What is the volume of the prism shown?

A) 149.9 cubic inches
B) 268.2 cubic inches
C) 173.9 cubic inches
D) 291.8 cubic inches

Answer:

c1) adjacent

c2) not adjacent

c3) adjacent

c4) not adjacent

c5) adjacent

c6) not adjacent

d1) 20°

Complement: 90° - 20° = 80°

Supplement: 180° - 20° = 160°

d2) 77°

Complement: 90° - 77° = 13°

Supplement: 180° - 77° = 103°

d3) 101°

Complement: doesn't have a complement.

Supplement: 180° - 101° = 79°

d4) 90°

Complement: 90° - 90° = 0°

Supplement: 180° - 90° = 90°

d5) 96°

Complement: doesn't have a complement

Supplement: 180° - 96° = 84°

d6) x

Complement: 90° - x

Supplement: 180° - x

d7) y

Complement: 90° - y

Supplement: 180° - y

Answer:

132 ft

Step-by-step explanation:

The radius is 21 ft

We want to find the circumference

C = 2 * pi *r

Letting pi = 22/7

C = 2 * 22/7 * 21

C = 132 ft

Answer:

We want to find the circumference

Answer:

-1 (losing a point)

Step-by-step explanation:

it is a probability question

total possible outcomes= 3

favourable outcome(white) = 2

probability of getting a white is 2/3

probability of getting a green is 1/3

so the expected value of the game will be -1

Answer:

99 square feet

Step-by-step explanation:

Because 8 times 9=72+27=99

Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x          P(x)           x × P(x)              x²             x² × P(x)

19         0.20           3.8                  361               72.2

10         0.20             2                   100                20

11          0.30           3.3                   121                36.3

12         0.20           2.4                   144               28.8

13          0.10            1.3                   169                16.9

____________________________________________

                            12.8                                         174.2            => Total

Mean Formula

[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]

[tex]\mu_x^2 = 163.84[/tex]

Variance Formula

[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]      

   [tex]= 174.2- 163.84\\\\=10.36[/tex]

Standard Deviation Formula

[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]

                                   [tex]=\sqrt{10.36}\\\\=3.218[/tex]      

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Answer:

90 cm^2

Step-by-step explanation:

The area of a triangle is half of the base times height, so it is 1/2*15*12 = 7.5*12 = 90

Answer:

So, you multiply them.

Step-by-step explanation:

Try it yourself….. Use table multiplication or somthin

Answer:

Well 6.2 x 6.2 is 38.44 and if you do 38.44 x 38.44 it is 1,477.6336

OPTION D

34.6 m is the correct answer.

Answer:

V = (8 in)(5 in)(3 in) = 120 in^3

Step-by-step explanation:

The likeliest name for this shape is "rectangular prism."  Let's assume that the length, L, is 8 in; the width, W, is 5 in; and the height, H, is 3 in.

Then the volume of this rectangular prism is V = L * W * H, or

V = (8 in)(5 in)(3 in) = 120 in^3

[tex]5^{-2}=\frac{1}{5²}[/tex]

Answer:

Solutions given:

[tex]5^{-2}=\frac{1}{5²}[/tex]

since

we have rule of indices

[tex]x^{-a}=\frac{1}{x^{a}}[/tex]

Answer: It's 1/25 or 0.04 That's what I got

Step-by-step explanation:

Since 1/5^-2 = 0.04 I think its the first one

Answer:

4 batches

Step-by-step explanation:

To obtain the number of batches of the recipe that can be made ;

We take the divison of the total amount of strawberry by the amount of strawberry required per batch :

Pounds of strawberry per recipe = 0.75 pound

Total pounds of strawberry = 3.15 pound

= 3.15 / 0.75

= 4.2

We round down :

4.2 batches = 4 batches of the recipe can be made

Answer:

I agree other students

Step-by-step explanation:

congrats

Answer:

65

Step-by-step explanation:

easy

Answer:

The volume of the triangular prism is 5676.16 cm³

Step-by-step explanation:

The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.

Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'

V = Ah' where h = height of prism = 18.1 cm

So, V = bhh'/2

Substituting the values of the variables into the equation for V, we have

V = bhh'/2

V = 28 cm × 22.4 cm × 18.1 cm/2

V = 14 cm × 22.4 cm × 18.1 cm

V = 5676.16 cm³

So, the volume of the triangular prism is 5676.16 cm³

Answer:

5676.16 cm³

Step-by-step explanation:

9514 1404 393

Answer:

  ∠GDH = ∠GHD = 50°

Step-by-step explanation:

Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...

  ∠EDG = ∠EDH +∠HDG

  100° = 50° +∠HDG

  50° = ∠HDG

You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have  a sum equal to the exterior angle FGD, so is ...

  ∠DHG = ∠FGD -∠HDG = 100° -50° = 50°

So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.

Answer:

by increasing the size ez

Answer:

True

Step-by-step explanation:

Used a graphing calculator to check

Hope this helps

Answer:

x ≈ 24.7

Step-by-step explanation:

Using the Sine rule in the triangle , that is

[tex]\frac{x}{sin71}[/tex] = [tex]\frac{15}{sin35}[/tex] ( cross- multiply )

x × sin35° = 15 × sin71° ( divide both sides by sin35° )

x = [tex]\frac{15sin71}{sin35}[/tex] ≈ 24.7 ( to the nearest tenth )

Answer:

Step-by-step explanation:

A third degree polynomial has a total of three roots, real and imaginary combined.

If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.

Answer:

Three real roots

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle A =angle B (because they are alternate interior angles)

5x-12=2x+24

5x-2x=24+12

3x=36

x=36/3

x=12

angle A=5x-12

5*12-12

60-12

48

angle B=2x+24

2*12+24

24+24

48

Answer:

x = -3 , y = -4

Step-by-step explanation:

[tex]\begin{bmatrix}y=2x+2\\ y=-4\end{bmatrix}[/tex]

[tex]\begin{bmatrix}2x+2=-4\end{bmatrix}[/tex]

[tex]y=2\left(-3\right)+2[/tex]

[tex]y=-4[/tex]

[tex]y=-4,\:x=-3[/tex]

Another easy way to determine it is to look where the two lines intercept.

Answer:

itss8tsz85sz85s,85s,8td,8td,85dz85dzd85e,7554334567

Step-by-step explanation:

otdxd8td 8td 85sx8ts,ts8,8ts,8td,88ts8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,,8ts8ts,8t,s8ts,8tz8txdxtitixtxtidittdxdctiti dttxdididez6z84gfiwz84wz85wzy0dcydcydc6dctr456887654

im pretty sure that the answer is 6 2/3

Answer:

15

Step-by-step explanation:

Number of packets shipped out = total weight of electrical supplies / weight of  individual packets

[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]

to solve convert the mixed fractions to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]

[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15

12

15x + 60 <240

-60

15 veces <180/15

x <12

Step-by-step explanation: