Find the missing side lengths and leave the radicals in the simplest form.

Find The Missing Side Lengths And Leave The Radicals In The Simplest Form.

Answers

Answer 1

Answer:

[tex]y=\frac{9\sqrt{2} }{2}[/tex] and x=9

Step-by-step explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

[tex]y=\frac{9\sqrt{2} }{2}[/tex]

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

[tex]\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9[/tex]


Related Questions

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park
and then 2.51 miles to the library. On Sunday, Finley rode the bus 2.12 miles to thi
art museum. What is the total number of miles Finley rode the bus on Saturday
and Sunday?

Answers

The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles

Calculating distance

From the question, we are to determine the total distance travelled by Finley on Saturday and Sunday

From the given information,

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library

Total distance travelled on Saturday = 3.35 miles + 2.51 miles

Total distance travelled on Saturday = 5.86 miles

Also,

On Sunday, Finley rode the bus 2.12 miles to the art museum

Total distance travelled on Sunday = 2.12 miles

∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles

Total distance travelled on Saturday and Sunday = 7.98 miles

Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.

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josiah is running a marathon which is 26 1/5 miles Long. At four 1/4 miles from the start, he meets his wife, who is cheering him on. 7 1/2 miles further down the marathon course, he sees some Friends from his running club volunteering at a water stop. Once he passes his friends, how many more miles does Josiah have left to run?

Answers

Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Josiah is running a marathon which is 26 1/5 miles long.

At four 1/4 miles from the start, he meets his wife, who is cheering him on.

7 1/2 miles further down the marathon course.

26 1/5 = 131/ 5

7 1/2 = 15/2

The marathon run by Josiah

= 1/4 + 15/2

= 15.25

The miles Josiah has left to run

= 131/ 5 - 15.25

= 10.95

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Pls, look at the picture for the question.

Answers

Answer:

B

Step-by-step explanation:

surface area = area of base + area of lateral faces

Area of base:

A = lw

A = 4(4)

A = 16

Area of Lateral faces:

A = 1/2 bh

A = 1/2(5)(4)

A = 1/2(20)

A = 10

There are for lateral faces.

s = 16 + 10 + 10 + 10 + 10

find the local maximum and minimum values using the Second Derivative Test.​

Answers

Answer:

Find the first and second derivatives:

[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]

To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:

[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]

To determine the type of stationary points, input the found values of x into the second derivative.

[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]

[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]

Finally, to find the y-values of the stationary points, input the found values of x into the original function:

[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]

[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]

Therefore:

[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]

1.1 Penny specializes in making tablecloths. She buys fabric in rolls. The length of each roll is 100 and the standard width is 1 m. She cuts the roll into pieces of 1,5 m in length and then puts binding material at the edge of each tablecloth. A packet of binding material contains 24 pieces, each 5 cm long. Each tablecloth has 8 circular designs. Each circular design prece has a diameter of 14 cm

1.2.1 Determine the perimeter of one tablecloth

1.2.2 How many pieces of binding material required for 1 roll of fabric?

1.2.4 Calculate the area of the tablecloth that is not covered with the circular designs.

Area of a circle =​

Answers

can someone help me with c sense

If you use mobile payment and lose your phone, you should NOT:
OA. Cancel your card.
OB. Get a new phone and keep using the same card in the app.
OC. Remotely lock your device.
OD. If possible, clear the data off of your device.

Answers

Answer: Choice B

Reason:

Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.

What is the first step you would take to solve the equation ?

Answers

Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.

What are Like terms?

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

To solve an equation the first step is to rearrange the equation such that like terms are together.

Hence, the first step to solving an equation is to rearrange the like terms.

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5b) Find the surface area of the triangular prism. Round your answer to two decimal places.​

Answers

Answer:

693.19 m^2.

Step-by-step explanation:

This consists of 2 triangles and 3 rectangles,

Surface area = 2 * 1/2 * 3 * 9 + 9*31 + 3*31 + 9.49*31

=  27 + 279 + 93 + 294.19

= 693.19 m^2

4) The lower cable meets the tree at a height of 12 feet and extends out 32 feet from the base of the tree. If the tria
similar, how tall is the tree?
56 ft
The tree is ft tall.
Question 4

Answers

The tree would be approximately 34 feet tall.

Explanation: This is a Pythagorean Theorem problem. 12^2 + 32^2 = 1,168. The square root of 1,168 is 34.176, which rounds down to 34.

The residents of a city voted on whether to raise property taxes. The ratio of yes votes 5 to 8 no votes was
to
. If there were 7761
total votes, how many yes votes were there?

Answers

Answer:

2985 yes votes.

Explanation:

Yes : No

5x : 8x

Total Ratio: 5x + 8x = 13x

Solve for x

13(x) = 7761

divide both sides by 13

x = 597

Yes-Votes: 5(x) = 5(597) = 2985

No-Votes: 8(x) = 8(597) = 4776

Please help and thank you.

X=[?]

Answers

Answer:

x = 6

Step-by-step explanation:

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

AB = AC

Now, we can substitute the expressions in the equation.

22x - 33 = 7x +57

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

22x - 33 = 7x +57

Next, add 33 to both sides

22x = 7x + 90

Then, subtract 7x from both sides

15x = 90

Finally, divide both sides 15

x = 6

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

22(6) - 33 = 7(6) + 57

Then solve the equation

99 = 99

Since both sides are equal, the answer must be correct.

Help me answer this question :((((

Answers

Answer:

97.5

Step-by-step explanation:

75,85,90,105,120,150

90 and 105 are the middle, and median means the middle, but you can only have one answer.

90+105=195

195÷2=97.5

97.5 is the middle of all these numbers

Find the sum of the first 14 terms of the finite geometric series given as:
0.5+ (-1) +2+...

Answers

The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5

How to determine the sum of the series?

The series is given as:

0.5+ (-1) +2+...

The above series is a geometric series, with the following parameters:

First term, a = 0.5Common ratio, r = -2Number of terms, n = 14

The sum of the first 14 terms is calculated using:

[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]

So, we have:

[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]

Evaluate

[tex]S_{14}= -2730.5[/tex]

Hence, the sum of the series is -2730.5

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11 BAP-Z
Question
Find the volume of the solid figure.
1 cm
3 cm
6 cm
2 cm
3 cm
8 cm
9 cm

Answers

Answer:

168 [tex]cm^{3}[/tex]

Step-by-step explanation:

Start by finding the whole prism's volume. 9 x 3 x 8 = 216 Then find the volume of the missing part. 8 x 6 x 1 = 48. Subtract the missing volume from the whole volume. 216 - 48 = 168

The sales tax in some places in Texas is 8.25%. Which function
represents the cost of purchasing x dollars of products, including tax?

Answers

Taxes usually increase how much you pay from the purchase price.  To find the tax charged on the purchase, multiply the tax rate by the purchase.

$28.38 × 0.0825 = $2.34

The tax charged is $2.34

Your Assignment

210 students were asked whether they want to go to a water park or a roller skating rink for a class party.

50 students are girls who want to go to the water park.

45 students are girls who want to go skating.

60 students are boys who want to go to the water park.



Water park

Skating

Total

Boys







Girls







Total







Answer the questions to analyze the data.

1. Use the given information to fill in the two-way table.

Answers

The total of all this is 360 but more students wanted to go to the skating rink then the girl who wanted to go to an skating rink

Three trends each have a balance of $5,000 on their credit cards with a 25%APR. They've
decided that they will not make any other purchases on the cards until they pay of the debt
and make varying amounts of monthly paymentes
• Sharon can only make the credit card minimum payment, $150 per month
• Ceollia can set aside $400 per month to pay back her dett
• Alexander can pay $800 per month for his credit card
After 5 months, how much will each person have paid in interest so far and how large will
their remaining balance be? Use the formulas below to calculate their interest and balance
for each month
Hint Credit card interest is typically compounded daily so n=365Time here is in years, so
make sure you use a fraction for your t value. Need to show monthly interest and balance paid monthly for first 5 months on each person.

Answers

here i hope this exaple helps but for the time being while i solve it heres this example

if you currently owe $500 on your credit card throughout the month and your current APR is 17.99%, you can calculate your monthly interest rate by dividing the 17.99% by 12, which is approximately 1.49%. Then multiply $500 x 0.0149 for an amount of $7.45 each month.

help me plsssssssssssssssssssss

Answers

Answer:

can i please have somepoints

Step-by-step explanation:

i need to get an answer to a question and if i don't i might fail a really hard test

Answer:

19/29 probability of bieng an only child

Step-by-step explanation:

HELP PLEASEEE ASAPPPPPPPP

Answers

About $ 987 billion will be spent at restaurants in 2020 if the trend continues
( if there wouldn’t be a global pandemic that shutdown all of the restaurants)

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was 516 with a margin of error of 20. Write a confidence interval for the true mean SAT score of the graduating high school seniors.

Answers

A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)

What is a confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.

Mean score ± margin of error

Margin of Error = 20

Mean SAT score = 516

Hence,the confidence interval will be:-

=  516   ±  20

Lower boundary  =  516   -   20  = 496

Upper boundary  =  516   +  20  =  536

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-. The side views of two different ramps are shown below. Which is a true
tatement about the slope of the ramps?

Answers

The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.

What is the Slope?

Slope = gradient = rise / run = vertical distance / horizontal distance.

Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.

Slope of  the side view of ramp B = rise / run = 14 / 21 = 2/3.

The slope of A = slope of B = 2/3

The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.

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If f is translated 4 units down to create g, which function represents g? A. g(x) = f(x) + 4 B. g(x) = f(x) - 4

Answers

Answer:

g(x) = f(x) - 4.

Step-by-step explanation:

4 down = -4

g(x) = f(x) - 4.


Rick recorded the information shown below. What type of graph would be the most appropriate for Rick to use

Answers

A Line graph

Sure hope this helps you

PLS HELP ASAP WILL GIVE BRAINLIEST

Answers

It’s A because of the vertical angles being congruent

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Victoria wants to purchase a tablet. She has $130 to spend. She finds one that regularly sells for $139.99 and is on sale of 15% off. Sales tax is 7%. How much will Victoria pay for the tablet? Show your work and record your answer in the red box.

Answers

Answer:

$127.32

Step-by-step explanation:

Selling price= $139.99

Sale discount= 15% = $139.99 * 0.15 = $21

Discounted price= $139.99 - $21 = $118.99

Sales tax added= 7% = $118.99 * 0.07 = $8.33

Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left

The radius of a circle is 1 meter. What is the circle's area?
r=1 m
Use 3.14 for л.
square meters

Answers

Answer:

A= 3.14

Step-by-step explanation:

The formula for finding the area of a circle is A=  π r²

A= 3.14*1²


Find the volume of a sphere with a surface area of 23041 in2.

Answers

Answer:V≈3.29×105in³

Step-by-step explanation:im smart

Answer: V≈3.29×105in³

3 1/3 divided by 1 1/5

Answers

Answer:

Step-by-step explanation:

3 1/3 is 10/3. 1 1/5 is 6/5. KCF, Keep Change Flip.

10/3 divided by 6/5 becomes 10/3 multiplied by 5/6, or 50/18.

50/18 becomes 25/9, or 2 7/9.

Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5

Answers

Answer:

p=13.5

Step-by-step explanation:

know: complementary angles add to 90

(2p+9) +4p =90

6p +9 =90

6p= 81

p= 81/6 = 13.5

3 What is the solution to ža>-16? o a O a>-21 a 21 O a ​

Answers

Answer: The answer is the first option:  [tex]a > -21\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] × [tex]a > -16[/tex]

[tex]\frac{3}{4}a\cdot \frac{4}{3} > -16\cdot \frac{4}{3}[/tex]

[tex]\frac{3}{4}\cdot \frac{4}{3}a > -16\cdot \frac{4}{3}[/tex]

[tex]a > -16\cdot \frac{4}{3}[/tex]

[tex]a > \frac{-16\cdot 4}{3}[/tex]

[tex]a > \frac{-64}{3}[/tex]

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