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Sindrei [870]
3 years ago
14

Simplify the expression: ∣∣112 − 56∣∣ − (25 + 110)

Mathematics
2 answers:
777dan777 [17]3 years ago
5 0
The answer of this question is -79
Bumek [7]3 years ago
4 0

Answer:

-79

Step-by-step explanation:

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Answer:

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3 years ago
11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.
Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

[tex](\frac{5}{6}) ^2  = \frac{m}{108}[/tex]

⇒\frac{(5)^2}{(6)^2}   = \frac{m}{108}

or, \frac{25}{36}   = \frac{m}{108}  \implies m = \frac{108 \times 25}{36}  = 75

⇒ m = 75

Hence, the area of the smaller triangle is 75.

6 0
3 years ago
Jada has 12 pencils and 24 erasers. She wants to create identical groups. What is the
nekit [7.7K]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
The height of a man is 1.7 meters.what is his height in centimeters
xxTIMURxx [149]
m-meters\\cm-centimeters\\\\1m=100cm\\------------\\therefore\\\\1.7m=(1.7\cdot100cm)=\boxed{\boxed{170cm}}
4 0
3 years ago
Read 2 more answers
In the triangle shown above m∠B = 114°, m∠C = 22°, and b = 12 in. What is the approximate length of side a? A. 15.78 in B. 9.12
Elena L [17]

The approximate length of side a is 9.12 in. The correct option is B. 9.12 in

<h3>Law of Sines </h3>

From the question, we are to determine the approximate length of side a

From the given information, we have that

m∠B = 114°, m∠C = 22°

Thus,

m∠A = 180° - (114° + 22°)

m∠A = 180° - 136°

m∠A = 44°

Now,

From the law of sines, we have that

a/sinA = b/sinB

Then,

a/sin44° = 12/sin114°

a = (12 ×sin44°)/sin114°

a = 9.12 in

Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in

Learn more on Law of Sines here: brainly.com/question/24138896

#SPJ1

4 0
1 year ago
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