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1 year ago

So I need help trying to answer these triangle problems. I don't know how to find the measure of an angle

Mathematics

1 answer:

Nastasia [14]1 year ago

4 0

Answer:

try using a protractor

Step-by-step explanation:

when you use a protractor it can be easier and collect all like terms together

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Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9

amm1812

3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3
k = -3 ← simplest form

8 0

3 years ago

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height

Masja [62]

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

6 0

2 years ago

On the first part of a journey, Alan drove a distance of x km and his car used 6 litres of fuel.

irinina [24]

Answer:

$\frac{600}{x+20}\text{ litres per 100 km}$

Step-by-step explanation:

Given,

The number of litres consumed by car in (x+20) km = 6,

So, number of litres consumed by car in 1 km = $\frac{6}{x+20}$ ,

Now, number of litres consumed by car in 100 km = 100 × litres consumed by car in 1 km

$=100\times \frac{6}{x+20}$

$=\frac{600}{x+20}$

Hence, the rate of fuel used by his car would be $\frac{600}{x+20}$ litres per 100 km.

6 0

3 years ago

The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba

siniylev [52]

The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

$x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17$

The length of the base of a parallelogram must be a positive number, so x=12.

$\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17$

The base is 12 feet long, the height is 17 feet long.

8 0

2 years ago

Please help i need this as soon as possible

masya89 [10]

It's a quadratic so the parent function will be
$y = x ^{2}$
We can see that it has been shifted to the right 5 units, which gives us a new function
$y = (x - 5) ^{2}$
It has also been shifted up 9 units:
$y = (x - 5) ^{2} + 9$
But it has also been flipped across the y-axis which makes this the final change we need to do:
$y = - (x - 5) ^{2} + 9$

8 0

3 years ago