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2 years ago

Find the value of a.

Mathematics

2 answers:

Sergeeva-Olga [200]2 years ago

7 0

Answer:

mthway

Step-by-step explanation:

math*

shusha [124]2 years ago

3 0

= 81° + a° + a° = 180° ( angle sum property )

$81° + 3a = 180° \\ 3a = 180 - 81 \\ 3a = 99 \\ a = \frac{99}{3} \\ a = 33°$

The three angles of this triangle are :

$\: ∠1 \:= 81° \\ \: \: ∠2 = 2a = 2 \times 33 = 66° \\ ∠3 = a = 33 \\ \\ ∴ \: a = 33° \:$

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Which integer represents each situation deposit of $15

Lena [83]

Answer: +15

Step-by-step explanation: A deposit of $15 is an increase,

which means that it's positive.

So it can be written as +15.

5 0

3 years ago

13. A smoothie shop has 40 stores, and 55% of the stores are in

S_A_V [24]

Answer:

You could answer this two ways.

Step-by-step explanation:

Method 1: Set up proportion

x/40=55/100

Cross-multiply and you will get..

2200=100x

x=22

Method 2: Use decimals

As we saw in the first method, 55 percent is equal to 55/100. 55/100 is equal to 0.55.

You can multiply 0.55 and 40 to get the answer as well.

0.55 times 40 is 22.

Hope this explanation helped! ☺️

6 0

2 years ago

Read 2 more answers

“ write all your answers with a positive exponent so your answer will be in the form of x^# or 1/(x^#)

gayaneshka [121]

Answer:

Step-by-step explanation:

5). $\frac{1}{x^{-9}}$ = $\frac{1}{\frac{1}{x^9} }$

= $x^{9}$

6). $\frac{1}{x^{-2}}=\frac{1}{\frac{1}{x^2} }$

= x²

7). $x^{-6}=\frac{1}{x^6}$

8). $\frac{1}{x^{-7}}=\frac{1}{\frac{1}{x^7} }$

= $x^{7}$

9). $x^{-8}=\frac{1}{x^8}$

10). $\frac{1}{x^{-3}}$ = $\frac{1}{\frac{1}{x^{3}}}$

= x³

7 0

2 years ago

A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?

avanturin [10]

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

$V=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

$r=10.4\ ft\\\\h=8.4\ ft$

You get this volume:

$V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3$

If you double the radius, the volume of the conical tent will be:

$V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3$

When you divide both volumes, you get:

$\frac{3,805.70\ ft^3}{951.43\ ft^3}=4$

Therefore, doubling the radius will quadruple the volume of the tent.

5 0

2 years ago

Simplify (4x − 6) − (5x + 1). (1 point)

seraphim [82]

Answer:

4) -x - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(4x - 6) - (5x + 1)

Step 2: Simplify

Distribute negative: 4x - 6 - 5x - 1
Combine like terms (x): -x - 6 - 1
Combine like terms (Z): -x - 7

5 0

2 years ago