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Bezzdna [24]
1 year ago
14

Let's find2. 1+5 3First write the addition with a common denominator.Then add.12— +51-4-13Х5

Mathematics
1 answer:
emmasim [6.3K]1 year ago
4 0
Answer:\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}Explanation:

The given addition exercise is:

\frac{2}{5}+\frac{1}{3}

The LCM of the denominator (5 and 3) = 15

Multiply 2/5 by 3/3

\frac{2}{5}=\frac{2\times3}{5\times3}=\frac{6}{15}

Multiply 1/3 by 5/5

\frac{1}{3}=\frac{1\times5}{3\times5}=\frac{5}{15}

The addition becomes

\frac{6}{15}+\frac{5}{15}=\frac{11}{15}

Therefore, we can fill in the vacant boxes as shown below:

\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}

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A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that
Art [367]

Answer:

(a) 64°

(b) Yes, the ladder will be safe the ingredients will be used.

Step-by-step explanation:

(a) Trigonometric function of Sine is the appropriate formula to use to solve this question. The formula is given as:

sin θ = Opposite/Hypotenuse

θ = Angle formed with the ground = ?

Opposite = 27 ft

Hypotenuse = 30 ft

Hence,

sin θ = 27 /30

θ = arc sin (27/30)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

64° is less than 70=

64° < 70°

Hence, the ladder will be safe the way it is positioned.

8 0
3 years ago
In TriangleARC, m AngleA = 70°. What is the measure of arc AC?
rusak2 [61]
I found the image that should have accompanied this problem.

The triangle inside the circle is an isosceles triangle. It has 2 equal sides and 2 equal angles. 

Angle A = 70° , Angle C is also 70°. This leaves angle R having 40°.

The arc opposite angle R is twice the measure of its angle.

Angle R = 40°
Arc AC = 40° x 2 = 80°

The measure of arc AC is 80°.
4 0
3 years ago
A quarterback completes 18 of 33 passes during the first three quarters of a football game. He completes every pass in the fourt
Lesechka [4]
He throws and completes 7 passes in the fourth quarter
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3 years ago
Compare the two integers below:<br> 11____-1<br> &lt;<br> &gt;<br> =
Snezhnost [94]

Answer:

B. >

Step-by-step explanation:

Yes, you got it correct! Anything with a "-" is always less than a "+". Look at it this way:

I have 11 dollars (+11) and you owe me one dollar (-1). Now which is better?

Hope this helps

~R3VO

3 0
3 years ago
Can someone help me with the question in the image
sergejj [24]

Answer:

Should be 5.43

Step-by-step explanation:

x=5.43

6 0
4 years ago
Read 2 more answers
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