JKL is a straight line.
JK = KL = KM.
Angle KLM = 58°
Work out the size of the angle marked x.
Give a reason for each stage of your working.
K
X Х
M M
589
L

Answer:

Area of the sector = 78.54 square meters

Step-by-step explanation:

Radius of the given circle = 10 meters

Sector bounded by the arc having measure = 90°

Angle subtended by the arc at the center = 90°

Area of the sector = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]

Here angle θ is the angle at the center subtended by the arc.

If angle θ = 90°

Therefore, area of the sector = [tex]\frac{90}{360}(\pi)(10)^{2}[/tex]

                                                = 25π

                                                = 78.54 square meters

Answer:

a = 45°

Step-by-step explanation:

2a + a + a = 180°

4a = 180°

4a ÷ 4 = 180° ÷ 4

a = 45°

Answer:

C. 14 feet

Step-by-step explanation:

THIS IS TO FIGURE OUT THE TRIANGLE

You have to do the Pythagorean Theorem, which is a² + b² = c²

Since h is the entire piece of wood including the additional 2 feet, I will use m as variable for triangle

Fill in for variables: 5² + m² = 13²

Simplify: 25 + m² = 169

Subtract 25 from both sides: m² = 144

Square root both sides to get m alone: m = 12

Now, you have to add the additional 2 feet above the triangle: 12 + 2 = 14

Therefore, h=14

Answer:

12

Step-by-step explanation:

The only answer that makes sense. If you use pythagorean theorem which is a^2+b^2=c^2, and c is the hypotenuse, which is the slanting side, you do this

12^2+5^2=13^2?

144+25=169

169=169

it checks!

Answer:

9.2 is the right answeer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the slope is negative and the y intercept is -1

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Answer: 5m,37,53

When you use the pythagorean theorem u find 5m

Answer:

hehe

Step-by-step explanation:

please

why

Answer:

Suppose that you have an initial quantity A.

If you have an increase of X%, the new quantity (NQ) is written as:

NQ = A + A*(X%/100%) = A*(1 + X%/100%).

Now, if we have an increase of 2% then:

NQ = A*(1 + 2%/100%) = A*(1 + 0.02)

And no we have another increase of 1%, then:

NQ = (A*(1 + 0.02))*(1 + 1%/100%) = A*(1 + 0.02)*(1 + 0.01) = A*1.0302

The single decimal multiplier that you can use to increase by 2% followed by a 1% increase is 1.0302

Answer:

siiiii

Step-by-step explanation:

Answer:

the difference is -69

Step-by-step explanation:'

Since there is a negative sign in between the +12 becomes -12 . The you subtract the both.

Basically its adding 57 and 12 but then making it negative. So you would get -69.

Answer:

total area = 530 ft^2

Step-by-step explanation:

bottom = 8 x 25 = 200 ft^2

2 sides = 8 x 5 x 2 = 80 ft^2

2 other sides = 25 x 5 x 2 = 250 ft^2

200 + 80 + 250 = 530 ft ^2

Answer:

19 is your answer right answer

Answer:

19

Step-by-step explanation:

9+10= 19

hope it helps

:p

Answer:

THE ANSWER IS 120

Step-by-step explanation:

AND SURE LETS TALKK

Answer:

24 × 5 is equal to 120

hi hi hi hi

:) :) :) :) :) :) :) :) :)

Answer:

15:22

the ratio of men to women in a karate class is 3.3:1. If there are 100 women, how many men are there?Step-by-step explanation:

Answer:

p = 3.6

Step-by-step explanation:

Our goal is to isolate P.

Let's start by adding 4 to each side:

8p = 28.8

Next, we will divide each side by 8:

p = 3.6

Hope this helped! :)

Answer:

A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units

Step-by-step explanation:

1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.

A = πr²

A = (3.14)(3)²

A = (3.14)(9)

A = 28.26 cm², like in your work.

2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.

P = 2l + 2w

P = 2(12) + 2(7)

P = 24 + 14

P = 38 units

3) The formula for a triangle's area is A = [tex]\frac{1}{2}[/tex]bh, so we substitute for b = 10 and h = 4.

A =  [tex]\frac{1}{2}[/tex] bh

A =  [tex]\frac{1}{2}[/tex] (10)(4)

A =  [tex]\frac{1}{2}[/tex] (40)

A = 20 units²

4) Circumference is 2πr, and we substitute for r = 7.

C = 2πr

C = 2(3.14)(7)

C = (3.14)(14)

C = 43.96 units

Answer:

$143

Step-by-step explanation:

10% = 0.10

130 * 0.10 = $13

$130 + $13 = $143

Answer:

13=tip 143=total

Step-by-step explanation:

dived 130 by 10 also that's a lot of Money

Answer:

40

Step-by-step explanation:

Can fit 4 length wise, 5 width wise, and 2 depth wise. So 40 packages total.

Answer:

C

Step-by-step explanation:

The key here is she wants to make "at least", implying that you have an inequality.  If she cecks the house 4 times plus the 2 overnight stays then she will have exactly 150, so that is the least needed to reach her goal.  So at least automatically turns it into an inequality.

Answer:

x=2/3+1/3[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2−4x−2=0

For this equation: a=3, b=-4, c=-2

3x2+−4x+−2=0

Step 1: Use quadratic formula with a=3, b=-4, c=-2.

Answer:

16q^(2)m^(4)p^(4)

Answer: Total (Bill + Tip ) = $ 16 ( Tip = 3$ )

Step-by-step explanation:

i only have the answer :3

Answer:

99 is 9 times 11 144 divide by 9 is 16

Answer:

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]

Answer:

this is the answer

Step-by-step explanation:

thanyou

Answer:

Um 1.5 is less than 16 so it wont be a mixed number.

Step-by-step explanation:

Did you type the question wrong?

Step-by-step explanation:

1.5 is the less that 16 that why it is the mixed fraction

i think is the best answer to the question

c)5.6

You are asking investors for $100,000 each and promising to distribute to them profits of $15,000 each for the first 4

years and $25,000 each per year thereafter. Which of the following is closest to the number of years it will take for investors to get their

money back?

a)1.6

b)3.0

c)5.6

d)8.0

Answer:

I believe 72 years

Step-by-step explanation:

it has to be twenty characters so this to make it long enough

Answer:

12 years

Step-by-step explanation:

144,000.00 / 2,000.00 is 72 times that he deposited 2,000.00 in order to get 144,000.00.  If he deposits once every 2 months then he would have deposited 72 months x 2.  That is 144 months he took to deposit that much.  144 / 12 months in a year is 12 years.  He takes 12 years to save 144,000.00.

Answer:

14

Step-by-step explanation:

The total number of cookies was 35.

35 - 21 = 14

Answer:

She brought 35 cookies to class

x=5

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Step-by-step explanation:

diagonals of the rhombus bisect each other at right angles .

5a = 90

a = 90/5 = 18

in ∆ OCD:

5a + 2a + b = 180

7a+ b = 180

b = 180 - 7 ( 18)

b = 180 - 126

b = 54 °

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.☺️

Answer:

a = 18°

[tex] b= 108\degree [/tex]

Step-by-step explanation:

ABCD is a rhombus.

AC and BD are its diagonals

Diagonals of a rhombus bisects at right angles.

Therefore,

5a = 90°

a = 90°/5

a = 18°

2a = 2*18° = 36°

Diagonals of a rhombus bisects the opposite angles.

Therefore,

[tex] m\angle ADC = 2(2a)[/tex]

[tex] m\angle ADC = 2\times 36\degree [/tex]

[tex] m\angle ADC = 72\degree [/tex]

[tex] m\angle ADC+m\angle DCB= 180\degree [/tex]

(Adjacent angles of a rhombus are supplementary)

[tex] 72\degree+b= 180\degree [/tex]

[tex] b= 180\degree-72\degree [/tex]

[tex] b= 108\degree [/tex]