MATHEMATICS MIDDLE SCHOOL

You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4 cm: 1 foot. A bottle cap is 1.2 cm tall. About how many bottle caps tall will your model be?

Answers

Answer 1

Answer:

Answer:

$40\ bottle\ caps$

Step-by-step explanation:

we know that

The scale is $(2.4)/(1)\ (cm)/(ft)$

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

$20\ ft=20(2.4)=48\ cm$

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

$(48)/(1.2)= 40\ bottle\ caps$

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P.s Show Work

Answers

Ok so,
#1 is a triangular pyramid as we can see.
The surface area formula of a pyramid is:
S.A = Area of base + $(1)/(2)$ × perimeter of base × slant height
The base is 8 cm ( 4cm + 4cm = 8cm)
Height of the triangle is 3.5 cm
Area formula of a triangle is:
A = $(1)/(2)$ bh
P = all sides added together

Substitute them:
S.A = $(1)/(2)$ × 8 × 3.5 + $(1)/(2)$ ×(8 + 8 + 8) × 5
S.A = 14 + 60
= 74 cm²

and #2 is a squared-based pyramid
Same formula applies.
And we know that the area formula of a square is:
A = s²
P = add all sides together

S.A = 2² + $(1)/(2)$ × (2 + 2 + 2 + 2) × 3
= 4 + 12
= 16 ft²

Why is the number 8 a factor in the number 80?

Answers

The number 8 is a factor of 80 because factors are numbers you can multiply together to get another number. So when you multiply 8 by 10 you will get 80, therefore, 8 is a factor of 80

8 times 10 is 80 factors are multiplied

A bottlenose dolphin can swim 2.68 meters per second. Find the dolphin speed in miles per hour

Answers

Answer:

The dolphin speed in miles per hour is 6

Step-by-step explanation:

we know that

1 mi=1,609.34 m ------> 1 m=1/ 1,609.34 mi

1 h= 3,600 sec ----> 1 sec=1/3,600 h

we have

$2.68(m)/(sec)$

Convert to mi/h

$2.68(m)/(sec)=2.68((1/1,609.34))/((1/3,600))=6(mi)/(h)$

Answer:

Step-by-step explanation:

Can someone help me please and ignore the written problems they are wrong and please attach a picture to the answer...

Answers

16)134,070
17.328,308
18.163,500
19.340,080

Your heart beats 240 times in 4 minutes. How many times does your heart beat each minute?

Answers

Each minute, your heart beats 60 times.

Please help! Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which statement describes the properties of triangles ABC and A''B''C'' after the transformations?A) ∠C and ∠C'' are congruent after both the translation and the dilation.
B) ∠C and ∠C'' are congruent after the dilation, but not after the translation.
C) segment AC and segment A double prime C double prime are congruent after both the translation and the dilation.
D) segment AC and segment A double prime C double prime are congruent after the dilation, but not after the translation.

Answers

Answer:

Step-by-step explanation:

1) Translated figures are congruent ones, so $\bigtriangleup ABC\cong \bigtriangleup A'B'C'$ , one unit to the right and one up in comparison to $\bigtriangleup ABC\cong \bigtriangleup ABC$ .

2)Since $\bigtriangleup A''B''C''$ was dilated with a scale factor of two then It's a similar figure to $\bigtriangleup ABC$ . Similar figures have congruent angles and different sizes.

Hence, ∠C≅∠C"

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