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3 years ago

Find the difference (7a-6b+7) - (8a-2)

1 answer:

6 0

Hey there!

Let's set up our expression:

(7a-6b+7)-(8a-2)

In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:

7a-6b+7-8a+2

Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:

(7a-8a) - 6b + (7+2) =

-a - 6b + 9

Hope this helps!

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Find the surface area of the square pyramid below if the length of the sides of the base are 10 cm, and the slant height is 15 c

Damm [24]

The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²

<h3>Surface area</h3>

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

where,

a = sides of base = 10 cm
h = slant height = 15 cm

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

= 10² + 2(10)√10²/4 + 15²

= 100 + 20√100/4 + 225

= 100 + 20√25 + 225

= 100 + 20√250

= 100 + 20(15.81)

= 100 + 316.2

= 416.2 cm²

Learn more about surface area:

brainly.com/question/16519513

#SPJ1

4 0

2 years ago

Robin is flying a kite. She ties the 50 foot kite string to the ground. If the kite is

krok68 [10]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Given :-</h3>

We have given in the question that, Robin is flying a kite.
She ties the 50 foot kite string to the ground .
The kite is flying at 40 feet high

We have to find the measure of the angle the string forms with the group that is angle of elevation.

<h3>Let's Begin :-</h3>

According to the given question,

Hypotenuse AC ( Distance of string from the ground) = 50 ft.
Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.

<h3>Therefore, </h3>

By using trigonometric ratios,

{ $\bold{\pink{ Sin Φ = }}{\bold{\pink{\dfrac{Perpendicular}{Hypotenuse }}}}$

$\bold{\red{ Cos Φ = }}{\bold{\red{\dfrac{Base}{Hypotenuse }}}}$

$\bold{\purple{ Sin Φ = }}{\bold{\purple{\dfrac{Perpendicular}{Base }}}}$ }

The Angle of elevation will be 

[ The angle that is formed between the line of sight and base of the triangle is called angle of elevation ]

$\bold{\pink{Sin Φ = }}{\bold{\pink{\dfrac{AB}{AC }}}}$

$\sf{ Sin Φ = }{\sf{\dfrac{40}{50 }}}$

$\sf{ Sin Φ = }{\sf{\dfrac{4}{5}}}$

$\sf{ Sin Φ = 0.8 }$

$\bold{\green{ Φ = 45.83° }}$

Hence, The measure of the angle the string forms with the ground is 45.83° .

7 0

2 years ago

Write 50,722 in expanded form

avanturin [10]

Answer:

50,722 =

50,000

+ 0

+ 700

+ 20

+ 2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A stack of cards is numbered 1 to 21. Allison pulls one card from the stack.

Nataly_w [17]

D.) 52%, this is because there are 11 odd numbers for 1 to 21, so the fraction is 11/21, which is approximately 52%

4 0

3 years ago

Part1; The nth term of a geometric sequence is given by a_n = 4(0.75)^n-1, write the first five terms, and find the 5th partial

Lemur [1.5K]

Just take n=1,2,3,4,5 respectively to find out the first 5 terms.

First 5 terms = 4,3,2.25,1.69 respectively.

For the 5th partial sum, just add the first 5 terms.

5th partial sum = 10.34

....

First 4 terms : 5,8,11,14 respectively.

Now you need to find the other next 4 terms to find out the 8th partial sum.

17,20,23,26

8th partial sum = 124

Hope this helps:)

7 0

3 years ago