Answers
Answer:
x = 5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 16²
x² + 81 = 256 ( subtract 81 from both sides )
x² = 175 ( take the square root of both sides )
x = [tex]\sqrt{175}[/tex] = 5[tex]\sqrt{7}[/tex] ≈ 13.23 units ( to 2 dec. places )
Answer:
x = 5√7
Step-by-step explanation:
By pythagoras theorem,
(hypotenuse)² = (altitude)² + (base)²
(hyp)² - (base)² = (alt)²
(16)² - (9)² = x²
256 - 81 = x²
x² = 175
x = √175
x = 5√7
hope this helps you!
Related Questions
Determine the annual rate of change.
Answers
Answer:
13
Step-by-step explanation:
Subtract 150 - 72 = 78
Divide the answer by 6 : 78/6
(6 being the years in between)
You get 13!
Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? Show your work.
Answers
Answer:
a) 37 + 42 =79
=7/100 x 79
=553/100
=5.53
Isaac's total bill = 79 + 5.53 = $84.53
b) 25/100 x 79
= 19.75
= 79 - 19.75
= $59.25 (before tax)
7/100 x 59.25
= 414.75/100
= 4.15
= 59.25 + 4.15
= $63.4 (after adding tax)
Step-by-step explanation:First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.
Answer:
Isaac paid $84.53
Step-by-step explanation:
37+42=79.00
79.00* .07=5.53
5.53+79.00=84.53
Which statement regarding the interior and exterior angles of a triangle is always true?
An exterior angle is supplementary to the adjacent interior angle.
An adjacent interior angle is supplementary to a remote interior angle.
A remote interior angle is congruent to the exterior angle.
An exterior angle is supplementary to a remote interior angle.
Answers
A: an exterior angle is supplementary to the adjacent interior angle.
The true statement is an exterior angle is supplementary to the adjacent interior angle.
What is Supplementary Angle?Two angles are called supplementary when their measures add up to 180 degrees.
We know,
A triangle's angles sum up to 180 degrees.
In the same way, adjacent angles add up to 180 degrees.
According to the preceding statements:
An outside angle is added to the adjacent interior angle to make a total of 180 degrees.
As a result, the correct statement about the interior and exterior angles of a triangle.
Learn more about Supplementary Angle here:
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find the difference. (12m + 1) - (5m - 4)
Answers
Answer:
7m + 5
Step-by-step explanation:
1) Simplify.
(12m + 1) - 1 (5m - 4) -> (12m + 1) - 5m + 4
2) Eliminate unnecessary parenthesis.
(12m + 1) - 5m + 4 -> 12m + 1 - 5m + 4.
3) Combine like terms.
12m - 5m = 7m, 4 + 1 =5 -> 7m + 5
The solution is 7m + 5
i need help with this
Answers
Answer:
Perimeter of FGH = 192
Step-by-step explanation:
42 / 28 = 1.5
50 x 1.5 = 75
44 x 1.5 = 66
34 x 1.5 = 51
75 + 66 + 51 = 192
if a cell phone provider offers a plan that costs $20 per month plus $0.10 text messages sent or received a comparable plan costs $50 per month but offers unlimited text messaging how many text messages would have to be sent or received in order for the plans to cost the same each month
Answers
Answer: You would have to send 300 text messages
Step-by-step explanation:
1. Turn problem into 20 + 0.10x = 50
2. Subtract 20 from both sides to get 0.10x = 30
3. Divide both sides by 0.10 to get x = 300
Write an equation for each problem, then solve for x.
A number increased by 8 equals 32. Find the number. ______________________
Four times a number is 48. Find the number. ______________________
Double a number decreased by 18 is 116. Find the number. ______________________
Add twelve to eight times a number and the result is eighty-four. Find the ______________________
number.
Increase my age by eleven years and I become thirty-seven. Find my age. ______________________
7)Solve each of the following word problems.
a) Amber is 7 years younger than her sister Carley. Together their ages total 43 years.
How old are Amber and Carley?
Amber: ___ years old Carley: ___years old
b) Jordan & Nevin have collected 160 buttons. Jordan has 25 buttons more than twice as
many buttons as Nevin. How many buttons do they each have?
Jordan: _____ buttons Nevin: ____ buttons
c) There are three members in the Murphy family. Mom, Dad & Brittany. Dad is 3 years
older than Mom. Brittany is 32 years younger than her Dad. If the sum of their ages is 64,
find the age of each member of the Murphy family.
Mom: _____years old Dad: ____years old Brittany: ____years old
d) The sum of three numbers is 138. The second number is twice the first and the third is 7
less than the second. What are the numbers?
1st #: _____ 2nd: _____ 3rd: _____
Answers
Subtract 8 from both sides to isolate x.
x = 24
2. 4y = 48
Divide each side by 4 to isolate y
y = 12
3. 2z - 18 = 116
Add 18 to each side, then divide each side by 2 to isolate z
z = 67
4. 8a + 12 = 84
Subtract 12 from each side and divide each side by 8 to isolate a.
a = 9
5. b + 11 = 37
Subtract 11 from each side to isolate b
Age = 26 years
7.
a. 2x - 7 = 43
Add 7 to each side and divide by two to isolate x.
x = 25
Carley is 25 years old and Amber is 18 years old.
b. x + 2x + 25 = 160
Combine like terms, subtract 25 from each side, and divide each side by 2 to isolate x.
Nevin (x) has collected 45 buttons. Jordan has collected 115 buttons.
c. x + x + 3 + x - 29 = 64
Combine like terms, add 26 to each side, and divide by 3 to isolate the variable.
x = 30
Mom (x) is 30 years old, Dad is 33 years old, and Brittany is one year old.
d. x + 2x + 2x - 7 = 138
Combine like terms, add 7 to each side, and divide by 5 to isolate the variable.
x = 29
29, 58, 51
PLEASE HURRY!!!
Owen needs to print a large document. He printed the first 35 pages earlier, and the printer can print 23 pages per minute. Which of the following solutions are viable that relate to the number of minutes the printer is running and the total number of completed pages Owen has printed? Select the two correct answers.
1: A total of 128 pages are printed after 3 minutes
2: a total of 122.5 pages are printed after 4.5 minutes
3: a total of 81 pages are printed after 2 minutes
4: a total of 150 pages are printed after 5 minutes
5: a total of 138 pages are printed after 6 minutes.
Answers
Answer:
The fifth answer is correct! have a great day
Answer:
3 and 4
Step-by-step explanation:
23x5= 115
115+35=150
23x2=46
46+35= 81
which gives us numbers 3 and 4
Please give me brainliest :)
Hi can someone please tell me what the answer is thanks!
Answers
Answer:
B. 6
Step-by-step explanation:
50 times 3/5 = 150/5 = 30
30 times 4/5 = 120/5 = 24
24 times 1/4 = 24/4 = 6
Interpreting Unit Rates on Graphs - Item 1820
Questio
The graph shows the temperature of a liquid that is being heated during an experiment
Three of the statements are true. Which is NOT?
Temperature ("C)
(6.5, 26)
Time (min)
Answers
Answer:
what are the statements?
Step-by-step explanation:
Answer:
At this rate, it would take less than 10 minutes for the temperature of the liquid to rise 52°.
Step-by-step explanation:
What is m<1
A. 130°
B. 70°
C. 60°
D. 120°
Answers
Answer:
120 degrees
Step-by-step explanation:
To find m<1 we must first find the other angles.
First, find m<CDB. To do this use the complementary angle 130. So m<CDB=180-130, which means m<CDB=50.
Then find m<2, to do this remember that all triangles equal 180. So to find m<2 solve the equation m<2=180-(70+50), which equals 60 degrees.
Finally find m<1 the same way you found m<CDB, using the complementary angle 2. m<2=180-60, therefore m<1=120.
Answer:
120
Step-by-step explanation:
No estudo da circunferência é muito importante diferenciar diâmetro e raio, muito erros são cometidos pela troca desses conceitos e consequentemente a troca de seus valores. A medida do comprimento de uma circunferência é determinada pela fórmula C = 2 π. R , ou seja comprimento da circunferência é igual ao dobro do valor do π multiplicado pelo valor do raio dessa circunferência. Calcule qual a medida em cm de uma circunferência: a) cujo diâmetro mede 10 cm. b) cujo raio mede 12 cm. c) cujo diâmetro mede 2 cm. d) cujo raio mede 5 cm.
Answers
Explicação passo a passo:
A circunferência de um círculo é expressa como mostrado;
C = 2πR
R é o raio
Em termos de diâmetro;
C = πD
D é o diâmetro
a) Se o diâmetro for 10cm
Circunferência C = π (10)
C = 10 (3,14)
C = 31,4cm
b) Se o raio for 12cm
C = 2πR
C = 2π (12)
C = 24π
C = 24 (3,14)
C = 74,36cm
c) Se o diâmetro for 2cm
Circunferência C = π (2)
C = 2 (3,14)
C = 6,28cm
d) Se o raio for 5cm
C = 2πR
C = 2π (5)
C = 10π
C = 10 (3,14)
C = 31,4cm
is the following true or false? d3/dx3(xsin(x))=-xcos(x)-3sin(x)
Answers
Answer:
Step-by-step explanation:
That is a true statement.
The first derivative is
[tex]f'(x)=xcos(x)+sin(x)[/tex]
The second derivative is
[tex]f"(x)=-xsin(x)+2cos(x)[/tex]
The third derivative is
[tex]f'''(x)=-xcos(x)-3sin(x)[/tex]
If you don't know how to find a derivative at this point, you'll be in a lot of trouble when it comes to integration. I recommend learning these.
The second term of a sequence is 13. The term-to-term rule is ' Multiply by 2 then subtract 3'. What is the first term of the sequence?
23
-23
-8
8
Answers
Answer: multiply
Step-by-step explanation:
jus 45 multiply by 67
Witch is equavalent to 2/3 all that are true
Answers
3/4 and 8/12
Step-by-step explanation:
2/3 by 4 you get 3/4 then 3/4 times 4 equals 8/12
You deposit $18,265 in a bank account. Find the balance of 27 years of the account pays 1.75% annual interesnt compounded quarterly.
Answers
Answer:
Step-by-step explanation:
What is the least perfect square that is a factor of 4536?
Answers
Answer:
I don't think there is a least perfect square that is factor of 4536
Step-by-step explanation:
In a movie theater, there are children and adults in the ratio 4:7. If there are 21 adults, how many people total are there in the theater?
Answers
Answer:
33
Step-by-step explanation:
7x3=21
4x3=12
21+12=33
Struggling to do my math work haha please help. Worth 14 points!!!
Answers
Answer:
C. y = -1/2 + 2
Step-by-step explanation:
First, we need to find the Slope.
Points: ( -4,4) and (8,-2)
Formula: m = y2 - y1/x2 - x1
m = y2 - y1/x2 - x1
m = -2 - 4/8 - (-4)
m = -6/8 + 4
m = -6/12
m = -1/2
Alright, now that we have the Slope, we can now use the Slope Form to find the Slope Intercept Form.
Point: (8,-2) (You may choose any points, but I would like to choose these for no reason)
Slope: -1/2
Formula: y - y1 = m(x - x1)
y - y1 = m(x - x1)
y - (-2) = -1/2(x - (8))
y + 2 = -1/2x + 4
y = -1/2 + 4 - 2
y = -1/2 + 2
The Slope Intercept Form is: y = -1/2 + 2
How do I solve this and check all the solutions?
Answers
Answer:
sir answer is x=6
Step-by-step explanation:
I hope this 9s ok
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
Given Eq:
√x + 3 = x - 3Solving this:
Squaring both sides,
➝ x + 3 = (x - 3)²
➝ x + 3 = x² - 6x + 9
Now shifting RHS to LHS,
➝ x + 3 - x² + 6x - 9 = 0
➝ -x² + 7x - 6 = 0
➝ x² - 7x + 6 = 0
Now finding the values of x by middle term factorisation,
➝ x² - 6x - x + 6 = 0
➝ x(x - 6) - 1(x - 6) = 0
➝ (x - 1)(x - 6) = 0
➝ x = 1 or 6.
But here, you can see, x = 1 is not a solution to the original equation because when we say about square roots, value can't be negative.
Hence,
As a result, the only valid solution to the original equation is x = 6.⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
Total consumption of fruit juice in a particular country in 2006 was about 1.56 billion gallons. The population of that country in 2006 was 500 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Answers
Answer:
Here is what I can do with info given
Step-by-step explanation:
1.56 billion gallons div by 500 million people is 3.12 gallons per person.
So you get 3.12 gallons per person
I don't know how many people are in you're class so
you need to take 3.12 times x
x is people in your class
Then you get your final awnser
Answer:
Step-by-step explanation:
4.4
Scientific Notation nerd right here
Worth 15 points. Brainliest will also be given to the first correct answer.
In the movie Titanic, the blue, diamond heart-shaped necklace that was given to Rose was called _______________.
a) The Heart of the Atlantic
b) The Diamond Heart
c) The Heart of the Ocean
d) The Royal Diamond
Answers
Answer: It is C
Step-by-step explanation: Love the movie I cry that Jake didn't make it :(
Write an equation of a line through the points (-3, 4) and (-2,7) in standard form.
Answers
Answer:
3x + 13
ithink
Step-by-step explanation:
The Great Pyramid of Egypt was built for Queen Cleopatra.
True
or
False
Answers
Answer:
False
Step-by-step explanation:
Answer:
False
that is the answer
What is the solution to the equation represented by the model below?
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
x = negative 14
x = negative 2
x = 2
x = 14.
Answers
Answer:
Therefore, the correct option is;
x = 2
Step-by-step explanation:
Let x represent the number of tiles, and let 1 represent the positive 1 tiles
Let the and operator represent addition we have;
3 × x + 8 × 1 = 4 × x + 6 × 1
We simplify as follows;
3·x + 8 = 4·x + 6
We move and place like terms together as follows;
4·x - 3·x = 8 - 6
From which we have;
x = 2
Therefore, the correct option is x = 2
Step-by-step explanation:
Edge 2021
verified
Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200
Answers
Answer:
C
Step-by-step explanation:
500+450=950
2/3(y−6)=−(y+2)+1 pls
Answers
Answer:
y= 9/5 Decimal form is:1.8
Aveterinarian uses the function f(t) =3.7t +21 to estimate a puppy's future weight in pounds as a function of time in months
Answers
f(t) = 3.7t + 21
where t is the time in months
f = 3.7t /t + 21 / t
f = 3.7 + 21/t
The puppy's future weight in pounds as a function of time in months can be represented by f = 3.7 + 21/t.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that veterinarian uses the function f(t) =3.7t +21
Thus, f(t) = 3.7t + 21 , where t is the time in months
To estimate a puppy's future weight in pounds as a function of time in months, we have to divide by time t.
f = 3.7t /t + 21 / t
f = 3.7 + 21/t
Hence, the puppy's future weight in pounds as a function of time in months can be represented by f = 3.7 + 21/t.
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please help me answer this question!!!
Answers
Slope is change in y/change in x
So the slope would be 2/2 which is 1
you can use 1 point to plug into y=mx+b where your m is your slope. So you have
y=1x+b
We can use the point (1,-4)
So we have
-4=1(1)+b
So we have
-4=1+b
And b=-5 so your equation is
y=x-5
I hope this helps!!!
A model giraffe has a scale of 1 in : 3 ft. If the real giraffe is 12 ft tall, then how tall is the model giraffe?
Answers
Answer:
4
Step-by-step explanation: because 4: 12
Let h = height of giraffe
1/3 = h/12
3h = 12
h = 12/3
h = 4 feet