Classify each triangle with the set of side lengths given as acute, right, or obtuse.

Experimental probability of the name Alex being drawn is 4/10

This is because out of the ten times a name was drawn, Alex was drawn four times.

If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.

This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.

Answer:

5 < L < 18,5

5 < L < 18,52 < W < 5,5

Step-by-step explanation:

longeur = length = L

largeur = width = W

L = 3W +2

12 < 2L+2W < 48

———————————————

12 < 2*(3W+2)+2W < 48

12 < 6W+4 +2W < 48

12 < 8W+4 < 48

8 < 8W < 44

2 < W < 5,5

———————————————

12 < 2L+2W < 48

L = 3W +2

L - 2 = 3W

L/3 -2/3 = W

12 < 2L +2*(L/3 -2/3) < 48

12 < 2L + ⅔L -4/3 < 48

12 < 2⅔L -4/3 < 48

13⅓ < 2⅔L < 49⅓

5 < L < 18,5

hope it helps.

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Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

Answer:

14in

Step-by-step explanation:

Given data

Volume of prism= 840in^3

Base= 60 in^2

Height=????

The expression for the volume is given as

V= L*B*H

V= Area*H

840=60*H

Divide both sides by 60

H= 840/60

H= 14 in

Hence the height is 14in

Answer:

[tex]\frac{686\pi }{3}[/tex] or 718.3775

Step-by-step explanation:

Formula:

[tex]\pi r^2\frac{h}{3}[/tex]

we have

[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]

Answer:

c I am pretty sure of deep nuts u am playin it c

Answer:

45 degrees

Step-by-step explanation:

Since we have a right triangle, we use the appropriate trigonometric ratio

The angle marked P faces QR and that makes it the opposite side

PR faces the right angle and that makes it the hypotenuse

The trigonometric ratio that links the opposite and the hypotenuse is the sine

It is the ratio of the opposite to the hypotenuse

Thus;

sin P = √26/2 √13

Sin P = √2/2

P = arc sin √2/2

P = 45 degrees

Step-by-step explanation:

sana po nakatulong sainyo thanks❤

Answer:

0.58823529411

Answer:0.8

Step-by-step explanation:

Answer:

X > -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x < -1

Step-by-step explanation:

1) Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

a. 49 ft (nearest ft)

b. 24.5 sec

Step-by-step explanation:

a. work out TOP

[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]

b.

[tex] \frac{49}{2} \\ = 24.5[/tex]

divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec

Answer:

49 feet

25 seconds

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

20² + 45² = c²

400 + 2,025 = c²

2425 = c²

Take the square root of both sides

c = 49.244289009

Rounded

49 feet

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

time

t = 49 /2

t = 24.5 seconds

Rounded

25 seconds

Answer:

See explanation

Step-by-step explanation:

Rules to follow when rounding

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20

3. All the numbers to the right of the place you are rounding to become zero

1.Round 3 601 111 to the nearest million

= 4,000,000

2. Round 17.81 to the nearest whole number

= 18

An whole number is a number without a decimal point

3. Round 59.52 to the nearest 1 d.p.

= 59.5

1 d.p means one digits after the decimal point

4. Round 7.176 to the nearest 2d.p.

= 7.18

2 d.p means two digits after the decimal point

Answer:

Δy = 30 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 17.5°

Hypothenus = 100 ft

Opposite = Δy =?

The value of Δy can be obtained by using sine ratio as follow:

Sine θ = Opposite / Hypothenus

Sine 17.5 = Δy / 100

Cross multiply

Δy = 100 × Sine 17.5

Δy = 30 ft

Answer:

[tex]g = 18p[/tex] --- A

[tex]g = 10p[/tex] ---- B

Step-by-step explanation:

Given

[tex]Package\ A: 18\ soda[/tex]

[tex]Package\ B: 10\ soda[/tex]

Required

The equation of both packages

The given details represent the number of sodas in each package.

So, the equation of A is:

[tex]g = 18p[/tex]

And the equation of B is:

[tex]g = 10p[/tex]

Answer:

Amount saved = £ 303.80

Step-by-step explanation:

Original Price = £980

After 25% discount :

                            [tex]980 - (25 \% \times 980) = \£ 735[/tex]

On the final day further discount of 8%.

That is ,

       [tex]735 - (8 \% \times 735) = \£ 676.20[/tex]

Total savings if buying on the final day of sale = 980 - 676.20 =£303.80  

Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.

An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.

To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.

To find the cost of one candy bar, we divide $5 by 4:

Cost of one candy bar = $5 / 4 = $1.25

Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:

Number of candy bars = $20 / $1.25 = 16

Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.

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Answer:

Volume of square based pyramid = 116.62 cm³

Step-by-step explanation:

Given:

Perimeter of square base = 16.9 cm

Height of pyramid = 19.6 cm

Find:

Volume of square based pyramid

Computation:

Perimeter of square base = 16.9 cm

4[Side] = 16.9

Side = 4.225 cm

Area of square = Side x Side

Area of square = 4.225 x 4.225

Area of square = 17.85 cm²

Volume of square based pyramid = [Area of square][Height of pyramid] / 3

Volume of square based pyramid = [17.85][19.6] / 3

Volume of square based pyramid = 349.86 /3

Volume of square based pyramid = 116.62 cm³

Answer:

13 is the correct answer

Answer:

Step-by-step explanation:

căn 2 + căn 6 lớn hơn

Answer:

355

Step-by-step explanation:

$355 because have you got to add 185 with 140 that will get you that 322 then u got to add to 322 with 30

Answer:

[tex]x = 6.99in[/tex]

Step-by-step explanation:

Given

[tex]l =2in[/tex]

[tex]Volume = 72.66in^3[/tex]

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]

This gives:

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]

[tex]Base\ Area= 3\sqrt 3 * 2[/tex]

[tex]Base\ Area= 6\sqrt 3[/tex]

Side x represents the height.

So, we have:

[tex]Volume = Base\ Area*x[/tex]

Make x the subject

[tex]x = \frac{Volume }{ Base\ Area}[/tex]

[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]

[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]

[tex]x = \frac{12.11}{\sqrt 3}in[/tex]

[tex]x = 6.99in[/tex] --- approximated

Step-by-step explanation:

The formula for the lateral area of a right cone is :

LA = rs

Where

r is the radius of the base and s is the slant height of the cone

Equivalent expression,

[tex]r=\dfrac{LA}{s}[/tex]

or

[tex]s=\dfrac{LA}{r}[/tex]

Hence, this is the required solution.

In this exercise we have to use the formula for volume of the cone and we find that:

[tex]s=\frac{LA}{r}[/tex]

The formula for the lateral area of a right cone is :

LA = rs

Where:

Equivalent expression is:

[tex]s=\frac{LA}{r}[/tex]

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Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams

Answer:

2 * x^10 * y^12

Step-by-step explanation:

when dividing by exponents with the same base, you subtract the exponent.

Answer:

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

365.12 x = 36512

36512 / 365.12 = x

x = 100

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Answer:

A. 864 units²

Step-by-step explanation:

(16×16)+(4×½×16×19)

= 256 + 608

= 864

The surface area of the regular pyramid is S = 864 units²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Now , let the base area of the pyramid be B

where the side length of the pyramid is a = 16 units

So , B = 16² units² = 256 units²

And , let the height of the pyramid be h = 19 units

And , the perimeter of the pyramid P = 4 x 16 = 64 units

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

On simplifying , we get

S = 256 + ( 1/2 ) ( 64 x 19 )

S = 256 + 608

S = 864 units²

Hence , the surface area is 864 units²

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