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3 years ago

SOLVE THIS TO PROVE YOUR GOOD AT MATHS! (click the image attached)

Mathematics

1 answer:

kvv77 [185]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

Length of the base of the rectangular box $= 2x +5$

Width of the base of the rectangular box $= x$

Area of the base of the rectangular box

$= (2x + 5)(x)\\= 2x^2 + 5x$

a) Given

Area of the base of the rectangular box $= 58$ square centimeter

It can also be written as

$2x^2 + 5x = 58\\2x^2 + 5x - 58 = 0$

b) See the attached image

c) Volume

Base Area * height

$58 * (x-2)$

$x = -1.25 + \frac{22.11}{4} \\x = 4.27$

Volume $= 58 * 4.27 = 248.09$ cubic centimeter

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Cindy baked 6 cakes to raise money for her track team. The total cost for all of the ingredients for her cakes is $30.00. She wi

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Answer:

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Step-by-step explanation:

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2 years ago

Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the

HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

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3 years ago

In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used

Vitek1552 [10]

Answer:

The angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: $\frac{VZ}{YZ}=\frac{WZ}{XZ}$

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

$\angle VZW=\angle YZX$ (Vertically opposite angles)

$\frac{VZ}{YZ}=\frac{WZ}{XZ}$ (Given)

By SAS rule of similarity

$VWZ\sim YXZ$

Therefore the angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

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3 years ago

Read 2 more answers

Explain how to graph the inequality 8>Y

Colt1911 [192]

Answer:

go on the y-axis and find line 8. draw a line from one side of the graph to the other going through 8. then shade everything BELOW the line. #markasbrainliest

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3 years ago

What is 42 inches to 9 feet is a fraction in simplest form

hodyreva [135]

9 times 12 is 108. so 42/108=21/54

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3 years ago