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

The Temperature decreased from 71.50 F to 56.80 F overnight. How much did the temperature drop? Find the difference.

Answers

Answer:

Temperature difference: 14.70°F

Step-by-step explanation:

Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:

71.50°F - 56.80°F = 14.70°F

Therefore, the temperature decreased by 14.70°F overnight.

What numbers could be at each letter?
A=

B=

C=

D=

E=

Answers

Answer:

A= 1

B= 2

C = 3

D = 4

E = 5

And so on going on for the 26 letters. But no clue since you said "could"

Kate had 50 thousands-blocks in her package of base-ten blocks. How many ten thousands-blocks does that equal?

5

50

500

5000

Answers

Step-by-step explanation:

50000÷10

=5000

MARK ME BRAINLIEST

Evaluate 1/5 of 175 please

Answers

Answer:

35

Step-by-step explanation:

1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.

[tex]\frac{1}{5}*175[/tex] [tex]\frac{175}{5}}[/tex] [tex]35[/tex]

Therefore, the answer is 35.

someone please help me ASAP!!!

Answers

Answer:

14.1372 m

Step-by-step explanation:

When surrounded by smaller circles, a center circle will appear ________ than if surrounded by larger circles.

Answers

Larger
Extra characters for posting answer

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

Learn more about perception in https://brainly.com/question/7337201

1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.

Answers

Step-by-step explanation:

perimeter=2(l+b)

check the picture for more clarification

the total surface area of an cube is 294cm2 work out the volume of the cube

Answers

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

I need help I’m really bad at math but the photo thing is not working

Answers

the answer is 2. I hope this helps :)

-28- 15 + 3
_________
8-(-2)

Answers

Answer:

-4

Step-by-step explanation:

First, you want to solve each equation.

-28-15+3

-43+3

-40

8-(-2)

8+2

10

Then divide.

-40÷10=-4

PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS

Answers

Answer:

1.the first one is the distance from home

2. is 91

3.increases by 91 i belive tht should be correct

Step-by-step explanation:

help with these sum please it is math

Answers

Answer:

Step-by-step explanation:

24 ) Before, so -5 sec

25) after. So,  + 5 sec

26) + 50 c

27) -50 c

28) - 1 min

29)  + $ 50

30)  - $ 5

31)  +5

32) - 5

The person above me is correct:D. Hope this helps 32)-5

Answer number eleven and thirteen please

Answers

Answer:

Both are right triangles

Step-by-step explanation:

Use Pythagorean to decide

#11

Sides 12, 16, 20

12² + 16² = 20²400 = 400Right triangle#13

Sides 2.4, 4.5, 5.1

2.4² + 4.5² = 5.1²26.01 = 26.01Right triangle

Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?

Answers

Answer:6

Step-by-step explanation:

A recipe for 2 dozen cookies uses 300 grams of flour, 250 grams of butter,
and 150 grams of sugar. How much of each ingredient would be required to make 120 cookies?
Flour:
grams
Butter:
grams
Sugar:
grams

Answers

Flour; 1500grams
Butter; 1750grams
Sugar;750 grams

The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle? ​

Answers

length=22m

breadth=14.67

what multiples to -36 but adds to 16

Answers

Answer:

answer in the link below

mathhelp.mhlp

Step-by-step explanation:

#16 i
MODELING REAL LIFE A public university charged $9200 for tuition and fees in the 2014-2015 academic year. This cost
increased at a constant rate and reached $10,900 in the 2019-2020 academic year. Estimate the cost of tuition and fees in the
2023-2024 academic year.

Answers

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]

A linear function is represented as:

[tex]\mathbf{y = mx + b}[/tex]

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

[tex]\mathbf{10900 = 5m + 9200}[/tex]

Subtract 9200 from both sides

[tex]\mathbf{1700 = 5m}[/tex]

Divide both sides by 5

[tex]\mathbf{340 = m}[/tex]

So, we have:

[tex]\mathbf{m =340 }[/tex]

The function becomes

[tex]\mathbf{y = mx + b}[/tex]

[tex]\mathbf{y = 340x + 9200}[/tex]

In the academic year 2023-2024, x = 9.

So, we have:

[tex]\mathbf{y = 340x + 9200}[/tex]

[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]

[tex]\mathbf{y = 3060 + 9200}[/tex]

[tex]\mathbf{y = 12260}[/tex]

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

https://brainly.com/question/21107621

There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 7.3% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .

Answers

Answer:

y = 350*0.927^t

Step-by-step explanation:

Initial amount = 350 mgDecay = 7.3% per year or 0.073Time = t yearsFinal mass = y

The equation:

y = 350*(1 - 0.073)^t = 350*0.927^t

6 times 8 = ? times 6

Answers

6 * 8 = 48

6 • 8 = 48

6(8) = 48

48 * 6

= 288

Answer:288

Step-by-step explanation:

6×8=46 and

46×6=288

Find the perimeter. Simplify your answer.

Answers

Answer:

wild guess, 50

Step-by-step explanation:

10s+3+10s+3+3s+9+3s+9= 50

SOMEONE PLEASE HELP IM FAILING HS

2-20. Evaluate each expression for x=-2 and y=-5.

a. 1-2x + 3y
b. -|x-y|
c. √x^2 + ^3√x^3
d. 1/2x+1/3y​

Answers

Answer:

a. 1-2(-2) + 3(-5) = 1-4 -15 = -18

b. -|-2--5| = |3| = -3

d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3

Hope it works

x-3y=-14
x-y=-2
substution method

Answers

Answer:

(4, 6 )

Step-by-step explanation:

x - 3y = - 14 ( add 3y to both sides )

x = - 14 + 3y → (1)

x - y = - 2 → (2)

Substitute x = - 14 + 3y into (2)

- 14 + 3y - y = - 2

- 14 + 2y = - 2 ( add 14 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

Substitute y = 6 into (1)

x = - 14 + 3(6) = - 14 + 18 = 4

solution is (4, 6 )

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 31 minutes of calls is $20.97, and the remaining credit after 50 minutes of calls is $18.50. What is the remaining credit after 54 minutes of calls?

Answers

Answer:

The credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

Step-by-step explanation:

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

:

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

:

Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).

Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:

Answers

Answer:

[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]

Step-by-step explanation:

First problem. If you want a parallel to a given line, you keep the slope.

Then we use the point-slope form of a line

[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.

[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]

The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.

[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]

At this point we have everything, let's replace and write down the line in a better looking form

[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]

school x and school y play each other in a competition
school x has eight more than school y
school x has three times as many points as school y.

how many points does each school have ?

Answers

Answer:

x=12 y=4

Step-by-step explanation:

x=y+8

x=3y

x=y+8 times 3

3x=3y+24

x=3y

3x=3y+24 - x=3y

2x=24

x=24

24-8=4

4 times 3 =12

Jenny drove 335 miles in 5 hours at the same rate how long would it take her to drive 871 miles?

Answers

Answer: x = 13 hours

Step-by-step explanation:

335 miles/5 hours = 67 mi/hr

(67 mi/hr)x = 871 miles

x = 13 hours

How to find Y intercept of the line passing through the points

Answers

Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

Slope

We must first solve for the slope of the line using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]

Hence, the slope of the line is:  [tex]\sf{m\:=\frac{4}{3}}[/tex] .

Y-intercept:

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT IM SO CONFUSED!!!! ):

Answers

Answer:

you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:

Matilda and Nancy are miles apart, bicycling toward each other on the same road. Matilda rides miles per hour and Nancy rides at miles per hour. In how many hours will they meet

Answers

Answer:

it will take 3 hours For them to cover 60 miles and meet

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

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