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tangare [24]
3 years ago
13

Given the following two solids. Complete the following prompts using complete sentences. Write a hypothesis that compares the vo

lumes of both figures. Calculate the volume of each prism. Was your hypothesis correct? Why or why not?
Mathematics
2 answers:
Bess [88]3 years ago
7 0

Now, there are many types of solids. Hypothesis can be stated as there is a significant discrepancy between solid one from the other sold. Moreover, if the results seems to support the hypothesis then it is somehow reliable and accurate.Thank you for your question. Please don't hesitate to ask in Brainly your queries. 
-Dominant- [34]3 years ago
6 0

Answer:

Yes the are equal and the hypothesis is correct.

Step-by-step explanation:

a.  Hypothesis = The volumes of both figures are equal

b.

V for Figure 1 is A=bh

5 times 7 =35 cm²

Height:  8cm

volume:  1 =35 times 8 = 280 cm³

V of figure 2 is A=bh

5 times 7 = 35 cm²

Height =8cm

1= 35 times 8 =  280 cm³

Figure 1 is equal to figure 2 which means the hypothesis is right.

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In figure find the area of the red part.​
larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle  

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB   α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45°  as   AE is  diagonal of Square of side  4

=> ∠AEF  + 180° - 2α + 45° = 180°

=>  ∠AEF =  2α - 45°  = 8.13°

in Left side area  between square  and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area  between square  and circle  = 4² - (1/4)π4²

= 3.4336 sq unit

half  =  1.7168 sq unit  

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF  

AE = 4√2  , EF = 4    angle = 8.13°

area ΔAEF   = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area  sector EGF  = (8.13/360)π4² = 1.135  sq unit

area AFG  = 1.6 - 1.135  = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252  sq unit

= 1.25 sq unit.

Hope this helps!!

5 0
2 years ago
Read 2 more answers
Jack has 10 more than twice as many baseball cards b than
Mekhanik [1.2K]
Answer: C (110)

reasoning: 50 times 2 = 100. 100 + 10 = 110
3 0
3 years ago
Read 2 more answers
PLS HELP PLS
mariarad [96]

The scale factor from Figure A to Figure B is 4

<h3>How to determine the scale factor from Figure A to Figure B?</h3>

From the question, we have the following statement:

Figure B is a scaled copy of Figure A.

The corresponding side lengths of figure A and figure B are:

Figure A = 10

Figure B = 40

The scale factor from Figure A to Figure B is then calculated as:

Scale factor = Figure B/Figure A

Substitute the known values in the above equation

Scale factor = 40/10

Evaluate the quotient

Scale factor = 4

Hence, the scale factor from Figure A to Figure B is 4

Read more about scale factor at

brainly.com/question/24968688

#SPJ1

8 0
9 months ago
Which facts could be applied to simplify this expression? Check all that apply.
kykrilka [37]

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

Hope this helps!

3 0
3 years ago
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Item 11 The height of the house is 26 feet. What is the height <br> x of each story?
Black_prince [1.1K]
26/ by the number of stories
4 0
3 years ago
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