6% interest for 20
years.
A. What is the monthly payment?
Alexandra has a payment of
a month.
B. How much interest will be paid over the life of the loan?
Alexandra will pay
in interest over the life of the loan.
Answers
Answer:
A. payment: $2031.08
B. interest: $203,959.20
Step-by-step explanation:
There are many financial calculators, apps, and spreadsheets that will solve this for you. Here, we will use the amortization formula that would be implemented by one of those.
A.The monthly payment is given by ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . loan of P at rate r for t years
If 10% is put down on the house, then amount that needs to be financed will be ...
$315,000 × (1 -10%) = 0.90 × $315,000 = $283,500
For interest rate 6% and a period of 20 years, the monthly payment is ...
A = $283,500(0.06/12)/(1 -(1 +0.06/12)^(-12·20))
A = $283,500(0.005)(1 -(1.005^-240)) ≈ $2,031.08
__
B.The interest is the difference between the amount repaid and the original loan value:
interest = 240 × $2031.08 - 283,500 = $487,459.20 -283,500
interest = $203,959.20
HURRY 20 POINTS
Mrs. Bready has a large bag filled with red and green cards. She tells the class that 15% of the cards are red and
85% are green. At the end of each class, she mixes the cards, reaches inside the bag, and draws out one card at
random. If a red card is drawn, the students will not be assigned homework. She shows the class the card, and
then places the card back in the bag. Carla would like to carry out a simulation to estimate the number of days it
will take in order to get a "no homework" day. She assigns the digits to the outcomes.
00-14 = red
15-99 = green
Beginning at line 1 and starting each new trial right after the previous trial, carry out 5 trials of this simulation
Based on these 5 trials, what is the average number of days it will take to get a "no homework" day?
A) 2
B) 2.8
C) 3.4
D) 4.2
Answers
It will take 4.2 days in order to get a "no homework" day.
AveragesTo determine the average number of days that it will take in order to get a "no homework" day, based on these 5 trials, the following calculation must be performed:
0.85 x 0.85 x 0.85 x 0.85 x 0.85 = X0.4437 = XTherefore, it will take 4.2 days in order to get a "no homework" day.
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Answer:
2.8
Step-by-step explanation: