Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume

Given : ABCD Is A RectanglemB1DB = 60, MADB = 45DB1=37Find: Volume

Answers

Answer 1

Answer:

Step-by-step explanation:

∠B₁DB = 60°

△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2

B₁D = 37 ⇒ BD = 37/2 = 18.5

BB₁ = 18.5√3

△ABD is isosceles

AB = AD = BD/√2 = 18.5/√2

volume = AB × AD × BB₁

= (18.5/√2) × (18.5/√2) × 18.5√3

= 18.5³√3/2

≅ 5483 cubic units

Given : ABCD Is A RectanglemB1DB = 60, MADB = 45DB1=37Find: Volume

Related Questions

Mast
Gabi tried to solve an equation step by step.
Skill
= 80
10
algeb
1
j
· 10 = 80 · 10 Step 1
10
ne-
j = 800
Step 2
Find Gabi's mistake.
ne-
Choose 1 answer:
cual

Answers

Answer:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i dont understand what im doing wrong

Answers

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

For every 5 pounds of tomatoes ordered, the restaurant orders 9 pounds of onions. If Everly orders
108 pounds of onions, how many pounds of tomatoes will she need to order?
Type or write your answers in the box below.

Answers

Answer:

[tex]\left[ 60- pounds][/tex]

Step-by-step explanation:

Ratio of tomatoes to onions = 5:9

so now it will be

5x: 108

we can solve it by doing this

x = 108/9

x = 12

so we multiply

5*x = 5x

5*12 = 60

She would need 60 pounds

5x: 108
We can do this
x=12
So we have to multiply to find the answer
5*x= 5x
5*12=60

One card is randomly selected from a deck of cards. Find the odds:
in favor of getting a spade.

Answers

Answer:

1/4 chance or 0.25 or 25%

Step-by-step explanation:

One forth of cards in a deck are spades

Answer:

1/4

Step-by-step explanation:

In a deck of cards, there are 52 cards (not including jokers)

and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4

Mel has 1/2 gallon of milk in the refrigerator. He drinks 1/4 of the milk. How much milk does Mel drink?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The answer is 3/4 because 1/2 can be turned into 2/4 so the denominators are equal and then you add 1/4 and 3/4

2/4=1/2 because they are both a half

How many square feet of outdoor carpet will
we need for this hole?

Answers

27 shahsvshsgddfbjdsvs

6(2b+5)=12b×30
What did Joseph do wrong and whats the correct answer

Answers

Answer:

he placed a * sign instead of an add sign in the second part of the equation

Step-by-step explanation:

6(2b+5)=6*2b + 6*5 = 12b + 30

80% of c is 20. What is c ?

Answers

Answer:

25

Step-by-step explanation:

Can someone tell me this one?

Answers

j = 35 + 10 since 35 is 10 less than j just add 10 to 35 to get j :^)

Answer:

The answer is 45

Step-by-step explanation:

35+10=45

Use the description of an experiment done in a children's hospital.
A music therapist was interested in investigating whether listening to music or composing music had an influence on both anxiety levels and oxygen saturation in children who were hospitalized for asthma-related illnesses. Thirty-two children spent 20 minutes listening to classical waltzes played on a piano. On a different day, they spent 20 minutes composing their own short pieces of music using a software program.
When listening to music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was smaller than the test statistic for the observed data.
When composing music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was larger than the test statistic for the observed data.
When writing the results of the music therapist's study, which of these statements reflects the correct conclusions that should be drawn from the results and then included as part of the interpretation paragraph?Question 8 options:
a) Music therapists should make pediatric asthma patients compose music in order to increase their oxygen saturation.
b) Music therapists should make pediatric asthma patients listen to music in order to reduce their anxiety.
c) Pediatric asthma patients should listen to music in order to increase their oxygen saturation.
d) Additional information is needed to draw a proper conclusion.

Answers

Answer:

d) Additional information is needed to draw a proper conclusion

Step-by-step explanation:

When listening to music;

Physiological measure

Critical t > Test statistic Accept H₀

Anxiety measure

Critical t < Test statistic Reject H₀

When composing music;

Physiological measure

Critical t > Test statistic Accept H₀

Anxiety measure

Critical t > Test statistic Accept H₀

When the test statistic is larger the critical 't' we reject the hypothesis that there is no difference in the observation, and we accept the alternative hypothesis

The test results having a larger critical 't' than the test statistics suggest that there is no difference between physiological and anxiety influence of composing music on pediatric asthma patients

However, given that when listening to music, the critical 't' is lest than the test statistic for the anxiety parameter of the participants, there is sufficient statistical evidence to suggest that there in an influence on the anxiety of pediatric asthma patients when they listen to music, however, it is not stated if the anxiety increases or decreases, therefore additional information is needed

If set M =[even digits from 2 to 8]. Find n(M)​

Answers

Answer:

n(M) = 4

Step-by-step explanation:

M = (2,4,6,8)

n(M) = Number of values in set M.

n(M) = 4

PLEASE PLEASE PLEASEEEEE HELP!!!!!!!!!

Answers

Scale factor = 12/8 = 6/4 =3/2. So the scale factor is 3/2

Ratio of area= (scale factor)^2 : 1 = (3/2)^2 : 1 = 9/4 : 1

Ratio of volume = (scale factor)^3 : 1 = (3/2)^3 : 1 = 27/8 : 1

please help :) thanks !

Answers

Answer:

Step-by-step explanation:

b

Help me with this geometry question!!

Answers

Answer:

A) trapezoid a=141 b=69

Step-by-step explanation:

It must be a trapezoid because two of the sids are not parallel.  The interior angles of any quadrilateral must equal 360, and each side of a trapezoid  must equal 180, so:

A) trapezoid a=141 b=69

Answer:

a

Step-by-step explanation:

Need help please thanks

Answers

Answer:

6.

Just count the x's on the graph...

A total surface area is _ square inches

Answers

Answer: Don’t trust those links

You move right 3 units. You end at (5, 2). Where did you start?

Answers

Answer:

8,2

Step-by-step explanation:

ANSWER:
You started at (2,2)

EXPLANATION:
you subtract the 5 by 3 because moving to the right affects the x axis, and (x,y), so the 5 is what is being affected

Veronica can hit a bucket of 144 golf balls in 2 hours. how many golf balls can Veronica hit in 5 hours​

Answers

Answer:

360

Step-by-step explanation:

144/2=72

5×72=360

...........

Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cubic feet. The cost of wall paint is $0.06 per square foot and the cost of ceiling paint is $0.16 per square foot. Let x, y, and z be the length, width, and height of a rectangular room respectively. Identify the room dimensions that result in a minimum cost for the paint and use these dimensions to find the minimum cost for the paint. Round your answer to the nearest cent.

Answers

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

[tex]V = 288[/tex] --- Volume

[tex]C_1 = 0.06[/tex] --- cost of wall paint

[tex]C_2 = 0.16[/tex] ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

[tex]V =xyz[/tex]

Substitute 288 for V

[tex]288 =xyz[/tex]

Make z the subject

[tex]z = \frac{288}{xy}[/tex]

The surface area is calculated as:

[tex]Area = 2(yz + xz) + xy[/tex]

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

[tex]C = 0.06 * 2(yz + xz) + 0.16 * xy[/tex]

Substitute [tex]z = \frac{288}{xy}[/tex]

[tex]C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy[/tex]

[tex]C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

Differentiate w.r.t x and y

[tex]C_x = -\frac{34.56}{x^2} + 0.16y[/tex]

[tex]C_y = -\frac{34.56}{y^2} + 0.16x[/tex]

By comparison: [tex]x = y[/tex]

Set them equal to 0

[tex]C_y = -\frac{34.56}{y^2} + 0.16x=0[/tex]

[tex]-\frac{34.56}{y^2} + 0.16x=0\\[/tex]

Substitute x for y

[tex]-\frac{34.56}{x^2} + 0.16x=0[/tex]

[tex]0.16x=\frac{34.56}{x^2}[/tex]

Cross multiply

[tex]0.16x^3 = 34.56[/tex]

[tex]x^3 = \frac{34.56}{0.16}[/tex]

[tex]x^3 = 216[/tex]

Take the cube root of both sides

[tex]x = \sqrt[3]{216}[/tex]

[tex]x = 6[/tex]

[tex]x=y= 6[/tex]

Substitute 6 for x and for y in [tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

[tex]C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6[/tex]

[tex]C = (\frac{2*34.56}{6}) + 5.76[/tex]

[tex]C = 11.52 + 5.76[/tex]

[tex]C = 17.28[/tex]

[tex]C = 17.3[/tex] --- approximated

solve for x in the equation 5x-4=2x+20​

Answers

5x-4 = 2x+20
5x-2x = 20+4
3x = 24
x = 8

The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.

To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:

Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:

(5x - 2x) - 4 = (2x - 2x) + 20]

Simplifying:

3x - 4 = 20

Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:

(3x - 4) + 4 = 20 + 4

Simplifying:

3x = 24

Finally, solve for x by dividing both sides of the equation by 3:

(3x)/3 = 24/3

Simplifying:

x = 8

Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.

To know more about  "equation."  here

https://brainly.com/question/29174899

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Full Question-

Solve for x in the given equation  5x-4  =  2x+20​

Ms. Wright looks at the menu in a restaurant. She wants to order a bowl of salad priced at $13.10 and a glass of fruit juice priced at $5.90. There are a 5% sales tax and a 3% meals tax on all food and beverages. Is she able to pay for her meal with $20? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

No, she is not able to pay for her meal with 20 dollars. The first step to solve this problem is to add up 13.10 and 5.90 so you can see how much money Ms. Wright has to spend on the food and drinks alone. 13.10 + 5.90 is 19. Since there are 5% and 3% of taxes on all food and beverages, there is 8% in total of taxes. 8% of 19 is 1.52. 19 plus 1.52 is 20.52 which is greater than 20. Therefore, Ms. Wright cannot pay for her meal with 20 dollars.

Jim had 16 gallons of orange juice. What is the total number of cups of orange juice Jim has?

Answers

Answer:

I think it's 256

Step-by-step explanation

Answer:

256

Step-by-step explanation:

why well

it goes like this

write the 2 number as shown

16 gallons            cups

what is more gallons or cups

its gallons so

large to small

lagre to small is mutipling and small to large is dividing so u need to mutiply the amout of cups are in a gallon wichis 16 so 16 times 16 is 256 so there u go

Find the perimeter of the figure. due today

Answers

Answer:

62

Step-by-step explanation:

Since you are simply finding the perimeter, I assume they just want you to add all the sides. 13 + 15 + 10 + 10 + 14 = 62

help pleaseee, this is for math class

Answers

Answer:

Step-by-step explanation:

3h = 3×7, not 37.

3h + 13 = 3×7 + 13 = 34

what is the slope of the line.

Answers

Answer:

m=3/2 or m=1.5

Step-by-step explanation:

slope formula:

m=(y1-y2)/(x1-x2)

in order to get this we need two points such as (3,0) and (1,-3) which are points on this line. So:

m=(0-(-3))/(3-1)

m=3/2 or m=1.5

Amir thinks of a number,
He triples it and adds 9 to get 54.
What number did he think of?​

Answers

Answer:

The number he think of is 15

Step-by-step explanation:

Let x be the number

3x + 9 = 54

x = (54-9) / 3

x = 15

The number he think of is 15

Answer:

15

Step-by-step explanation:

3x + 9 = 54

x = (54-9) / 3

x = 15

Please help me find what ? Is

Answers

Answer:

My answer is 43 its that rigth

Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850

Answers

This question is incomplete, the complete question is;

Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 at least 6 out of 10 business day

Answer:

P( at least 6 out of 10 business days ) = 0.6312

Step-by-step explanation:

Given the data in the question;

p = 60% = 0.6

q = 1 - p = 1 - 0.6 = 0.4

Using Binomial distribution;

P( X = r ) = [tex]^nC_r p^rq^{n-r[/tex]

where [tex]^nC_r = n!/(r!(n-r))[/tex]

we substitute

P( at leas 6 ) = P(6) + P(7) + P(8) + P(9) + P(10)

= [¹⁰C₆ × 0.6⁶ × 0.4⁴] + [¹⁰C₇ × 0.6⁷ × 0.4³] + [¹⁰C₈ × 0.6⁸ × 0.4²] + [¹⁰C₉ × 0.6⁹ × 0.4¹] + [¹⁰C₁₀ × 0.6¹⁰ × 0.4⁰]

= [0.250] + [0.214] + [0.1209] + [ 0.0403] + [ 0.00604 ]

= 0.6312

Therefore, P( at least 6 out of 10 business days ) = 0.6312

the following list contains the number of movies That a group of 8 students saw in theaters in the past 12 months.
7,11,14,6,16,11,11,18
Find the median number of movies that the students saw.

Answers

Answer:

I'm pretty sure its 11

first orginize the numbers in numerical order

second the medj an is the middle numbe, if they are to find the mean of those two only

Susan plans to make 4 pies for a family reunion. There will be 32 people at the reunion. How much pie will each person get if each piece is the same size?

1. 1/4
2. 1/7
3. 1/8
4. 1/32

Answers

Answer:

3

Step-by-step explanation:

to get enough pie for 32 people, each of the 4 pies would need to be 8 slices. since they each get 1 of 8 it would be 1/8

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