15 cm
5 cm
3 cm
a.
Find the volume of the prism.

Answer:

angle x=123°

I hope it's helps you

Answer:

5

Step-by-step explanation:

Negative is always negative positive is always positive

Answer:

the volume of the sphere is 507.78981 cm^3

Step-by-step explanation:

The computation of the volume of the sphere is given below:

Given that

The Diameter is 9.9 cm

So, the volume of the sphere is

= 4 ÷ 3 ×π × r^3

= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3

= 4 ÷ 3 × 3.14 × 4.95^3

= 507.78981 cm^3

Here r denotes the radius

And, the radius would be comes by dividing the diameter from 2

Hence, the volume of the sphere is 507.78981 cm^3

Answer:

508.0

Step-by-step explanation:

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{9.9}{2}=4.95

radius=

2

diameter

​

=

2

9.9

​

=4.95

centimeters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (4.95)^3

3

4

​

π(4.95)

3

508.047368364254

508.047368364254

Use calculator

\approx 508.0\text{ cm}^3

≈508.0 cm

3

Answer:

1.71428571429..........

Answer:

<1 = <8

Step-by-step explanation:

Pair of alternate exterior angles are formed when two parallel lines are cut across by abl transversal line. The two angles are found on the other side of the parallel lines but located on opposite sides along the transversal line.

Thus, <1 and <8 are exterior angles of the parallel lines that are crossed by the transversal and they are on the alternate sides along the transversal.

Therefore, <1 and <8 form a pair of alternate exterior angles.

<1 = <8

Answer:

68 inches^2

Step-by-step explanation:

The shape is a rhombus

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  [tex]\frac{1}{2}pq[/tex]

where p and q are the two diagonals

1/2 x (8 x 17) = 68 in²

1 Move all terms to one side.

{x}^{2}+15x+45=0

x

2

+15x+45=0

2 Use the Quadratic Formula.

x=\frac{-15+3\sqrt{5}}{2},\frac{-15-3\sqrt{5}}{2}

x=

2

−15+3

5

,

2

−15−3

5

3 Simplify solutions.

x=-\frac{3(5-\sqrt{5})}{2},-\frac{3(5+\sqrt{5})}{2}

x=−

2

3(5−

5

)

,−

2

3(5+

5

)

Answer:

x =  - [tex]\frac{15-3\sqrt{5} }{2}[/tex]; - [tex]\frac{15+3\sqrt{5} }{2}[/tex]

Step-by-step explanation:

Answer:

[tex] x = 6 , -2[/tex]

Step-by-step explanation:

Let the required number be x .

According to the Question ,

[tex]\implies x^2 - 12 = 4x \\\\\implies x^2 -4x -12 = 0 \\\\\implies x^2 -6x + 2x -12 = 0 \\\\\implies x(x-6)+2(x-6) = 0 \\\\\implies (x-6)(x+2)=0\\\\\implies \boxed{\boxed{ x = 6 , -2}}[/tex]

Hence the number can be 6 or -2.

Answer:

4 4/9

Step-by-step explanation:

First, you have to set it up: 5/9 times 8/1

We made it 8/1 since it has to be a fraction in the multipying ocess and the one does not change the value.

Next, Multiply.

5/9x8/1=40/9 as an inproper fraction

As a proper fraction, it is written as 4 4/9

Answer:

40units²

Step-by-step explanation:

find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.

do the formula for rectangle

A = bh

A = 8×2

A = 16

Now the formula for Trapezoid

A = 1/2h(b+b)

A = 1/2×4(4+8)

A = 1/2×4(12)

A = 1/2(48)

A = 24

16+24 = 40

Answer: 16.81 min

Step-by-step explanation:

Given

Initial concentration [tex]A_o=970\ gm[/tex]

Half-time  [tex]T_{\frac{1}{2}}=6\ min[/tex]

Decay at any time t is given by

[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]

put values

[tex]\Rightarrow 139=970\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow 2^{\dfrac{t}{6}}=6.978\\[/tex]

Taking log both sides

[tex]\Rightarrow \dfrac{t}{6}\times \ln (2)=\ln (6.978)\\\\\Rightarrow t=6\times 2.802\\\Rightarrow t=16.81\ \text{min}[/tex]

Answer:

263,93802

Step-by-step explanation:

xd

Answer:

D

Step-by-step explanation:

area of shaded region=1/2×8×8=32 sq. units

area of larger triangle=1/2×14×16=112 sq units

reqd. probability=32/112=2/7

Answer:

Step-by-step explanation:

The slope:

The y -intercept:

The equation off the line:

The slope:

The y -intercept:

The equation off the line:

As we see they get same slopes but different y-intercepts.

Correct choice is B

Answer:

B) They will have the same slopes but different y-intercepts.

Step-by-step explanation:

I got 100% :>

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The foci of the ellipse given by the equation 225x² + 144y² = 32,400 is located at (±15, 0).

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.

The equation of an ellipse with major axis length 2a and minor axis length 2b can be written as:

(x/a)² + (y/b)²= 1

In this case, a = 15 and b = 12.

The equation of the ellipse can be written as:

(x/15)² + (y/12)² = 1

Multiplying both sides of the equation by 225×144 = 32,400 gives us:

225x² + 144y² = 32,400

The foci of an ellipse are located at (±a, 0).

Therefore, the foci of this ellipse are located at (±15, 0).

To learn more on Conic section click:

https://brainly.com/question/28991363

#SPJ2

Answer:

whow this is so great app i love it

Answer:

The answer is the first option I hope it helps

Answer:

(1, 1)

Step-by-step explanation:

not 100% sure though, but hope it helps

Answer:

the ratio is 182

Step-by-step explanation:

sana po makatulong

Answer:

Answer:

300in3

Step-by-step explanation:

Answer:

300in3

Step-by-step explanation:

Answer:

99% C.I of the population mean is ( 11746, 11800 )

Step-by-step explanation:

Given the data in the question;

Sample size n = 9

mean x" = 11773  

standard deviation s = 24

for 99% confidence interval

∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01/2 = 0.005

degree of freedom df = n - 1 = 9 - 1 = 8

now, Critical t-value : [tex]t_{\alpha /2, df[/tex] =  [tex]t_{0.005, 8[/tex] = 3.355

Now, at 99% Confidence interval of the mean population is;

x" ± [ [tex]t_{\alpha /2, df[/tex] × s/√n ]

we substitute

11773  ± [ 3.355  × 24/√9 ]

11773   ± [ 3.355  × 8 ]

11773 ± 26.84

so

⇒ {11773 - 26.84}, {11773 + 26.84}

⇒ ( 11746, 11800 )

Therefore, 99% C.I of the population mean is ( 11746, 11800 )

Answer:

a) 3

b) 3

c) because of the permutations and combinations involved

Step-by-step explanation:

a) Determine the smallest number of cars needed

The number of cars are the same as conflict free cars

hence we can group the friends without conflict into the same car

1st car we will have : ACFI  in it

2nd car we will have : GD  in it

third care we will have : BEJH  in it

∴ number of car needed = 3

b) number of conflict free cars = 3

c) Coloring is important in the question because of the permutations and combinations involved

Answer:

$22.00

Step-by-step explanation:

sales price x .05 = $1.90

Sales price = $1.90/.05

sales price = $38.00

total sales price less price of gloves = price of scarf

$38.00 - $16.00 = $22.00

Answer:

His weight is 8 pounds 9 ounces

Step-by-step explanation:

First, you need to know if you are converting from a smaller unit of measurement to a bigger unit of measurement OR  if you are converting from a larger unit to a smaller unit.

→ RULE

Ounces are smaller than pounds, so you need to divide.

To convert 137 ounces to pounds, you would divide 137 ounces by 16 ounces, since 1 pound equals 16 ounces.

1 pound = 16 ounces

137 ÷ 16 = 8 R 9 (long division)

The quotient  (8) is the number of pounds and the remainder (9) is the number of ounces.

8 R9 → 8 pounds 9 ounces

137oz = 8 pounds 9 ounces

→ Alana's baby bother weighted 8 pounds 9 ounces.

(^ the question asks for an answer in pounds AND ounces)

(*) Sorry for my late answer but I hope this helps others that are looking for this.

Answer:

The least common multiple is [tex]280a^6b^4cd[/tex]

Step-by-step explanation:

We find the least common multiple of the constant, and of each term.

Least common multiple of 40 and 28:

40 - 28|2

20 - 14|2

10 - 7|2

5 - 7|5

1 - 7|7

1 - 1

2*2*2*5*7 = 280

LCM of a^3 and a².

Exponents are 3 and 2.

LCM of 3 and 2 is 6. So

[tex]a^6[/tex]

b and b^4

LCM of 1 and 4, which are the exponents, is 4. So

[tex]b^4[/tex]

c and c

LCM of 1 and 1 is 1. So c

d

In the first term, no d means that it is [tex]d^0 = 1[/tex]

In the second, [tex]d^1 = d[/tex]

LCM of 0 and 1 is 1. So

d

Least common multiple:

Multiplication of all the LCM's. So

[tex]280a^6b^4cd[/tex]

Answer:

b 80

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A P EE X

Answer:

the selling price is $28.50

i m confused on part b if you explain it i could help

Step-by-step explanation:

Answer:

x =  99°

Step-by-step explanation:

Given that,

The first angle = 40°

The second angle = 41°

We need to find the value of x. We know that the sum of angles of a triangle is equal to 180°. So, using this property.

40+41+x = 180

81+x=180

x = 180-81

x = 99°

So, the value of x is equal to  99°.