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Mkey [24]
3 years ago
15

Evaluate

la1" title="1\frac{1}{3} + 2 \frac{2}{5} " alt="1\frac{1}{3} + 2 \frac{2}{5} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0
Hi there! The answer is 3 11/15

1 \frac{1}{3}  + 2 \frac{2}{5}  =  1\frac{5}{15}  + 2 \frac{6}{15}  = 3 \frac{11}{15}
When adding two fractions, both of the denominators must be the same.

~ Hope this helps you!


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ladessa [460]
B because I learn this before
4 0
3 years ago
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A​ hot-air balloon is flying at an altitude of 2999 feet. If the angle of depression from the pilot in the balloon to a house on
Bezzdna [24]

Answer:

5668.3

Step-by-step explanation:

The problem can be represented as a right angled triangle as shown below.

The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.

The altitude of the balloon is 2999 feet. (opposite)

Using trigonometric function, SOHCAHTOA, we can solve this:

sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet

The pilot is 5668.3 feet far away from the house.

4 0
4 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
MissTica

A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50, then the distance between F and G is 4.50.

Calculating the Distance between F and G:

It is given that, on a number line,

Point F is located at -3

Point G is at 1.50

Since, 1.5 > (-3) and each number is at a 1 unit difference form the adjacent number on the number line,

The difference between F and G = 1.50 - ( -3 )

This implies that the distance between F and G = 1.50 + 3

= 4.50 units

The numbers lying between the points F and G on the number line are: -2, -1, 0, and 1

Learn more about a number line here:

brainly.com/question/13189025

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3 0
2 years ago
You invest $3,200 in an account that pays an interest rate of 7.25%, compounded continuously. Calculate the balance of your acco
a_sh-v [17]
I=prt
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6 0
3 years ago
Find the value of x and give a reason for the relationship between the angles.
allsm [11]

Answer:

x = 72 and they are a linear pair making them supplementary angles

Step-by-step explanation:

144 + (x - 36) = 180

108 + x = 180

<u>-108        -108</u>

x = 72

4 0
3 years ago
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