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eimsori [14]
3 years ago
11

Write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle. Exp

lain how the inequality demonstrates that fact.
Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0
The 2 smallest lengths in a triangle have to add up to be greater that the longest side of the triangle. In this case, the longest side is 20. The 2 smallest sides are 5 and 10. 5+10=15, but 15<20. This is why these 3 lengths can’t create a triangle.
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Ed needed to extend the string on his kite. The current string was seven and three fourths feet. He cut a piece of string that m
soldi70 [24.7K]

The new length of the string will be 16  1/4 feet. Then the correct option is B.

<h3>What is the length?</h3>

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Ed needed to extend the string on his kite. The current string was seven and three-fourths feet that is (7  3/4).

The mixed fraction number is coverted into a decimal number.

7  3/4 = 7.75 feet

He cut a piece of string that measured 8.5 feet and added it to the existing string.

Then the new length of the string will be

L = 7.75 + 8.5

L = 16.25

L = 16  1/4 feet

The new length of the string will be 16  1/4 feet. Then the correct option is B.

More about the distance link is given below.

brainly.com/question/26711747

#SPJ1

4 0
2 years ago
Triangle ABC is similar to DEF.
Schach [20]

Answer:

Step-by-step explanation:

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

6 0
3 years ago
option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar
motikmotik

Answer:

The equation is given below as

\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x

Step 1:

We will work on the left-hand side, we will have

\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}

By substituting the identity above, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\  \end{gathered}

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}

Here, we will use the definition of subtraction

\cos x-\frac{\sin^2x}{\cos x}

Step 3:

We will apply the double number identity given below

\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}

By applying this, we will have

\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}

Here, we will use the double number identity

\frac{\cos^2x-\sin^2x}{\cos x}

5 0
1 year ago
Round 14494 to the nearest thousand feet
klasskru [66]
14,000 because 494 would round down since it is not above 500.

7 0
3 years ago
Given that your monthly expenses for the house that you want to purchase totals $1,562.30 (this includes the house payment, annu
alexandr1967 [171]
B..................................
6 0
3 years ago
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