Solve for x, y, and z. Enter the integer that is under each radical.

Solve For X, Y, And Z. Enter The Integer That Is Under Each Radical.

Answers

Answer 1

Answer:

[tex] x=\sqrt{10} [/tex]

[tex] y = \sqrt {14} [/tex]

[tex] z = \sqrt {35} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] x=\sqrt{2\times 5} [/tex]

[tex] x=\sqrt{10} [/tex]

By Pythagoras Theorem:

[tex] y^2 = x^2 + 2^2 [/tex]

[tex] y^2 = (\sqrt{10}) ^2 + 2^2 [/tex]

[tex] y^2 = 10 + 4 [/tex]

[tex] y^2 = 14 [/tex]

[tex] y = \sqrt {14} [/tex]

Again by Pythagoras Theorem:

[tex] z^2 = x^2 + 5^2 [/tex]

[tex] z^2 = (\sqrt{10}) ^2 + 5^2 [/tex]

[tex] z^2 = 10 + 25 [/tex]

[tex] z^2 = 35 [/tex]

[tex] z = \sqrt {35} [/tex]


Related Questions

City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be?

Answers

Answer: 9 inch

Step-by-step explanation:

Given

Distance between city A and city B is 540 miles

Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation

suppose the distance between city A and B on the map is x

[tex]\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.[/tex]

Therefore, the distance between city A and B is 9 in.

Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.

Answers

Answer:

Surface area = 505cm²

Step-by-step explanation:

Surface area of the triangular prism. = 2B + ph

B is the base area

p is the perimeter of the triangle

h is the height of the triangle

Base area = 1/2 * base * height

Base area = 1/2 * 18 * 40

Base area = 9 * 40

Base area = 360cm²

Perimeter of the triangle = 41 + 41 + 18

Perimeter of the triangle = 100cm

height of the prism = 45cm

Surface area = 360 + 100 + 45

Surface area = 505cm²

Solve for x and show your work! For each equation choose if there are:
• zero solutions for x • exactly one solution for x • or an infinite number of solutions for x.

2(3x + 9) = 18 + 6x

Answers

Answer:

Infinite number of solutions

Step-by-step explanation:

Use the distributive property

2 x 3x = 6x

2 x 9 = 18

6x +18 = 18 + 6x

Answer: infinite solution

¿Qué número NO pertenece al conjunto de los números racionales ?

A) -3,4 3,2764...
B)1,9999999...
C)0
D)1/6

Answers

Answer:

D

Step-by-step explanation:

find the measure for each angle indicated

Answers

Step-by-step explanation:

7. 180 -92 -67 =21. 180-21 = 159

8.180-144 = 36 + 94 = 130 180-130 = 50

Answer:

Step-by-step explanation:

TWO RULES:

⊳ Angles in a triangle add up to 180

⊳ Angles on a straight line also add up to 180

=================================================================

QUESTION 1

92 + 67 + x = 180

x + 159 = 180

x = 21

180 - 21 = 159

? = 159

=================================================================

QUESTION 2

144 + x = 180

x = 36

94 + 36 + ? =180

130 + ? =180

? = 50

=================================================================

!     HOPE I HELPED     !

Mario works at Bluebonnet Ice Cream parior.He earns $87.50 every 7 hours of work.Rachel works at Guadalupe Music Store and earns $39.75 for every 3 hours of work.How does the amount Mario earns per hour compare with the amount Rachel earns per hour?

Answers

Answer:

63

Step-by-step explanation:

7.24 + 5.3 = 3m

what is the true answer ?

Answers

Answer:

7.24 + 5.3 = 3m

=> 3m = 12.54

=> m = 12.54/3

=> m = 4.18

Answer = 4.18

76.57143 nearest tenth

Answers

Answer:

76.6

Step-by-step explanation:

so the nearest tenth is 76.57143

Answer:76.6

Explanation:

I need help with this pls I out 30 points

Answers

Answer:

Step-by-step explanation:

Age:            Frequency:

50-54          2

55-59          5

60-64          3

65-69          3

A bag contains a mixture of 300 red and 75 yellow candies. If you choose one candy at random, what is the probability that it is yellow?

Answers

Answer: A solid 4% chance of picking a yellow

brainliest plz

Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:

(1 - P(A)) × P(B)  

where P(A)=.8 and P(B)=.2

plugging in all things it would be

(1-.8)*.2

which equals .04 or 4%

13) Bill puts blueberries on his cereal
each morning. He used 16 ounces of
blueberries in 4 days. How many
ounces of blueberries does he put on
his cereal each day?

Answers

Answer:

4 Ounces

Step-by-step explanation:

Assuming he puts an equal amount of blueberries in each day. All you have to do here is divide the total (16) by how many groups you want to put it in(4 days in this question). 16 divided by 4 equals 4!

PLEASE HELP I WILL REWARD WITH BRAINLIEST !!

Answers

Answer:

A. 24 units

Step-by-step explanation:

A pizza has 3,000 calories. If the pizza is cut into 8 slices, how many calories are in 3 slices of pizza?

Answers

Answer:

1125 calories

Step-by-step explanation:

3000 divided in 8 slices is 375 calories per piece.

3 pieces with 375 cals per 1125

Answer:

1125 calories

Step-by-step explanation:

Find how many calories are in one slice by dividing 3000 by 8:

3000/8

= 375

Find how many calories are in 3 slices by multiplying 375 by 3

375(3)

= 1125

So, in 3 slices of pizza, there are 1125 calories

What is the simplified value of the expression below? Help please

Answers

Answer: 5

Explanation: The square root of 100 is 10. The square root of 4 is 2.
10/2 = 5

HELP DUE IN 10 MINS! Solve for x in the parallelogram below:

x=??

Answers

Answer:

7

Step-by-step explanation:

Opposite sides of a parallelogram are congruent:

2x + 10 = 4x - 44x - 2x = 10 + 42x = 14x = 7

I need answer please

Answers

Answer:

they are integers

Step-by-step explanation:

Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?

thousands
tens
tenths
thousandths

Answers

It’s the tenths
Hope it’s right
I think the answer is tenth and the reason why is because

find the value of the reciprocal of 0.25

give your answer as a decimal

Answers

Answer:

the reciprocal of 0.25 is 4.

Suppose you had to decide between an apartment that cost $800/month for a month-to-month contract, or $650 for an annual contract. The annual contract includes a 2- month early termination penalty if you leave before 12 months

Answers

Answer:

Step-by-step explanation:

Incomplete question, but if my guess is correct, you're trying to determine which is a better deal between the two. I will go with the second one. The $650/month rent.

I choose so because, $800/month totals to $9600 at the end of the year. While $650/month totals to $7800 per year. Again, with the $650/month, if you try to leave before the end of the year, say 11 months even, you pay a penalty of $1300, which still leaves you on the profit side. And the whole idea of choosing is to find which is more beneficial and cost effective.

identify the trinomial that is a perfect square

Answers

Answer:

b

Step-by-step explanation:

The topology taxi company charges 2.60 for the first quarter of a mile and 0.36 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven m

Answers

Answer:

The piecewise function for the taxi fare is:

[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex]

[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex]

Step-by-step explanation:

We must use the following piecewise function:

(i) The Topology Taxi Company charges 2.60 for the first quarter of a mile:

[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex] (1)

Where:

[tex]F(t)[/tex] - Taxi fare, in monetary units.

[tex]m[/tex] - Number of miles driven, in miles.

(ii) And 0.36 for each additional fifth of a mile:

[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex] (2)

If a triangle has a side length of 5 inches and another side length of 7 inches, which of the
following choices for the third side length will make a triangle?
a. 1 inch
b. 2 inches
c. 6 inches
d. 13 inches

Answers

Answer:

d. 13 inches

Step-by-step explanation:

When we need to solve the side length and length of triangles, we need to remember one thing.

Coming to a right triangle, there are two short sides and one long side, and the two short sides need to add up to something less than the one long side.

Therefore, since we know our two short sides, add them :

7in. + 5in.

= 12in.

Looking at the answers, we can point out that d. is greater than 12 inches, therefore making it the correct answer.

Find the sum to 9 terms of the geometric SERIES 3 + 18 + 108 ​

Answers

Answer:

129

Step-by-step explanation:

Answer:

I think the answer is 129. I'm not sure and if I'm wrong I apologize.

Step-by-step explanation:

3+18=21

21+108=129

Please help me with this problem!!

Answers

Yes, the correct answer would be 45. Good luck

Can someone please help me with math.

Answers

2) is C 7$ because 43- 5(3)=28
28/4=7

Identify the function as a translation, compression, stretch, or reflection of the parent function, ƒ(x) = x^4.
ƒ(x) = (x − 2)^4 + 1

A. translation
B. compression
C. stretch
D. reflection

Answers

Answer:

Its A

Step-by-step explanation:

There are no reflections and there are no compresses or stretches

HELP ASAP THIS IS DUE IN A LIVE CLASS DONT GUESS ITS QUESTION 4

Answers

Answer:

2 answers

Step-by-step explanation:

factor: 2π(hr+π)

evaluate: 2π(hr+π)

hope that helps

Help worth 10 points I need the whole area of the shape

Answers

Answer:

1,736km^2

Step-by-step explanation:

Answer:

2,352 km^2

Step-by-step explanation:

So there is a square and 4 triangles.

You first, find the area of the square.

You then get: 35 x 48 = 1,680

Then you need to add the triangles.

Because we have 2 triangles on each side the area formula of a triangle in which is 1/2 times by the base and height can be solved by just B * H.

Doing that you can get: 48 * 7 = 336

Because you have 2 triangles, the final area results in:

1,680 + 336 * 2 = 2,352

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

The answer i think is it c
I believe the answer is C

ANSWER QUICK PLSS!!!
Write congruence statements comparing the corresponding parts in the congruent triangles shown below.


a.

congruent; a reflection followed by translation


b.

congruent; a rotation followed by a reflection


c.

congruent; a reflection followed by another reflection


d.

not congruent

Answers

The correct answer is letter C
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