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Iteru [2.4K]
3 years ago
14

When drawing a card, find the probability of drawing a spade or selecting a number less

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

Therefore, there 16 chances of getting a spade OR a five.

Step-by-step explanation:

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What is the volume?
defon

Answer:

in math volume is the amount of space in a certain 3D object.

Step-by-step explanation:

For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six.

7 0
3 years ago
Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
natta225 [31]

Answer:

Correct answer is:

The transformation was a 180° rotation about the origin.

Step-by-step explanation:

Given the triangle RST formed by points:

R (1, 1),\\S (3, 1)\ and\\T (1, 6)

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)

Please refer to the attached image for the given dimensions and coordinates.

It is clearly visible that:

The given triangle RST has coordinates in first quadrant.

and the resulting coordinates R'S'T' are in third quadrant.

The rotation of angle from 1st quadrant to 2nd quadrant is 90^\circ and

The rotation of angle from 2nd quadrant to 3rd quadrant is 90^\circ.

<em></em>\therefore<em> total rotation is </em>180^\circ.

8 0
3 years ago
Simplify the following expressionn.
kompoz [17]

Answer: A. 136

B. 8.3

C. 155

D. 27.3

Step-by-step explanation:

Gdhssse bheee

5 0
4 years ago
Read 2 more answers
If the original square had a side length of
irina [24]

Answer:

Part a) The new rectangle labeled in the attached figure N 2

Part b) The diagram of the new rectangle with their areas  in the attached figure N 3, and the trinomial is x^{2} +11x+28

Part c) The area of the second rectangle is 54 in^2

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure N 1

Part a) If the original square is shown below with side lengths marked with x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above

we know that

The dimensions of the new rectangle will be

Length=(x+4)\ in

width=(x+7)\ in

The diagram of the new rectangle in the attached figure N 2

Part b) Label each portion of the second diagram with their areas in terms of x (when applicable) State the product of (x+4) and (x+7) as a trinomial

The diagram of the new rectangle with their areas  in the attached figure N 3

we have that

To find out the area of each portion, multiply its length by its width

A1=(x)(x)=x^{2}\ in^2

A2=(4)(x)=4x\ in^2

A3=(x)(7)=7x\ in^2

A4=(4)(7)=28\ in^2

The total area of the second rectangle is the sum of the four areas

A=A1+A2+A3+A4

State the product of (x+4) and (x+7) as a trinomial

(x+4)(x+7)=x^{2}+7x+4x+28=x^{2} +11x+28

Part c) If the original square had a side length of  x = 2 inches, then what is the area of the  second rectangle?

we know that

The area of the second rectangle is equal to

A=A1+A2+A3+A4

For x=2 in

substitute the value of x in the area of each portion

A1=(2)(2)=4\ in^2

A2=(4)(2)=8\ in^2

A3=(2)(7)=14\ in^2

A4=(4)(7)=28\ in^2

A=4+8+14+28

A=54\ in^2

Part d) Verify that the trinomial you found in Part b) has the same value as Part c) for x=2 in

We have that

The trinomial is

A(x)=x^{2} +11x+28

For x=2 in

substitute and solve for A(x)

A(2)=2^{2} +11(2)+28

A(2)=4 +22+28

A(2)=54\ in^2 ----> verified

therefore

The trinomial represent the total area of the second rectangle

7 0
4 years ago
Solve.<br><br> m - 15 = 20<br><br> m =
Fittoniya [83]

\text{Hello There!}

\text{We are going to need to isolate the variable}

m - 15 = 20

\text{Add 15 to both sides.}

\text{We do this because we need to perform inverse operations to find} \text{the value of the variable.}

m - 15 + 15 = 20 + 15 = 35

\fbox{Therefore, your answer is going to be 35.}

\rule{300}{1.5}

7 0
3 years ago
Read 2 more answers
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