An acute isosceles triangle has an angle that measures 80 degrees which is located across from the longest
measures 64 units. A student states that she can determine the measures of the other two angles in the triangle. What is the measure of
one of the angles? Give the measure of one angle (since they are the same degree).

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:

same side interior angles

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

Explanation :

⠀

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

Step-by-step explanation:

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:

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

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:

Es 711

Hope this helps!

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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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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:

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient m using the slope formula

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

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 8) ← 2 points on the line

m = [tex]\frac{8-0}{5-1}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Solution:

Note that:

First, let's convert the yards into feet.

Now, divide 18 both sides to find the cost of 1 foot.

The price of the twine per foot is $0.16.

The first step is to convert yards to foot: 1 yard = 3 foot

In order to convert yards to foot, multiply 6 by 3: 6 x 3 = 18 foot

The price per foot can be determined by dividing $2.88 by 18 foot

$2.88 / 18 = $0.16

To learn more about division, please check: https://brainly.com/question/194007

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:

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

The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.

For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,

[tex](a+b)^2=a^2+2ab+b^2[/tex]

            [tex]=x^2+8x+16[/tex]

Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.

[tex](x+4)^2=x^2+8x+16[/tex]

Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

Learn more about Perfect Square Trinomial:

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16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).

A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.

The perfect square obtained from the given equation is  (x + 4).;

On squaring we get;

[tex](x + 4)^2 = x^2 + 8x + 16.[/tex]

16 is the only constant term in the equation.

Hence 16 is the constant term that is necessary to complete the perfect square.

To learn more about the perfect square refer to the link;

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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:

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:

$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:

[tex]31 \frac{4}{15}[/tex]

Step-by-step explanation:

(convert the mixed numbers into improper fractions = [tex]a\frac{b}{c} = \frac{a*c+b}{c}[/tex] )

[tex]\frac{4*3+2}{3}*\frac{6*10+7}{10}[/tex]  

Steps if needed:

4*3 = 12+2 =14

6*10=60+7=67

[tex]\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}[/tex]

= [tex]\frac{938}{30}[/tex]

Simplify: Divide by 2

[tex]\frac{469}{15}[/tex] || 938/2 = 469   30/2 = 15

Convert your answer to a mixed fraction

[tex]31\frac{4}{15}[/tex]

469/15 = 31.26....

15*31 = 465

465+4 = 469

So your answer is 31 4/15

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:

8 times longer

Step-by-step explanation:

The actual garden is 8 times the blueprint.

Reasoning? 56/7=8

How to check:

Use inverse operations:

7*8=56

Solution:

It should be noted:

Using the formula:

Correct option is A.

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:

it would be 800-300 =500.

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.

Answer:

B, between 3 and 4 miles

Step-by-step explanation:

We know that h is 9.

√1.5*9

1.5*9=13.5

This can be done without a calculator.

if we know that √13.5 is in between √9 and √16 and that √9=3 and that √16 is equal to √4, it can be concluded that the answer is in between 3 and 4.

Answer:

The LCM of 26 and 32 is 416.

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:

i think it it false, true, false

hope that's right lol

Step-by-step explanation: