simplify each expression
5/4÷7/16
-10/13×5/11
9/11÷(-20/21)
-8/3÷(-5/18

Answer:

Es 711

Hope this helps!

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The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

The radius of the semicircle is 6 feet and the distance from F to E is 3 feet. The measure of an arc is 45°.

First, the sector is the part of the circle made of the arc of the circle along with its radii. The area of the sector of a circle is represented by

The angle of the sector is 360°

The area of the circle [tex]\rm \pi r^{2}[/tex] and the angle is ∅

The area of the sector,  [tex]\rm A= \frac{\Theta}{360} \times\pi r^{2}[/tex]

Here, the area of the glass in region BCIHis the difference between the area of the sector of region BCIGH and the region HIG.

The area of the region BCIH

[tex]\rm = \frac{\ 45}{360} \times\pi (6^{2} -3^{2} )[/tex]

[tex]\rm = \frac{\ 1}{8} \times\pi (27 )[/tex]

[tex]\rm = 10.5\; ft^{2}[/tex]

Hence, The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

Learn more about the area of the sector here;

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Answer:

11 ft2

Step-by-step explanation:

hope this helps

Answer:

[tex]3x + 4y = 12 \\ 3x - 4y = 5 \\ 6x = 17 \\ x = \frac{17}{6} \\ 3 \times \frac{17}{5} - 4y = 5 \\ 51 \div 5 - 4y = 5 \\ \\ 10.2 - 5 = 4y \\ y = \frac{5.2}{4} [/tex]

Answer:

Step 3 is wrong

Step-by-step explanation:

[tex]x_1=\frac{-\left(-6\right)+14}{2\cdot \:5},\:x_2=\frac{-\left(-6\right)-14}{2\cdot \:5}[/tex]

is how she shouldve put it in

Answer:

Step-by-step explanation:

Binomial distribution:  [tex]X \sim B(n,p)[/tex]

where n is the number and p is the probability

Given:

[tex]X \sim B(12,0.8)[/tex]

P(X ≥ 10) = 1 - P(X ≤ 9)

              = 1 - 0.4416542515...

              = 0.5583 (4 dp)

1244.57 cm²

Step-by-step explanation:

Given:

Hence, radius will be :

➝ diameter/2

➝ 24/2

➝ 12m

[tex] \: [/tex]

To Find:

Solution:

As, we know:

[tex] \star \quad{ \underline{ \green{ \boxed{TSA_{(cone)} = \pi r( l+r ) }}}} \quad\star \quad[/tex]

Here,

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (21 + 12)[/tex]

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (33)[/tex]

[tex]\rightarrow \: \frac{8712}{7} {cm}^{2} [/tex]

Therefore, Total Surface Area of Cone is 8712/7 cm² or 1244.57cm².

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Answer : 6

Explanation : 6 Is The Smallest  Number Which Is The Sum Of 1, 2, And 3. Other Perfect Numbers Are 28, 496, And 8,128.

Answer: 6

Step-by-step explanation: is A Perfect Number

Given :

⠀

To find :

⠀

Solution :

⠀

We know,

[tex]{ \longrightarrow{\qquad \sf{ \pmb {\dfrac{1}{2 } \times (b_{1} + b_{2}) \times h = {Area_{(Trapezoid)} } }}}}[/tex]

⠀

Now, Substituting the values :

⠀

[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times (2 + 6) \times h = {60 } }}}}[/tex]

⠀

[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times 8 \times h = {60 } }}}}[/tex]

⠀

[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{8}{2 } \times h = {60 } }}}}[/tex]

⠀

[tex]{ \longrightarrow{\qquad \sf{ 4 \times h = {60 } }}}[/tex]

⠀

[tex]{ \longrightarrow{\qquad \sf{ h = { \dfrac{60}{4} } }}}[/tex]

⠀

[tex]{ \longrightarrow{\qquad \sf{ \pmb { h = {15} } }}}[/tex]

⠀

Therefore,

Answer:

To find out if a point is inside, on, or outside a circle, we need to substitute the ordered pair into the equation of the circle:

(x-xc)^2+(y-yc)^2=r^2

where (xc,yc) is the centre of the circle, and r=radius of the circle.

If the left-hand side [(x-xc)^2+(y-yc)^2] is less than r^2, then point (x,y) is INSIDE the circle.  If the left-hand side is equal to r^2, the point is ON the circle.

Finally, if the left-hand side is greater than r^2, the point is OUTSIDE the circle.

For the given problem, we have xc=3, yc=0, or centre at (3,0), r=sqrt(49)=7

(x-xc)^2+(y-yc)^2=r^2 => (x-3)^2+y^2=7^2

A. (-1,1),

(x-3)^2+y^2=7^2 => (-1-3)^2+1^2=16+1=17 <49  [inside circle]

B. (10,0)

(x-3)^2+y^2=7^2 => (10-3)^2+0^2=49+0=49  [on circle]

C. (4,-8)

(x-3)^2+y^2=7^2 => (4-3)^2+(-8)^2=1+64=65 > 49  [outside circle]

Step-by-step explanation:

Answer:

b = 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 18 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-18}{-3-2}[/tex] = [tex]\frac{-10}{-5}[/tex] = 2 , then

y = 2x + b

to find b substitute either of the 2 points into the equation

using (2, 18 )

18 = 4 + b ⇒ b = 18 - 4 = 14

Answer:

i think it it false, true, false

hope that's right lol

Step-by-step explanation:

The translated function is:

g(x) = √(x - 3) - 9

The transformations used here are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

So, if we have a translation of 3 units right and 9 units down, this would be written as:

g(x) = f(x - 3) - 9

Replacing f(x) by the actual function we get:

g(x) = √(x - 3) - 9

If you want to learn more about translations, you can read:

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Answer:

x=31.66

Step-by-step explanation:

1st i did 600-125=475

so now i have to do 475 divided by 15

that is 31.66

so she has to wait 31.66 weeks to get the $475 dollars she needs

Answer:

3. f = gh

4. r = 1/s³

5. y = x[tex]\sqrt{z}[/tex]

6. m = n²/p

7. Inverse variation, s is constant

8. Direct Variation, x is constant

9. joint variation, q and r are both constants

10. Direct variation, r is constant

11. Joint variation, r and h are both constants

12. Inverse variation, x is constant

13. y = kx

17.5 = 21k

k = 21/17.5

y= (21/17.5)*39

y = 46.8

14.

m = kn

209 = 22k

k = 209/22

361 = (209/22)n

n = (361*22)/209

n = 38

Answer:

Bottom left

Step-by-step explanation:

The limit as x approaches infinity is 3, so there is a horizontal asymptote at 3. So eliminate top left and bottom right.

Also, the fraction 2/(x-1) is undefined when x=1 (since the denominator is 0), so there is a vertical asymptote at x=1. Eliminate top right

So, your answer is the bottom left graph.

Answer:

same side interior angles

3. What are pair relation exists between angle 7 and angle 4?

Explanation :

⠀

Answer: The population would be a total of 8,800 people.

Step-by-step explanation: Currently speaking, a town's population is 1,100 people in total.  Since it doubles every 60 years, it would double 3 times in total, because 180 / 60 equals 3.  2 x 1,100, then 2 x 2,200, and then 2x 4,400, gives you 8,800.

Have a great day! :)

Answer:

200000 x 1.05^3=231525

Step-by-step explanation:

X 1.05 because the price is increasing by 5% and ^3 because there are three years between 2014 and 2017

Answer:

between 3 and 4 around 3[tex]\frac{3\\}{4}[/tex]

Answer: 3.5

Step-by-step explanation:

You want to choose two numbers that have perfect roots. One above 14, and one below 14. The nearest two perfect roots to 14 is 9 and 16. We have the following inequality:

[tex]\sqrt{9} < \sqrt{14} < \sqrt{16}[/tex]

[tex]3 < \sqrt{14} < 4[/tex]

This means the square root of 14 is somewhere between 3 and 4. A good estimate would be 3.5

Answer: -39/10 alternative forms : -3 9/10, -3.9

Step-by-step explanation:

Answer:

The answer is B.63

Explanation:

63 is a composite number because a composite numbers is any positive number which is not a "prime number"

Answer:

  (a)  3x² -5

Step-by-step explanation:

The shift down is accomplished by subtracting 5 from the function value. (Eliminates choices B and D.) The function graph is made narrower by a vertical expansion or a horizontal compression. Either way, the coefficient of the x² term will be greater than 1. (Eliminates choice C.)

The transformed function g(x) = 3x² -5 will be narrower and shifted down from the parent function.

The balloon’s vertical distance above the ground is 570.3 feet

Given the following parameters

The angle of depression = 36 degrees

Base distance =  785 feet

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence  the balloon’s vertical distance above the ground is 570.3 feet

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Answer:

$6.60

Step-by-step explanation:

1 pound of blueberries = $3.50

if 0.6 pound = 3.50 × 0.6 = 2.10

1 pound of oranges = $2.50

if 1.8 pound = 2.50 × 1.8 = 4.50

Total = $4.60

Answer:

180/15=12 12x6=72 12x8=96... 12, 72, 96?

Answer:

Mine was a fashion designer or a model. The model part died out because of my insecurities. But Fashion design is still something I am interested in,

Step-by-step explanation:

Step-by-step explanation:

[tex]y = \frac{2x}{5} [/tex]

crossmultiply

[tex]5y = 2x[/tex]

divide both side by 2, to make x alone

x = 5y / 2

pls give brainliest

Answer: 7 feet

Step-by-step explanation: I did it trust

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

(c+a)>b

There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is c meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

[tex]24+30 > c\\54 > c[/tex]

For the sides 24 ft and c ft,

[tex]24+c > 30\\c > 30-24\\c > 6[/tex]

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

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