All categories

3 years ago

Angle RST below is a right angle. What is the measure, in degrees, of

Mathematics

2 answers:

den301095 [7]3 years ago

8 0

Answer:

RSM = 56.4

Step-by-step explanation:

RSM + MST = RST

RSM + 33.6= 90

Subtract 33.6 from each side

RSM + 33.6 - 33.6= 90-33.6

RSM= 90-33.6

RSM = 56.4

vagabundo [1.1K]3 years ago

7 0

RST is a right angle, and right angles are 90 degrees

RST = 90 degrees

MST = 33.6 degrees

RSM = ?

The angles MST and RSM add up to 90 degrees

90 = 33.6 + RSM

Subtract 33.6 from both sides

56.4 degrees = RSM

You might be interested in

lyn put 3 7/8 gas in her gas tank. If there are now 18 1/6 gallons in her tank, how many gallons did she start with?

djyliett [7]

Answer:

14.3 gallons

Step-by-step explanation:

18 1/6 gallons - 3 7/8 = 14.29

18 - 3 = 15

1/6 - 7/8 = 15 - 0.70833333333 = 14.2916666667

You need to be careful here if you use basic subtraction, simply as two minus would change to addition.

3 0

3 years ago

Which polynomial represents the difference below?

Alja [10]

Answer:

c. - $x^{2}$ + 8x + 6

Step-by-step explanation:

2 $x^{2}$ + 7<em>x + 6 - (3</em> $x^{2}$ - x)

2 $x^{2}$ + 7x + 6 - 3 $x^{2}$ + x (Distributed the negative to terms inside parentheses)

- $x^{2}$ + 8x +6 (Combine like terms)

7 0

3 years ago

Find the slope of the line passing through (-4, 1) and (-1, -2).

Oksana_A [137]

Answer: 1

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-2 - 1 = -3

-1 - -4 = 3

-3/3 = 1

3 0

3 years ago

Read 2 more answers

Gisselle has 1/2 of a candy bar. She role off 1/2 of what she had. She then took the piece she broke off and split it into three

saul85 [17]

Answer:

$\frac{1}{12}$

Step-by-step explanation:

Given:

Gisselle has 1/2 of a candy bar.

She role off 1/2 of what she had and split it into three equal pieces.

Question asked:

What fraction of a candy bar was each piece?

Solution:

Gisselle has = $\frac{1}{2} \ of \ a \ candy \ bar$

She role off = $\frac{1}{2} \ of \ what\ she \ had$

$=\frac{1}{2} \ of\ \frac{1}{2}\\=\frac{1}{2} \times \frac{1}{2}\\\\=\frac{1}{4}$

As she split it into three equal pieces, we will divided it by 3, we get,

$\frac{1}{4} \div3\\\frac{1}{4}\times\frac{1}{3}$

$\frac{1}{12}$

Therefore, fraction of a candy bar of each piece is $\frac{1}{12}$

4 0

3 years ago

The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 15 c

vladimir2022 [97]

Answer:

Therefore the volume of the gas is 32 cubic feet.

Step-by-step explanation:

Given that,

The volume of a gas varies directly with its temperature and inversely with the pressure.

$V\propto \frac{T}{P}$

V= Volume of the gas at constant mass

T= Temperature at constant mass

P= pressure at constant mass

$\frac{V_1}{V_2}=\frac{\frac{T_1}{T_2}}{\frac{P_1}{P_2}}$

$\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}$ .

Given that,

At constant mass, the volume of a certain gas is 15 cubic feet and a pressure of 40 pound per square inch at a temperature 300 k.

$V_1$ =15 cubic feet, $P_1$ =40 pound per square inch and $T_1$ = 300 K

$V_2=?$ , $P_2$ =20 pound per square inch and $T_2$ = 320k

$\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}$ .

Plugging all values

$\frac{15}{V_2}=\frac{300\times 20}{320\times 40}$

$\Rightarrow V_2=\frac{15\times 320\times 40}{300\times 20}{}$

$\Rightarrow V_2=32$ cubic feet

Therefore the volume of the gas is 32 cubic feet.

4 0

3 years ago