In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=84°, and IJ = 2.9 feet. Find the length of JH to the nearest tenth of a foot.

Answer:

probability is 0.67

Step-by-step explanation:

We know that Angle in a circle = 360°

Area of total shaded parts = 60 + 60 = 120°

Area of total unshaded parts = 360-120 = 240°

Probability that a random selected point within the circle falls in the unshaded area

= 240/360

= 2/3= 0.67

Probability that a randomly selected point within the circle falls in the white area will be [tex]0.67[/tex] .

Probability is the ratio of the number of outcomes to the total number of possible outcomes.

Probability [tex]=\frac{Number\ of\ possible\ outcomes}{Total\ number\ outcomes}[/tex]

We have,

Radius [tex]=4[/tex] cm

Now,

Area  of Circle [tex]=\pi r^{2}[/tex]

Area  of Circle[tex]=\frac{22}{7} *4^2=50.28\ cm^2[/tex]

Now,

Area of minor segment [tex]=\frac{\theta}{360^0} *\pi r^{2}[/tex]                                    

Area of minor segment [tex]=\frac{60}{360} *\frac{22}{7}* 4^{2}=8.38\ cm^2[/tex]

Now,

We have two  minor segment,

Area of two minor segment [tex]=8.38*2=16.76\ cm^2[/tex]

Now,

Area of white Portion [tex]=50.28-16.76=33.52\ cm^2[/tex]

Now,

Probability [tex]=\frac{Number\ of\ possible\ outcomes}{Total\ number\ outcomes}[/tex]

Probability [tex]=\frac{33.52}{50.28}=0.67[/tex]

So, the Probability of white area is [tex]0.67[/tex] .

Hence, we can say that Probability that a randomly selected point within the circle falls in the white area will be [tex]0.67[/tex] .

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Answer:

I think what you are asking for is an example.

Step-by-step explanation:

Standard form equation

8x-4y = 20

1. move 8x to the other side

-4y=20-8x

2. divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{20-8x}{-4}[/tex]

3. Solve for this...

y=2x-5

Answer:

14

Step-by-step explanation:

the four smaller rectangles of each of the corners: 2*1=2. since there are four of them, 2*4=8

the middle, larger rectangle: (6-2-2)*(1+1+1) = 2*3 =6

add small and big rectangles: 8+6 = 14

Answer:

14

Step-by-step explanation:

6*3-2(2*1)

=18-4=14

Answer:

He is not correct

Step-by-step explanation:

10 x 50 = 500

500 + 10 = 510

510 represents plant 1 height after 50 weeks

8 x 50 = 400

400 + 18 = 418

418 represents plant 2 after 50 weeks

they're not the same height

Answer: No he is not correct

Step-by-step explanation:

plant 1 will be taller than plant 2 at 50 weeks

do 50 times 10 = 500in

do 50 times 8 = 400in

Answer:

see image

Step-by-step explanation:

You are multiplying x² - 4x + 4 and 6x + 3.

This is set up like:

6x + 3(x² - 4x + 4)

To solve this, we want to multiply each term that is outside of the parentheses with each term that is inside of the parentheses.

Let's start with 6x.

6x • x² = 6x³

6x • -4x = -24x²

6x • 4 = 24x

These numbers will be in the first blank row.

Now, let's move onto 3.

3 • x² = 3x²

3 • -4x = -12x

3 • 4 = 12

These numbers will be in the second blank row.

Now let's write all these numbers together.

6x³ - 24x² + 24x + 3x² - 12x + 12

Combine like terms, pay attention to the exponent.

6x³ - 21x² + 12x + 12

Refer to the completed table below.

Hope this helps!

Answer:

1/5

Step-by-step explanation:

There are a total of 6 items in the beginning. In the first selection, there is a 3/6 chance that she selects a pen. Since she does not return it to the box, there are 5 items left. The possibility to select a marker is 2/5. Simply multiply the two fractions. You will get 1/5.

Answer:

it's 25 cm

Step-by-step explanation:

Volume = 225π

or πr²h= 225π

or r²h= 225

or h= 225/r²

here diameter d = 6cm so radius r=d/2 = 3cm

or h= 225/3²

hence h= 25cm

Answer:

17.5

I hope this helped :)

Answer:

17.5

Step-by-step explanation:

ANSWER:

J:

(5,-10)

K:

(15,-6)

L:

(15,-15)

Answer:

The angle is 50 degrees.

Step-by-step explanation:

In order to measure the angle, you take the three points: F, H, and G, and it forms the angle which is pointing at 50.

Step-by-step explanation:

Given:

The recipe calls for [tex]\dfrac{3}{8}[/tex] cup of chili powder.

Karl only wants to use half as much so it won’t be so spicy.

To find:

How much chili powder should Karl use?

Solution:

We have,

Chill power for recipe = [tex]\dfrac{3}{8}[/tex] cup

Chill power used by Karl is half  of chill power for recipe.

[tex]\text{Chill power used by Karl}=\dfrac{1}{2}\times \dfrac{3}{8}[/tex] cup[tex]\text{Chill power used by Karl}=\dfrac{3}{16}[/tex] cup

Therefore, [tex]\dfrac{3}{16}[/tex] cup of chili powder should Karl use.

Answer:

Step-by-step explanation:

8. 7.5 Goes up by 2.5.

9. 7.3 Goes down by 2.1

10. 116/3

Answer:

8- 7.5

9-7.3

10-38 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

at the picture or the a b c d ?

Answer:

43

Step-by-step explanation:

All the angles in a triangle add up to 180. Then you find the supplement of 93 so thats 87. Then you add 87 to 50 and subtract that from 180. 43

Answer:

yup

Step-by-step explanation:

Answer: 2.378.

Step-by-step explanation:

perimeter of square= 4×side

32= 4×side

32/4= side

8= side

hope it helps you friend!!

Answer: The answer to this question is 13.

Step-by-step explanation:

The two triangles are congruent by A.S.A axiom making the opposite sides AD and DC equal.

Answer:

The great common factor is:

Steps:

given:

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

---------------------------------

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

Answer:

correct me if im wrong bb

Answer:

write down am pm

have a great day ahead

Answer:

sorry i don't know

Step-by-step explanation:

Answer:

sin A = a/c

Step-by-step explanation:

The shape of Joy’s room is a rectangle 540 cm long by 250 cm wide.

a. Work out the area of his room in Square meters.

b. How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Work out the area of his room in Square meters.

We know that:-

Area of a rectangle = (length × breadth)sq.units

Therefore,

Area of the rectangular room = (5.4 × 2.5) square meters

=> Area of the rectangular room = 13.5 square meters.

Area of his room is 13.5 square meters.

How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Flooring cost in 1 squre meter = $40

Flooring cost in 13.5 square meters = $(40 × 13.5) = $540

He pays $540 to buy flooring for his room.

Hope this helps you!! (^_^)

Answer:

degree of the polynomial = 7

Number of terms = 2

Name = binomial

leading coefficient = 5

Step-by-step explanation:

The polynomial is x³y² - 5x³yz³

The degree of a polynomial is the highest exponent of any of its variables.

But in this case where we have two variable together, we sum up their exponents and the Hughes one will be the degree of the polynomial.

Thus;

x³y² has a degree of 3 + 2 = 5

5x³yz³ has a degree of 3 + 1 + 3 = 7

Thus,7 is the highest and the degree of the polynomial is 7.

There are two terms which are x³y² and 5x³yz³

Since it has two terms, it is a binomial.

To get the coefficient, I will rearrange in descending order of degree;

-5x³yz³ + x³y²

Thus, leading coefficient = 5

Answer:

2x^3 + 20x^2 -12x

Step-by-step explanation:

I think

Area=2.5

Step-by-step explanation:

area

[tex]area = length \times width[/tex]

[tex]area = 10 \times \frac{1}{4} [/tex]