What is the value of B for the following triangular prism?



120 cm 2
60 cm 2
5 cm 2
2.5 cm 2

Answer:

Amount left = Rs 45

Step-by-step explanation:

Let the initial amount be x.

Translating the word problem into an algebraic expression, we have;

[tex] x - 15 = \frac {3}{4} * x [/tex]

[tex] x - 15 = \frac {3x}{4} [/tex]

Cross-multiplying, we have;

[tex] 4(x - 15) = 3x [/tex]

[tex] 4x - 60 = 3x [/tex]

Rearranging the equation (collecting like terms), we have;

[tex] 4x - 3x = 60 [/tex]

x = Rs 60

Next, we find the amount left;

Amount left = 60 - 15

Amount left = Rs 45

Answer:

1.5

Step-by-step explanation:

58(r)^5 = 440.4375

r^5 = 440.4375 / 58

r^5 = 7.59375

r = 1.5

Answer:

1. x= 16,7

2. x= 8,7

Step-by-step explanation:

Use pythagoras..

r² = x² + y²

c² = a² + b²

hypothesis² = side² + side²

1. c² = a² + b²

x² = 14² + 9²

x² = 196 + 81

x² = 277

x = square root of 277

x = 16,64

2. c²= a² + b²

10²= x² + 5²

100 = x² + 25

100 - 25 = x²

75 = x²

x = square root of 75

x = 5/3 = 8,66

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:

Step-by-step explanation:

Yes, it is, because the inputs {2, 3, 4, 5} are all different.

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:

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:

2pie R so it would be 15.7

Answer:

half of 45.7 is 22.85

22.85^2 = 522.1225

522.1225 x pi

Meaning

522.1225π, A

Answer:

[tex]522.12\pi[/tex] inches²

Step-by-step explanation:

The formula for finding the area of a circle is:

[tex]A=\pi r^2[/tex]

If you put 45.7/2 (because you have the diameter and NOT the radius) instead of r you get:

[tex]A=22.85^2\pi[/tex]

Now you calculate:

[tex]A=522.12\pi \\[/tex] inches²

Answer:

what are the rest of the options i cant read c and d is cut off

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

[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:

60 - 40 = 20

20

Step-by-step explanation:

59.15 - 41.81 = 17.34

17.34 ≈ 20

Answer:

The Pythagoras theorem has three places namely; hypotenus, adjacent, and opposite

Answer:

Step-by-step explanation:

Pythagorean theorem will be applied to right triangles. The formula is a^2+b^2=c^2 where a and b represent the legs of the truss de c is the hypotenuse. Now let’s say I had a leg that was 4 inches and a second leg that was 8 inches. I would then have to try and find the hypotenuse. So plug it into the equation

4^2+8^2=c^2

Now 4 to the power of 2 is 16 and 8 is 64

16+64=c (note we got ride of the ^2 for the c)

So 80=c

Now what we want to do is take the square root of 80 since our c needs to be rooted. So the square root of 80 would be your answer.

Hope this helps

Answer:

2

Step-by-step explanation:

The degree of a function is the highest power any single term is raised to.

x^2 is the term that has the highest degree, so in this case, the degree is 2.

For example; in x^5-x^4-3x^3; the degree would be 5 because the highest power x is raised to is 5.

Answer:

17 no for side c

take 37 degree as reference angle

using sine rule

sin 37 =p/h

0.60=6/c

0.60c=6

c=6/0.c0

c=10

for side d

using pythagors theorem

H^2=P^2+B^2

(10)^2=(6)^2+B^2

100=36+B^2

100-36=B^2

64=B^2

[tex]\sqrt{64}[/tex]=B

8=B

Step-by-step explanation:

Answer:

A: mArc M N + 150 = 180

Step-by-step explanation:

on edge2021!! hope this helps!!~

Answer:

[tex]\tan(\theta) =[/tex] undefined

Step-by-step explanation:

Given

[tex]\sin(\theta) = -1[/tex]

Required

Determine [tex]\tan(\theta)[/tex]

We know that:

[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]

This gives:

[tex](-1)^2 + \cos^2(\theta) = 1[/tex]

[tex]1 + \cos^2(\theta) = 1[/tex]

Collect like terms

[tex]\cos^2(\theta) = 1 -1[/tex]

[tex]\cos^2(\theta) = 0[/tex]

Take square roots

[tex]\cos(\theta) = \sqrt 0[/tex]

[tex]\cos(\theta) = 0[/tex]

By tan identity

[tex]\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}[/tex]

[tex]\tan(\theta) = \frac{-1}{0}[/tex]

[tex]\tan(\theta) =[/tex] undefined

Answer:

A) y/x

Step-by-step explanation:

_____________________

Answer:

Step-by-step explanation:

Umm I believe it would be 7189939

Answer:

[tex]y = 4 {ax}^{2} \\ by \: comparison \: with \: y = 1.5 {x}^{2} \\ 4a = 1.5 \\ a = \frac{1.5}{4} \\ a = \frac{3}{8} \\ vertex = \frac{3}{8} \: \: o r\: \: 0.375[/tex]

Answer:

(0,0)

Step-by-step explanation:

The vertex of the parabola is the minimum ( or maximum) point

Since this is an open upwards parabola, it is the minimum point

The minimum is (0,0) so that is the vertex

Answer: the answer is D. this took sometime but if you find another question like this solve it like this|

Step-by-step explanation: if you're already given the perimeter then that is the area so how to find the lengths if you're given the width is to multiply or divide! if you're using multiplication then use the width to divide so let's say you're area (perimeter) is 32! that means if you're given 4cm as the lengths then you have to use table knowledge  to find the width now if we know the 4x table then that means there is 8 x 4=32 so that means that the width is 8 thats an example!

Answer:

B: 66%

Step-by-step explanation:

Answer:

B. [tex]0.412[/tex]

Step-by-step explanation:

[tex]0.512 + 0.423 = 0.935[/tex]

[tex]0.402+ 0.423 = 0.825[/tex]

[tex]0.418+0.412 =0.83[/tex]

[tex]0.412+ 0.423 = 0.835[/tex]

Answer:

362,880

Step-by-step explanation:

Since there are 9 possible players for the first position, 8 for the 2nd (1 is taken off), 7 for the 3rd, etc. So you would multiply these numbers together. So there are 362,880 different possible batting orders.

Answer:

25

Step-by-step explanation:

If you take the 100+850= 950 then you take that because that is the expenses and what she wants to make you will then divide 950/38=25 so sandra will need to sell 25 pie in order to cover the monthly cost and what she wants to earn.

Answer:

25 pies

850 + 100 = $950

So Sandra needs $950 in total.

If you divide 950 by 38 (how much a pie costs) then you get 25.

hope this helps :)

Answer:

37.68

Step-by-step explanation:

D=12

PI=3.14

C=(D)(PI)

C=(12)(3.14)

C=37.68

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)