What is the volume of the composite shape to the nearest whole number? (Pls answer, due today!)

How many triangles exist with the given angle measures? 30 degrees, 65 degrees, 85 degrees No triangle exists with the given ang

bekas [8.4K]

One specific triangle CAN be made with those angles because of the 180 degree total.

8 0

3 years ago

When it was 70 degrees outside, 50 members showed up at a beach club. For each degree the temperature rose, another 10 members c

strojnjashka [21]

The function f(t), that represents the number of members at the beach club as a function of the temperature is f(t) = 10t + 50

Solution:

Given that, When it was 70 degrees outside, 50 members showed up at a beach club.

For each degree the temperature rose, another 10 members came to the beach club.

We have to write the function, f(t), that represents the number of members at the beach club as a function of the temperature.

Now, according to the given information,

Initially 50 members and then, members keep on adding by rise in temperature,

So, 50 + t x 10 [ t represents change in temperature, and 10 is number of people who joins club ]

Then, f(t) = 10t + 50.

Hence, the function is f(t) = 10t + 50

3 0

3 years ago

A couple decided to have 4 children.

AveGali [126]

See below the theee of possibilities:

BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
BGGG
GBBB
GBBG
GBGB
GBGG
GGBB
GGBG
GGGB
GGGG

There are 16 differents possibilities.
In 11 of them have at least 2 boys

So probability is 11/16

7 0

3 years ago

What is the y-intercept of the equation of the line that is perpendicular to the line y =

Luda [366]

Answer:

$y$ intercept $=10$

line $y=-x+10$

Step-by-step explanation:

Let $y=mx+b$ is the required line.

Slope of perpendicular lines : If $m_{1}$ and $m_{2}$ be slope of two perpendicular lines. Them $m_{1}\times m_{2}=-1$

$y=mx+b$ is perpendicular to $y=x+10$

the slope of $y=x+10$ is $=1$

$m\times 1=-1\\m=-1$

Hence eqn is $y=-x+b$

This equation passes through $(15,-5)$

$-5=-15+b\\b=-5+15\\b=10$

so the line is $y=-x+10$

y-intercept :

Substitute $x=10$

$y=0+10\\y=10$

7 0

3 years ago

Let a represent the number of ounces of perfume A. Let b represent the number of ounces of perfume B. Perfume A costs $11 per ou

Julli [10]

Answer:

The system of equations in standard form is equal to

$11a+19b=71$

$a+b=5$

The number of ounces of perfume A is $3\ ounces$

The number of ounces of perfume B is $2\ ounces$

Step-by-step explanation:

Let

a-----> the number of ounces of perfume A

b----> the number of ounces of perfume B

we know that

$11a+19b=71$ -----> equation A

$a+b=5$

$a=5-b$ -----> equation B

substitute equation B in equation A and solve for b

$11(5-b)+19b=71$

$55-11b+19b=71$

$8b=71-55$

$8b=16$

$b=2\ ounces$

Find the value of a

$a=5-b$ -----> $a=5-2=3\ ounces$

8 0

2 years ago

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