4 km
3 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С:
kilometers

Answers

Answer 1

Answer:

5km

Step-by-step explanation:

The formula for hypotenuse is

a squared + b squared = c squared,

4 squared is 16, and 3 squared is 9.

16+9 = c squared

25 = c squared

However, you don't want it to be squared, so you have to find the square root of 25, which is 5.


Related Questions

Plzzz Help!
Determine the recursive function that defines the sequence.

Answers

Answer:

A

Step-by-step explanation:

The recursive rule allows any term to be found by multiplying the previous term by the common ratio r

Here r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{4}[/tex] = 5

Then

f(n) = 5 . f(n - 1) , for n ≥ 2 → A

Find the value of x for which ABCD must be a parallelogram

a. 0
b. 25
c. 4
d. 7

Answers

Answer:

d. 7

Step-by-step explanation:

A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.

Thus:

3x - 17 = 25 - 3x

Add 3x from each side

3x - 17 + 3x = 25 - 3x + 3x

6x - 17 = 25

Add 17 to both sides

6x - 17 + 17 = 25 + 17

6x = 42

Divide both sides by 6

6x/6 = 42/6

x = 7

Match the place value of each digit in 25.678.
Value: 5
:
Match the items.
a. Ones
b. Thousandths
C. Tens
d. Tenths
e. Hundredths

Answers

Match the place value of each digit in 25.678.

Match the place value of each digit in 25.678.Value: 5

5.000= ones......

Answer:

Ones

Step-by-step explanation:

In order the numbers are:

Tens

Ones

Tenths

Hundredths

Thousandths

The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?

Answers

Answer:

(-4, -4)

Step-by-step explanation:

On a 2D graph, moving to the right means going up the x axis, to the left means down the x axis, up means up the y axis, and down means down the y axis.

The point is translated 2 units to the right. This means that it is going up the x axis by two units. As it is going up, we can say that it is increasing. Therefore, on a coordinate (x,y), going up the x axis means we add to the x value. For the point (-6, -4), we add 2 to the x value, or -6, to get -6+2 = -4 as our new x value.

Our new end value is (-4, -4)

Need help please with the step by step explanation

Answers

Answer:

exponential decay (0,8)

Step-by-step explanation:

It’s (0,8) ur welcome

Solve the system of equations:
v=2x-4
y=x2 - 4

Answers

The choose (D)

(0,-4) and (2,0)

if x =2 y =3 find the value of x^2-xy^2+y^2​

Answers

Answer:

i hope it will help

Step-by-step explanation:

I did not get the equation so I solve it with two methods

Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer:

580

Step-by-step explanation:

Assuming that the answer should be in terms of z scores, we can calculate the z score as

z = (observed value - mean)/(standard deviation)

For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is

z = (86-71)/20 = 0.75

Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have

0.75 = (observed score - 550)/40

multiply both sides by 40 to remove a denominator

0.75 * 40 = observed score - 550

add 550 to both sides to isolate the observed score

0.75 * 40 + 550 = observed score = 580

A Triangle with an area of 24 square feet has a side of length 10 feet. If all 3 sides are even integers, what is the perimeter of the triangle?

Answers

Answer:

24 ft

Step-by-step explanation:

so, we don't know anything else about the triangle ?

ok, let's see.

the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2

At = 24 = side × height / 2

48 = side × height = 10 × height

height = 48/10 = 4.8 = 24/5

let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).

we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :

a² = height² + q² = (4.8)² + q² = 23.04 + q²

as all sides have to be even integers, a² has to be an even square number larger than 23.04.

and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.

the only candidates for a² are therefore 36 and 64 (6² and 8²).

in a similar way this applies to the left hand triangle side b tool.

b² = height² + p² = 23.04 + p²

with the same restrictions and possible solutions as a².

we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).

let's rule out a=b :

a=b wound also mean p=q=5

then

a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.

so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).

proof :

36 = 23.04 + 12.96 = 23.04 + q²

=> q = 3.6 ft

64 = 23.04 + 40.96 = 23.04 + p²

=> p = 6.4 ft

p+q = 3.6 + 6.4 = 10 ft

perfect, it fits, this is the correct solution

so, the perimeter of the triangle is

10 + 6 + 8 = 24 ft

EVALUATE: 10x – 2y3 (if x = 5 and y = 2)​

Answers

Answer:

10*(5) - 2*(2)^3

= 50 - 2*8

= 50 - 16

=34

Answer:

Step-by-step explanation:

với x=5 và y=2

phương trinh trở th a

10*  5 - 2 * 2^ 3

=50 -  2*8

=50 - 16

=34

PLS HELP ME ON THIS QUESTION!!!

Answers

Answer:

210 in³

Step-by-step explanation:

length = 10 in

Width = 7 in

Height = 3 in

Volume of rectangular prism = length * width * height

                                               = 10 * 7 * 3

                                                = 210 in³

Answer: Option D

210 in³

Volume of Rectangular prism = lwh

Height = 3in

Width = 7in

Length = 10in

Volume = 10(7)(3)

Volume = 210 in³

Must click thanks and mark brainliest

geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.


HELP ASAP!!!!
THANK YOUUUUU

Answers

Answer:

575sq. ft

Step-by-step explanation:

The diagram given can be divided into two rectangles.

Area of a rectangle = length * width

Area of the larger rectangle = 15 * (45 - 10)

Area of the larger rectangle = 15 * 35

Area of the larger rectangle = 525sq. ft

Area of the smaller rectangle = 5 * 10

Area of the smaller rectangle = 50 sq. ft

Area of the room = 525 + 50

Area of the room = 575sq. ft

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have. (Hint: one is the other simplified)

Answers

Answer:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

Step-by-step explanation:

Mrs. Sprott is planting a square garden in her backyard. The garden will
measure x feet on each side. Which function will give F(x), the area in
square feet of the garden?

Answers

Answer:

The answer the above question is f(x) = x²

Answer:

fdybg

gyani

2574387y

sngsrh

funddhhtffdsdnjjj

Which table of ordered pairs represents a proportional relationship?
plss help!

Answers

the second graph because 2x5=10, 4x5=20, 6x5=30!

what is the diameter of the circle shown?

Answers

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]a^2+b^2=c^2\\36+36 = c^2\\72=c^2\\c = 6\sqrt{2}[/tex]

Answer:

[tex]6\sqrt{2}[/tex] in

Step-by-step explanation:

this triangle is a right isosceles triangle. this means it is also a 45- 45- 90 triangle.

there is a special relation between the sides of a 45 45 90 triangle :

if the legs are 'x' then the hypotenuse is  '[tex]x\sqrt{2}[/tex]'

so in this case, the legs are 6 in. the hypotenuse (or diameter of the circle) is

[tex]6\sqrt{2}[/tex]

1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm

Answers

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.

Subject: Finding Range Using a Graph
In 10 words or fewer, what numbers do you think are in the range of f(x)?​

Answers

Answer:

4.7

Step-by-step explanation:

The red I think is hinting to the x.

Make a histogram, using a bin width of ten, to display the bowling scores for these 31 players: 87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75, 103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92.

Answers

Step-by-step explanation:

Using R, I used the following code to create a histogram:

bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,  

                   103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92)

data.frame(bowling.scores)

ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +  

 xlim(c(70, 120)) +

 scale_y_continuous(breaks = seq(0, 10, by=1), "Frequency") +

 geom_histogram(breaks=seq(70, 120, by=10), color="black", fill="grey60") +

 labs(title="Histogram of Bowling Scores", x="Bowling Scores", y="Frequency")

One angle on the base of an isosceles triangle is 30°. What is the measure of its vertical angle?​

Answers

Answer:

120 degrees

Step-by-step explanation:

vertical angle of isoceles = 180 - 2(base angles) = 180 - 2(30) = 120

Answer:

isosceles triangle means both angle or sides equal so in this way

unknown angle + 30 + 30 = 180°

unknown angle+60=180

so unknown angle=120°

which is vertical angle

Out of 120 students in exam, 2/3 of them passed. How many students passed?​

Answers

Out of 120 students in exam, 2/3 of them passed. How many students passed?

now,

no of students passed = 2/3×120

= 0.66×120

=80...

therefore 80 students were passed....

Answer:

80

Step-by-step explanation:

the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.

Answers

Answer:

Width: 160

Length: 80

Step-by-step explanation:

Width = 2x and length = x

X + 0.5x + 2x - 0.4x = 248

3.1x = 248

X = 248/3.1

X = 80

Width = (2)(80) and length = 80

PLS HELP AND GET IT RIGHT IM ACTUALLY FAILING AND DONT WANNA FAIL MORE ITS PYTHAGOREAN THEOREM

Answers

Answer:

A = 10

Step-by-step explanation:

Use formula: c = sqrt of a^2 + b^2

1) Put in known numbers:

26 = sqrt of a^2 + 24^2

But instead of adding you would subtract and rearrange the formula bc you already have C:

2) Solve:

A = sqrt of 26^2 - 24^2

A = sqrt of 676 - 576

A = sqrt of 100

A = 10

Sqrt: square root

Therefore, out answer… I hope this helps! Best of Luck! (\^ v ^/)

The data show the chest size and weight of several bears. Find the regression​ equation, letting chest size be the independent​ (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 372 ​pounds? Use a significance level of 0.05.

Answers

Answer:

y = 16.3216X - 330.3904

322 pounds;

Result is significant

Step-by-step explanation:

Given the data:

Chest size, x : 41,54,44,55,39,51

Weight, Y : 328,528,418,580,296,503

Using technology, the prediction model obtained by fitting the data is :

y = 16.3216X - 330.3904

Where, x = chest size ; y = weight

The best predicted weight of a bear with chest size of 40 is

Put x = 40 in the equation :

y = 16.3216(40) - 330.3904

Y = 322.4736

Y = 322 pounds

At α = 0.05

The regression Coefficient, R value obtained is 0.986 ; using this to obtain the Pvalue ;

df = n - 1

Pvalue(0.986, 5) = 0.00198

Since, Pvalue < α ; result is significant at α = 0.05

Which is an exponential decay function

Answers

Answer:

Letter A is your answer

Step-by-step explanation:

mark me brainliest

The measure of an exterior angle of a triangle is equal to the sum of the measure of the two ______ interior angles.

Fill in the blank question.
Please help.

Answers

Answer:

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of the measure of the two opposite interior angles.

Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds even though the video had already played 190 frames The video plays 252525 frames per second. How many frames had the video already played when the time was equal to -3 3/5

Answers

Answer:

105 frames

Step-by-step explanation:

Given that 25 frames are played per second

25 frames= 1 sec

The video already played 3 and 2/5 seconds before the player started to count 0

Write 3 and 2/5 seconds as an improper fraction

=(5*3)+2 / 5 = 17/5 seconds

Multiply by 25 frames

17/5 *25 =85 frames

So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames.Thus,to get the number of frames that were already in count you subtract 85 frames from the 190 frames.

190-85=105 frames.

Step-by-step explanation:

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.

A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250.

How does the word count of an essay relate to its score in the contest?

Word count tends to decrease as the score decreases.
Word count tends to increase as the score decreases.
Word count tends to remain constant as the score decreases.
Word count has no apparent relationship to the score of the essay.
Unmark this question

Answers

Answer:

The word count tend to decrease as the score decreases

Step-by-step explanation:

The 3-row table is presented as follows;

[tex]\begin{array}{ccc}Essay \ Rank&Essay \ Score&Word \ Count\\1&9.7&324\\2&9.5&352\\3&9.5&337\\4&9.0&318\\5&8.9&299\\6&8.9&304\\7&8.5&290\\8&8.4&291\\9&8.2&278\\10&7.0&250\end{array}[/tex]

The relationship between the values on the Word Count column and the values on the Essay Score column is that as the Essay Score decreases from the top down to the last row, the values on the Word Count generally decreases in the same manner (top down decrease)

Therefore, the Word Count decreases as the Essay Score decreases.

Question 3
Suppose that we have a 3 ft x 3 ft piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?

Answers

Answer:

2ft

Step-by-step explanation:

If you have a 3x3 you have a 9ft Sq paper. To have five feet left the removed square must be 4 square feet. 2x2 = 4 therefore 2ft per side

A line with slope 3 intersects a line with slope 5 at the point (10, 15). What is the distance between the x-intercepts of these two lines?​

Answers

Answer:

2

y = 3x-15

y=5x-35

x1=5

x2=7

distance between = 7-5 = 2

Step-by-step explanation:

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