What is the volume of this prism

Answer:

CD = 4.4

Step-by-step explanation:

AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:

CD/CA = DB/AB

CD = ?

CA = 5.6

DB = 4

AB = 5.1

Therefore:

CD/5.6 = 4/5.1

Cross multiply

CD*5.1 = 4*5.6

CD*5.1 = 22.4

Divide both sides by 5.1

CD = 22.4/5.1

CD = 4.39215686

CD = 4.4 (1 decimal place)

Answer: 13/4

Step-by-step explanation: it was 3.25 and that as a fraction is 13/4

3/4 + ( 1/3 × 6 ) + 1/2 =

3/4 + 2/4 + ( 2 ) =

3 + 2/4 + 8/4 =

5/4 + 8/4 =

5 + 8/4 =

13/4

she can buy 10 cases

Step-by-step explanation:

200-159= 61

61÷5.99 = 10.1

Answer:

2

What is the extract trying to achieve? in The Explorer’s Daughter

[tex] [\frac{7}{12} + ( - \frac{5}{12} )] -[ \frac{5}{9} + ( - \frac{2}{9} )] \\ \\ = [ \frac{7}{12} - \frac{5}{12} ] - [ \frac{5}{9} - \frac{2}{9} ] \\ \\ = [ \frac{7 - 5}{12} ] - [ \frac{5 - 2}{9} ] \\ \\ = \frac{2}{12} - \frac{3}{9} \\ \\ = \cancel \frac{2}{12} - \cancel \frac{3}{9} \\ \\ = \frac{1}{6} - \frac{1}{3} \\ \\ = \frac{1 - 2}{6} \\ \\ = - \frac{1}{6} [/tex]

Answer:

         [tex]\frac{-1}{6}[/tex]

Step-by-step explanation:

[tex]Sum \ of \ \ \frac{5}{9} \ and \ \frac{-2}{9} =\frac{5}{9} + \frac{-2}{9} = \frac{5-2}{9} = \frac {3}{9} = \frac{1}{3}[/tex]

[tex]Sum \ of \ \frac{7}{12} \ and \ \frac{-5}{12} = \frac{7}{12} \ + \ \frac{-5}{12} = \frac{7-5}{12} = \frac{2}{12} = \frac{1}{6}[/tex]

[tex]subtract \ first \ from \ second = \frac{1}{6} - \frac{1}{3} = \frac{1 -2}{6} = \frac{-1}{6}[/tex]

Answer:

44

Step-by-step explanation:

3/4×16=12

12+16(2)=44

Answer:

44 scoops

Step-by-step explanation:

create a proportion of amt of choc syrup to # scoops

1/16 ÷ 1 = 11/4 ÷ s

cross-multiply to get:

s = 16 x 11/4

s = 44 scoops

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

Answer:

52·s + 2·a = [2] × ([26·s] + [a])

Step-by-step explanation:

The number of classes Mr. Fox  takes to the museum = 2 classes

The number of tickets Mr. Fox orders = The number of students and teachers in the two classes

The number of students paid for by one of the classes = The number of students paid for by the other class

The number of adult paid for by one of the classes = The number of adult paid for by the other class

The expression for the total cost of the ticket is 52·s + 2·a

Let 'c' represent the total cost for each class

Therefore, given that each class pays for the same number of students and adults, we have;

2 × c = 52·s + 2·a

∴ c = (52·s + 2·a)/2 = 26·s + a

Therefore, given that we have 2 classes, we get;

52·s + 2·a = 2 × (26·s + a)

Answer:

the answer is in the picture above

Step-by-step explanation:

and so is the solution pls give branliest if you wish

Answer:

i) [tex]2.2 * 10^{-7[/tex]

ii) [tex]6.4 * 10^{-5[/tex]

Answer:

B: 66%

Step-by-step explanation:

Answer:

43.

Step-by-step explanation:

Follow PEMDAS (Parentheses, exponents, multiply, divide, add, subtract). First you do 8-4 which is 4, then you multiply 4 by 4 which is 16 since you multiply next, then you add 27 to 16 which then gets you to 43.

Answer:

x=9

Step-by-step explanation:

Pretty self explanatory.

adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.

Answer:

60.20 pi

Step-by-step explanation:

to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance

30.1*2 = 60.20

then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi

so the answer is 60.20 pi

-Hope this helps

plz mark brainlyest, rate and thank me

Answer:

Step-by-step explanation:

cost price +VAT=RS 9200

let cost price (original price be x)

CP+VAT% *CP=Rs 9200

x+15/100*x=Rs 9200

100x+15x=Rs 9200*100

115x=Rs 920000

x=Rs 920000/115

x=Rs 8000

Answer:

OA. 81

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

81 = 9 x 9

81 = 3 x 27

Answer:

15, 96, 2, 9, 12.

Answer:

1. Translate circle G T₍₁, ₃₎, 1 right, 3 up

2. Dilate circle 'G' by a scale factor of 1/3 ro

Step-by-step explanation:

The parameters of the two circles are;

The center of circle G = (-4, 2)

The radius of circle G, r₁ = 6

The center of circle H = (-3, 5)

The radius of circle H, r₂ = 2

The transformations that will show that circle G is similar to circle H are;

1. Translate circle G 1 unit right and 3 units up to locate the center of circle 'G' at the center of circle 'H'

Therefore the translation of circle 'G' to circle 'H' = T₍₁, ₃₎

2. The scale factor required to dilate circle 'G' to circle 'H', S.F. = r₂/r₁

Therefore;

S.F. = 2/6 = 1/3

The scale factor required to dilate circle 'G' to circle 'H' = 1/3

Therefore;

The radius of circle 'H' with a radius of 2 and center at (-3, 5) can be obtained from circle 'H', by a translation of T₍₋₁, ₋₃₎, and a dilation with a scale factor of 1/3

Answer: f(x)=x^(2)+14x+40

Answer:

The probability is 0.08[tex]\overline 3[/tex]

Step-by-step explanation:

The choice of bread Dr Porterfield has = Pink, purple

The number of types of breads = 2

The choices of meat = Ham, turkey, beef

The number of types of meat = 3

The choice of cheese = American, Swiss, Portuguese, Japanese

The number of types of cheese = 4

The probability of selecting purple bread from pink or purple = 1/2

The probability of selecting beef or turkey from the 3 choices of meat = 2/3

The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4

Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]

Answer:

[tex]\sqrt{85}[/tex] ft

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side in any right triangle,

Essentially, look at it as if it was flat.

a is half of the diameter, so 2 ft.

b is your height, 9ft

[tex]a^{2} +b^{2} =c^{2} \\2^{2} +9^{2} =c^{2} \\4+81= c^{2}\\\sqrt{85}=c[/tex]

Answer:

2^3=8

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

Right skewed

Step-by-step explanation:

The shape of a distribution could be classed based on the position of the peak and position of the tails formed by the distribution. A distribution is described as being Symmetric if the peak is situated at the middle of the distribution with the tails being evenly spread to the right and left of the peak.

When the peak of the distribution shifts either to the left of right, then we have a skewed distribution. A distribution is said to be right skewed if it has a longer tail to the right while it is left skewed if the loner tail is to the left of the distribution.

The distribution Given above, the tail is longer to the right with the peak in the left. Hence we have a right skewed or positively skewed distribution

Answer:

Step-by-step explanation:

Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,

(h, k) → (h + a, k +b)

Coordinates of A → (-4, -2)

Coordinates of B → (1, -1)

Coordinates of C → (0, -5)

If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

                                                    → (0, 1)

Coordinates of B' → (1 + 4, -1 + 3)

                             → (5, 2)

Coordinates of C' → (0 + 4, -5 + 3)

                             → (4, -2)

Now plot these points on the graph.

Answer:

RP=190

TP=136

C=1,099

Step-by-step explanation:

RECTANGULAR PRISM, the equation is A=2(wl+hl+hw)

A=5*5+7*5+7*5

A=25+35+35

A=95*2

A=190

TRIANGULAR PRISM, the equation is A=1/2bh for the top and bottom triangles and A=lw for the sides

A=1/2(6)(4)

A=1/2*24

A=12

A=7*5

A=35

A=7*6

A=42

12*2=24

35*2=70

24+70+42=136

CYLINDER, the equation is A=2πrh+2πr2

A=2*3.14(7)(18)+2*3.14(7)^2

A=6.28*126+6.28*49

A=791.28+307.72

A=1,099

Answer:

0.11659...cm3

Step-by-step explanation:

To find volume you would have to plug it in the formula Volume= Mass / density so if we plug it in it will be, X(volume): 26(mass)/223(density) you will get 0.11659...cm3

Answer:

179.996

Step-by-step explanation: