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3 years ago

What is 4/7 + 2/7 in simplest form

Mathematics

1 answer:

Arada [10]3 years ago

3 0

$\frac{2}{7} +\frac{4}{7}\\
\frac{2+4}{7}\\
\frac{6}{7}$
Your answer is $\frac{6}{7}$

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Please answer this fast

fomenos

Answer:

CD = 2 units

Step-by-step explanation:

in the given right triangle ΔCDE,

By applying tangent rule,

tan(∠E) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{\text{CD}}{\text{DE}}$

tan(30)° = $\frac{\text{CD}}{2\sqrt{3}}$

$\frac{1}{\sqrt{3}}=\frac{\text{CD}}{2\sqrt{3}}$

CD = $\frac{2\sqrt{3}}{\sqrt{3}}$

CD = 2 units

Therefore, CD = 2 unit will be the answer.

4 0

3 years ago

Find the area of the figure. PLEASE HELP

IrinaK [193]

Answer:

23.49 in.

Step-by-step explanation:

Formula for area of triangle: 1/2 * b * h

1/2 * 16.2 = 8.1

8.1 * 2.9 =23.49 in.

5 0

3 years ago

Read 2 more answers

Express 4 : 40 as a percent

Arte-miy333 [17]

40 = 40 × 100% = 4,000%

Answer: 40 = 4,000%

3 0

4 years ago

The longest side of a right triangle is 15 feet. The third side is 15 less than three times the shortest side. Find the length o

luda_lava [24]

Answer: The shortest side is 9ft

Step-by-step explanation: If the longest side is identified as 15 ft, then we already have our hypotenuse (the longest side in a right angled triangle).

If the shortest side is labelled as x, then the third side of the triangle would be labelled as 3x - 15 (15 less than three times the shortest side).

Now we have three sides of a triangle which we can label as 15, x and 3x - 15

By applying the Pythagoras theorem, AC² = AB² + BC²

(Where AC is the hypotenuse and AB and BC are the other two sides)

15² = X² + (3x-15)²

By expansion, (3x-15)² becomes 9x² - 90x + 225

Hence, 225 = X² + 9X² - 90X + 225

225 = 10X² - 90X + 225

Subtract 225 from both sides of the equation

10X² - 90X = 0

Factorize the left hand side of the equation by 10x

10x (x - 9)= 0

Therefore, either

10x = 0 OR

x - 9 = 0

If 10x=0, then x=0. OR

If x - 9 = 0, then x = 9

The length of the shortest side is 9ft.

4 0

3 years ago

a triangular shape has an area of 70 square inches the height is 8 and three fourths write and solve an equation to find the len

Gala2k [10]

Area formula of a triangle is:
A = $\frac{1}{2} bh$
We know the area and the height, so substitute to find the base

A = 70 m²
h = 8.75 m or $8 \frac{3}{4}$ m (its the same thing)

70 = $\frac{1}{2}$ × b × 8.75
70 = 4.375b
Divide by 4.375 on either sides to isolate b
$\frac{70}{4.375} = \frac{4.375b}{4.375}$
4.375 and 4.375 cancels out

16 m = b

The base of this triangle is 16 m

5 0

3 years ago