Combine like terms: 80 + 50m + 65 + 40m

96 divided by 6 distributive property of multuiplication

ololo11 [35]

Do 96 divided by 6.

6 goes into 96 16 times. therefore, your answer is 16

6 0

3 years ago

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

Solution : -

In the given triangle ,

Base = TE

Perpendicular = TS ( 35 feet )

Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

<h2>#Keep Learning</h2>

6 0

2 years ago

Read 2 more answers

What statement are true about this expression 2/3n +58.6

vampirchik [111]

Step-by-step explanation:

perdon no entindo

6 0

3 years ago

From the yearbook receipts the students council deposited apart of the $1200 in a saving account receiving 9% interest per annum

Naddika [18.5K]

There was $800 deposited at 9% interest and $400 deposited at 4% interest.

The formula for simple interest is I = prt. Using our information we have:

88 = x(0.09)(1) + (1200-x)(0.04)(1)
88 = 0.09x + 48 - 0.04x
88 = 0.05x + 48

Subtract 48 from both sides:
88 - 48 = 0.05x + 48 - 48
40 = 0.05x

Divide both sides by 0.05:
40/0.05 = 0.05x/0.05
x = 800
1200 - x = 400

8 0

3 years ago

Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers o

hoa [83]

Answer:

Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers of book copies sold? Beth sold half the number of book copies that Rodney sold.

Rodney sold half the number of book copies that Beth sold.

Beth sold twice the number of book copies that Rodney sold.

Rodney sold the same number of book copies that Beth sold.

Step-by-step explanation:

5 0

3 years ago

Combine like terms: 80 + 50m + 65 + 40m​

Combine like terms: 80 + 50m + 65 + 40m