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3 years ago

The area of a blackboard is

Mathematics

2 answers:

noname [10]3 years ago

8 0

Answer:

3/2

Step-by-step explanation:

unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity so:

1.1/3= 3.1+1÷3=4/3

8/9÷4/3=3/2

Sonja [21]3 years ago

7 0

Answer:

<h2>There are 6 square yards of blackboard per 2 square yards per poster.</h2>

Step-by-step explanation:

The unit rate refers to how many area units of the poster are in the blackboard.

To find this rate, we just have to divide the area of the blackboard by the area of the poster.

$B=1\frac{1}{3}=\frac{4}{3}$

Where $B$ represents the area of the blackboard in square yards.

$P=\frac{8}{9}$

Where $P$ represents the area of the poster.

Now, the ratio is

$r= \frac{B}{P}=\frac{4}{3} \div \frac{8}{9}=\frac{4}{3} \times \frac{9}{8}=\frac{36}{24}\\r=\frac{6}{4}=\frac{3}{2}=1.5$

This mean that the unit rate is 1.5, that is, there are 6 square yards of blackboard per 2 square yards per poster.

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vesna_86 [32]

Answer:

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Step-by-step explanation:

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Margarita [4]

To find which ratio is higher, we can first convert the ratios into fractions (that makes it easier, at least for me) and then simplify the fractions and see which one is greater.

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4 years ago

ABCDE ~ FGHIJ. Figure 2 is a dilation of figure 1, and the scale factor is 0.6. Given that FG = 12 cm, find AB.

avanturin [10]

We known that the figures are similar if and only if the corresponding sides and and angles have the common scale factor. In this item, the scale factor is 0.6. The length of AB is determined by multiplying the length of FG with the scale factor. That is,
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3 years ago

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In ΔUVW, w = 44 cm, u = 83 cm and ∠V=141°. Find the area of ΔUVW, to the nearest square centimeter.

Tema [17]

Answer:

$Area \approx 1149\ cm^2$

Step-by-step explanation:

<u>Given that:</u>

ΔUVW,

Side w = 44 cm, (It is the side opposite to $\angle W$ )

Side u = 83 cm (It is the side opposite to $\angle U$ )

and ∠V=141°

Please refer to the attached image with labeling of the triangle with the dimensions given.

Area of a triangle with two sides given and angle between the two sides can be formulated as:

$A = \dfrac{1}{2}\times a\times b\times sinC$

Where a and b are the two sides and

$\angle C$ is the angle between the sides a and b

Here we have a = w = 44cm

b = u = 44cm

and ∠C= ∠V=141

Putting the values to find the area:

$A = \dfrac{1}{2}\times 44\times 83\times sin141\\\Rightarrow A = \dfrac{1}{2} \times 3652 \times sin141\\\Rightarrow A =1826 \times 0.629\\\Rightarrow A \approx 1149\ cm^2$

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$Area \approx 1149\ cm^2$

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4 years ago

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