3. One leg of a right triangle measures 10 inches while the other leg measures 21 inches. What is the length of the hypotenuse?




A) c = 9in



B) c = 11in



C) c = 12in



D) c = 7in




4. If the length of the hypotenuse is 10m and its base leg is 6m, what is the length of its remaining leg?




A) a = 8m



B) a = 9m



C) a = 12m



D) a = 10m




5. The altitudes of a right triangle has a length of 32cm. It’s hypotenuse measures 9cm. How long is its base leg?




A) b = 5cm



B) b = 7cm



C) b = 6cm



D) b = 9cm




6. Ben pushes a stick in the ground next to a flag pole so that its measure from the ground is 1 foot. The stick casts a shadow of 4 feet while the flag pole casts a parallel shadow of 60 feet. How tall is the

Answers

Answer 1

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths in a right-angled triangle :

c² = a² + b²

c is the Hypotenuse, the side opposite of the 90 degree angle.

a and b are the "legs".

3.

c² = 10² + 21² = 100 + 441 = 541

c = sqrt(541) = 23.2594066...in

so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be

c² = 10² + sqrt(21)² = 100 + 21 = 121

c = 11in

4.

10² = a² + 6²

100 = a² + 36

64 = a²

a = 8 m

5.

again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.

given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?

also interesting that it says "attitudes" - plural. what do you mean by that ?

because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?

with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".

6.

similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.

so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.

what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.

going from the small to the large triangle we have to transform 4ft into 60ft.

what do I have to multiply 4 with to get 60 ?

4 × x = 60

x = 60/4 = 15

so, the flag pole is

15×1 = 15ft tall.


Related Questions



4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.

Answers

Answer:

120$

Step-by-step explanation:

how do i simplify these expressions?
. 3x x 4y
. 2p x 3q x 5r

Answers

Answer:

[tex] \\• \tt \: 3x \times 4y[/tex]

[tex] \\ \tt = 12xy[/tex]

[tex] \\ \tt • \: 2p \times 3q \times 5r[/tex]

[tex] \\ \tt = 30pqr[/tex]

Riley is saving up to buy a new television. She needs a total of $1,164.38. Riley has saved $200.66 already and earns $80.31 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

1. First we can subtract $200.66 from $1,164.38 to find how much Riley has left to save: $963.72

2. Now we can divide $963.72 by how much Riley earns in a week $80.31 to find the number of weeks: 12 weeks

Answer: 12 weeks

Hope this helps!

22.45=x+5y,
27.45=x+7y

Answers

Answer

7

Step-by-step explanation:

Use the diagram to complete the statement.
Given ΔJKL, cos(60°) equals sin(?)

Answers

Answer:

cos(60) = sin(30)

Step-by-step explanation:

cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°

sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°

Carlos took a total of 8 quizzes over the course of 4
weeks. After attending 7 weeks of school this
quarter, how many quizzes will Pancho have taken in
total?
Help,no links

Answers

Answer:

the answer is 14

Step-by-step

multiply 2x7

A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function

3 0.5 42 60

Answers

Answer:

Yes

Step-by-step explanation:

f = 24/w

Just plug in each one, would only be an error if denominator would = 0

help with these questions pls​

Answers

Answer:

1. 5 + r/14

2. 3x -4 = 23

Answer:

1. 5 + r/14

1. 3x - 4 = 23

Step-by-step explanation:

1. Remember, the quotient is obtained by dividing one quantity by another. In the sentence it is stated that "the quotient of r and 14" which means: r divided by 14.

The sentence models 5 + r/14

2. We are to subtract 4 from the product of 3 and x. So part of the equation looks like: "3x-4". Since it is stated that 23 is the total sum, then the answer is: 3x - 4 = 23

What is 66% of 350? helpp​

Answers

Answer:

231

Step-by-step explanation:

Answer:

Write 66% as  

66/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

66/100

of 350 =  

66/100× 350

 

Therefore, the answer is 231

If you are using a calculator, simply enter 66÷100×350 which will give you 231 as the answer.

Step-by-step explanation:

GIVING BRAINLIEST

Wynter likes to take the long way to school each morning. He walks 4 blocks south and then 4 blocks west to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 320 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.

Answers

Answer:
Distance travel by Drew = 1,315.21 feet (Approx)
Step-by-step explanation:
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = Total distance in
north? + Total distance in west?
Distance travel by Drew = v9302 + 9302
Distance travel by Drew:
= V864,900 + 864,900
Distance travel by Drew = V1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)

Distance travel by Drew = 1,315.21 feet (Approx)

What is distance?

Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.

Given:

Total block in north = 3

Total block in west = 3

1 block = 310 feet

Find:

Distance travel by Drew

Computation:

Total distance in north = 3 × 310 = 930 feet

Total distance in west = 3 × 310 = 930 feet

Distance travel by Drew = Total distance in

north? + Total distance in west?

Distance travel by Drew = v9302 + 9302

Distance travel by Drew:

= V864,900 + 864,900

Distance travel by Drew = V1,729,800

Distance travel by Drew = 1,315.21 feet (Approx)

to learn about distance refer to:

https://brainly.com/question/11945643

#SPJ2

Please help with algebra question on empirical rule!!

Answers

Answer:

Step-by-step explanation:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

!!Help!!
solve for x​

Answers

WXY = XYW ( = 41 ) ⇒  XYW is a isosceles triangle

⇒ XW = YW

⇒ 54 = 6x + 6

⇒ 6( x + 1 ) = 54

⇒ x + 1 = 9

⇒ x = 8

ok done. Thank to me :>

Steel is a mixture of iron, carbon, and other elements. The table shows the number of parts each element in two different-sized samples of steel.

A table with the composition of two samples is shown. Sample one is ninety parts iron, three parts carbon, and seven parts other elements. Sample two is forty-five parts iron, one and a half parts carbon, and three and a half parts other elements.

Question 1
Part A

What is the unit rate of parts iron to parts carbon?

Enter the correct answer in the box.

parts iron per part carbo

Answers

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]

PLS HELP ASAP PLS I RLLY NEED HELP.

Answers

Answer:

THE ANWSER IS A

Step-by-step explanation:

YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE

BRAINLIEST
Can someone please explain how to answer these

Answers

Answer:

1) x = 13 (because other angle of the triangle is 45°.Then the foots faced to equal angles are equal)

Then we can calculate y by pythagoras law

[tex] {y}^{2} = {x}^{2} + {13}^{2} \\ {y}^{2} = {13}^{2} + {13}^{2} \\ y = \sqrt{2 \times 169} \\ y = 13 \sqrt{2} [/tex]

We can get answers for others by this way. If you want others answers text me in comment box

a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)

Answers

The smallest possible sum for the series is 91125

If zero is considered to be positive, the answer is zero (0).

otherwise

562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).

Moving the start, the smallest integer up 1 adds 1125 to the sum.

1125 = 9 * 125

1125 = 9 * 5³

= 9³ * 5³ is the smallest sum

= 45³

= 91125

Therefore the smallest  possible sum is 91125

for more questions like this see, https://brainly.com/question/19261165

What’s the answer to 2(x+3)

Answers

Hello there!

This isn't an equation, but here are some options for what you may be looking for!

Product, Multiplying, Evaluating, and Simplified Form: 2x + 6

Factor: 2(x+3)

Hope I helped,

Brainliest is always appreciated.

Happy Holidays.

There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold? ​

Answers

You start with 75 houses

2/5 were sold, which mean 3/5 remain
3/5 of 75 is 45

Then, 1/3 of the REMAINING (45) houses were sold. Since 1/3 were sold, 2/3 remain of 45.
2/3 of 45 is 30

30 houses are left to be sold

helppp pls alg2
How do the graphs of transformations compare to
the graph of the parent function?

Answers

This function, assuming that the parent function is g(x)= x^2, is compressed, translated down 8 units and is reflected over the x axis
(I believe this is what being flipped upside down is called, but it’s been awhile)

6-4x=7x-9x+2 whats the value

Answers

Answer:

x=2

Hope it's help

Brainliest plz

Answer:

x=2

Step-by-step explanation:

first collect the like term that is

6-2=7x-9x+4x

4=2x divide bothe sides by 2

X=2

7. A diver dove to a location 4
a
meters below sea
level. He then dove to a second location meters
below sea level. How many meters are there
between the two locations?

Plz help me quick

Answers

Answer 1 3/5 meter below sea level

In this case, a diver goes into two different location expressed with "meters below sea level" unit. To know the distance between the two location, then you need to subtract it.

Step-by-step explanation:

Distance = 2nd location - 1st location

Distance = 8 1/5 meter below sea level - 6 3/5 meter below sea level= 1 3/5 meter below sea level

The police are searching for a bank that has been on the run for two hours. Based on his running speed, the police believe he could be anywhere within an 8.5 mile radius of the bank. Find the area and circumference of the region in which they must search for the suspect. Round to the nearest whole unit.

Answers

Answer:

π is equivalent to 3.14

Circumfrance =  53

area = 227

Step-by-step explanation:

π is equal to 3.14

Circumfrance = 8.5*2*π

So 8.5 * 2 is 17 times π is 53.38

round to nearest whole number is 53

area is π * radius squared so

8.5 * 8.5 =72.25

* π is 226.865

round to the nearest whole number is 227

Pleaseeee help please

Answers

Answer:

109 degrees

Step-by-step explanation:

Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.

I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.

Hopefully this answer is right but sorry if it isn't.

Solve for x:

x+1/4 = 5/8

STEP 1: Cross multiply and write the new equation: ________

STEP 2: Add/Subtract on both sides and write the new equation: _______

STEP 3: Divide both sides of the equation and write the solution:
x = ________

Answers

Answer:

x = 3/8

Step-by-step explanation:

[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]

Cross multiply,

8*(4x +1) = 5*4

8*4x + 8*1 = 20

32x + 8 = 20

Subtract 8 from both sides

32x = 20 - 8

32x = 12

Divide both side by 32

x = 12/32

x = 3/8

What is the slope of the line?
3x-4y=73x−4y=7

Answers

Answer:

67x-7y2x-f8

Step-by-step explanation:

convert

b) 25 m³ to ft³
c) 11 ft² to in²​

Answers

Answer:

conversions are below

Step-by-step explanation:

b) 25 m³ = 882.867 ft³

c) 11 ft² = 1584 in²

Simplify the expression 4x^3x2x^3

Answers

8x^4 is the answer
(4×2)x^2x^2
8x^2x^2
8x^2+2= 8x^4


50 points!!! help fast! 50 points!!!

Answers

Answer:

∠PQC = 26.25°

Step-by-step explanation:

∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°

Finding ∠PQC

1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°

Answer:

This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed

Step-by-step explanation:

Robert climbed 775 step in 12 1/2 minutes.
How many steps did he average per minute?​

Answers

It would be an average of 62 steps per minute.

775/12 1/2 = 775/12.5 = 62

you can use long division to solve this as well

Answer:

62

Step-by-step explanation:

775 steps divided by 12.5 minutes is 62 steps per minute.

Please help! please find the answer!

Answers

Answer:

I’m pretty sure it’s the bottom one

Step-by-step explanation:

I think it’s the last one on the bottom I’m not completely shure tho
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