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Nady [450]
3 years ago
12

Can someone answer this for me

Mathematics
1 answer:
Sloan [31]3 years ago
7 0
The slope would be 3/2
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The following triangles are similar. Find x.
AlladinOne [14]

Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:

\frac{4}{12} \rightarrow 4:12

12 \div 4 = 3

To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3

5 \times 3 = 15

That means x = 15

8 0
3 years ago
Point A(3,2) is on a circle whose center is C(−2,3). What is the radius of the circle?
goldfiish [28.3K]

Answer:

The radius of the circle is √26.

Step-by-step explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

To find the distance between two points, the following equation should be used:

x^{2} =(x_{A}- x_{C}) ^{2} + (y_{A}- y_{C}) ^{2}

Replacing the numeric values:

r^{2} =(3- (-2)) ^{2} + (2-3) ^{2}\\r^{2} =(5) ^{2} + (-1) ^{2}\\r=\sqrt{26}

The radius of the circle is √26.

6 0
3 years ago
P={x:x is a natural number,x<9​
Elanso [62]

Answer:

x:x = 1 so it is a natural number

Step-by-step explanation:

it can be any negative number because: -x<9

and any number from 1 to 8

(x cannot be 0, because you cannot do 0/0 = 1)

5 0
3 years ago
Read 2 more answers
Amelia claims that if she doubles the length and width of the base of a rectangular prism and triples the height, she has increa
julia-pushkina [17]

Answer:

Step-by-step explanation:

(2L)(2W)(3H) = 12LWH.

Amelia gets it.

3 0
3 years ago
What is the value of sin(t) if cos(t)=0.1, and t is in quadrant 1
Marizza181 [45]

Answer:

sin(t)=\frac{\sqrt{99}}{10}

Step-by-step explanation:

Remember that

If angle t belong to the First Quadrant

then

The value of sin(t) and cos(t) are positive values

we know that

sin^2(t)+cos^2(t)=1 ---> by trigonometric identity

we have

cos(t)=0.1=\frac{1}{10}

substitute

sin^2(t)+(\frac{1}{10})^2=1

sin^2(t)+\frac{1}{100}=1

sin^2(t)=1-\frac{1}{100}

sin^2(t)=\frac{99}{100}

sin(t)=\frac{\sqrt{99}}{10}

8 0
4 years ago
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