4. A right triangle has one leg.
measuring 15 meters and a
hypotenuse measuring 25 meters.
How long must the other leg of the
triangle be?
A 12 meters
B 15 meters
C 20 meters
D 24 meters

Answer:

4/5

Step-by-step explanation:

if it take 1/4 of an hour to mow 1/5 of his yard.

First you have to find out what is 1/4 of an hour which in order to find you have to multiply 1/4 by 60 because it has 60 mins in an hour. You now have 15 mins and we already know there are 60 mins so we divide 60 by 15 which give you 4 then you multiply 1/5 by 4 which gives you 4/5 or 0.8.

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer:

b≤2

Step-by-step explanation:

2+4b≤10

Subtract 2 from each side

2-2+4b≤10-2

4b≤8

Divide each side by 4

4b/4≤8/4

b≤2

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

h=3

Step-by-step explanation:

I divided -3.6 on both sides to get h by itself, and now I have h=-3.6/-10.8. combine like terms (-3.6/-10.8) and I got 3. My final answer would be h=3

Answer:

90 Minutes

Step-by-step explanation:

If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount

30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.

90 minutes

So 27 = 30%

30% + 30% + 30% = 90%

 27 +   27  +  27  = 81

30% ÷ 3 = 10%

27 ÷ 3 = 9

90% + 10% = 100%

81 + 9 = 90

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

Equation: y = 5x - 2

Step-by-step explanation:

Slope = Change in y / Change in x

Change in y = +5

Change in x = +1

Slope = 5/1 or 5

Y-intercept = y-value where x = 0

x = 0, y = 3-5

y = -2

y-intercept = -2

Finally;

Equation: y = 5x - 2

Hope this helps!

Answer:

y = 5x - 2

Step-by-step explanation:

(1,3) (2,8)

y2 - y1 / x2 - x1

8 - 3 / 2 - 1

5

y = 5x + b

3 = 5(1) + b

3 = 5 + b

-2 = b

Answer:

Jacob

Brennan

Adrienne

Valerie

Step-by-step explanation:

Positive and nonlinear follows the first one so that's Jacob's

clustering is in the fourth one so that's Valerie's

2 and 3 have an outlier so look at next one

negative and linear is the third one so that is Adrienne's and the second one is Brennan's

Answer:

$17.07

Step-by-step explanation:

Step 1: Find the percent of the price

Convert 7% to fraction

[tex]= \frac{7}{100}\\\\=\frac{7}{100}\times \:15.95[/tex]

Multiply

[tex]=\frac{7\times \:15.95}{100}[/tex]

Multiply the factors

[tex]7\times \:15.95=111.65\\\\=\frac{111.65}{100}[/tex]

Divide

[tex]\frac{111.65}{100}=1.1165\\\\=1.1165[/tex]

Step 2: Add the percent off to the original price

[tex]15.95 + 1.1165\\\\= 17.0665[/tex]

Therefore, the total cost including tax in the nearest cent is 17.07 dollars

Answer:

there were 20 two point questions =

there were 30 five point questions

Step-by-step explanation:

Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?

x + y = 50 eqn 1

2x + 5y = 160 eqn 2

this can be solved using simultaneous equation

multiply eqn 1 by 2

2x + 2y = 100 eqn 3

subtract eqn 3 from 2

3y = 60

y = 20

Substitute for y in eqn 1

x + 30 = 50

x = 20

Answer:

A

Step-by-step explanation:

I=PRN

=4500×(4.75/100)×3

=$641.25

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

Answer:

576 yards

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

5x + 15 = 10x

-5x            -5x

15 = 5x

/5     /5

3 = x

Answer:

Step-by-step explanation:

Answer:

mark did cause it said mark rented his books everyday and it was represented on the table

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

Step-by-step explanation:

its b

Answer:

y=-1/4x+1

Step-by-step explanation:

Hi there!

We're given the point (-8,3) and a slope of -1/4

lines are typically written in the formula y=mx+b, where m is the slope and b is the y intercept

as we are already given the slope, we can substitute its value into the equation

substitute -1/4 as m

y=-1/4x+b

now we need to find b

as the equation passes through the point (-8,3),we can use it to solve for b

substitute -8 as x and 3 as y

3=-1/4(-8)+b

multiply

3=2+b

subtract 2 from both sides

1=b

substitute 1 as b

y=-1/4x+1

Answer:

£12000

Step-by-step explanation:

Granddaughter -- 1/2 of x

Grandson -- 1/2(1/2 of x)

Brother -- 1/6 of x

Dogs' home -- £1000

Therefore,

[tex]\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x[/tex]

x = 12000

Thenks and mark me brainliest :)

Answer:

Length will be 173

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 53 degree as reference angle

using tan rule

tan 53=opposite/adjacent

1.32=BC/18

1.32*18=BC

23.76=BC

23.8=BC

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

D) Volume

Hope it helps you