What is the volume of the
rectangular prism shown
below?

The area of triangle ACD and ABC are 17 and 46.75 square units respectively

The formula for finding the area of a triangle is expressed as:

A = 0.5bh

where:

b is the base

h is the height

Area of the triangle ACD = 0.5DE * AC

Area of the triangle ACD = 0.5(2)(17)

Area of the triangle ACD = 17 square units

For the triangle ABC

Area =  0.5(BE)(AC)

Area= 0.5(5.5)(17)

Area = 46.75square units

Hence the area of triangle ACD and ABC are 17 and 46.75 square units respeectively

Learn more on area of triangle here:  https://brainly.com/question/17335144

Answer:

y = 4 1/3x+ 6  

Step-by-step explanation:

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs at x=0 or point (0,b).

-18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  =  y=4 1/3 x+b

Step 2. -18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  is a vertical line or parallel to the y-axis. So a line perpendicular to x= 4 1/3  is a horizontal line parallel to the x-axis.

Step 3. Therefore y= 4 1/3  is a horizontal line parallel to the x-axis. Now, the line needs to pass through point (5,6) or x=5 and y=6. Then, y=b=6 or y=6 is the equation of the line. but then  x = 4 1/3   so y = 4 1/3x + 6  

Step 4. ANSWER: The equation is  y = 4 1/3x+ 6  where slope m=4 1/3 and y intercept b=6.  

Answer:

Stem  Leaf

5          4 6

6          2 5 6

7          0 2 2 4

8          5 5 8 8 8

9          0 1 2 7 9

Step-by-step explanation:

That is how the stem and leaf plot will look like

Hope this helps

Answer:

[tex]x=\frac{324}{5}[/tex]

Step-by-step explanation:

Given the following question:

[tex]\sqrt{5x} -7-3=8[/tex]

To find the answer we are going to use inverse of operations to isolate the variable x, doing this we can then find the value of the variable and then have our answer.

[tex]\sqrt{5x} -7-3=8[/tex]
[tex]-7-3=-10[/tex]
[tex]\sqrt{5x} -10=8[/tex]
[tex]-10+10=0[/tex]
[tex]8+10=18[/tex]
[tex]\sqrt{5x} =18[/tex]
[tex]\sqrt{5x} =5[/tex]
[tex]18\times18=324[/tex]
[tex]5x=324[/tex]
[tex]5x\div5=x[/tex]
[tex]324\div5=x=\frac{324}{5}[/tex]
[tex]x=\frac{324}{5}[/tex]

Your answer is "x = 324/5."

Hope this helps.

Answer:

Solution

20%× X= 5%×680

or, X=170.

The required number is 170.

Answer:

perimeter =22units

Step-by-step explanation:

30units is supposed to be the are and its supposed to be 30 units squared

Answer:

2

Step-by-step explanation:

Answer:

the correct answer is 2

Step-by-step explanation:

hope you have a great day -TJ

may i pls have brainliest thank you

Answer:

Area of a triangle = l*b

                              = 183/5*50/3

                              = 36.6*16.66

                              = 609.756 m

Answer:

Option E

Step by step explanation:

We know that angle J is a right angle meaning it's an angle 90 degrees. So to find angle L;

90+40+L=180

130+L=180

L=180-130

So therefore angle L =50 degrees

Now to find side J which is the opposite in the triangle,we use tan because it has adjacent and opposite which is what we're looking for;

Tan 40 degrees =opposite/26

We cross multiply

Opposite =Tan 40 degrees×26

Opposite =21.8

Side J=21.8

With side J found we can find side L using Pythagoras theorem

L^2=21.8^2 +26^2

L^2=475.24+676

L^2=1,151.24

L=Square root of 1,151.24

L=33.9

Answer:

  A) Angle L= 50 degrees, side L= 31.0, side J= 40.4

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. The given side of k is opposite the given angle K, so the sine or tangent functions can be used to find missing sides. If we want to start with the hypotenuse, we can use the relation ...

  Sin = Opposite/Hypotenuse

  sin(40°) = 26/j

  j = 26/sin(40°) ≈ 40.4 . . . units (matches choice A)

Similarly, we can use the tangent relation to find side ℓ:

  Tan = Opposite/Adjacent

  tan(40°) = 26/ℓ

  ℓ = 26/tan(40°) ≈ 31.0 . . . units (matches choice A)

Of course, angle L is the complement of 40°:

  L = 90° -40° = 50°

The solution to the triangle is L = 50°, ℓ = 31.0, j = 40.4.

Answer:

3x-9

Step-by-step explanation:

Answer:

does this help?........

Answer: -122

Step-by-step explanation:

-234+112=-122 hope that helps!

Answer:

-122

Step-by-step explanation:

Answer:

Multiplication.

Parentheses comes first, regardless of PEMDAS. When you see parentheses, only the P for parentheses in PEMDAS should be your main concern.

Answer: 1.2y+5

If 1+4 =5 and 2.1y-0.9y=1.2y then 1+2.1y-0.9y+4 = 1.2y+5

Answer:

1, 4, 5, 6, & 9 are the only digits that can be the last digit of the square of a natural number.

Step-by-step explanation:

Answer: No solution

Step-by-step explanation:

Subtracting x from both sides, we get 5=45, which is false.

Answer:

6 cupcakes for £5

Step-by-step explanation:

Given :-

Two options

To Find :-

Which is better value for money

Solving :-

Find the cost of one cupcake of the two options

1. 6 cupcakes = £5

=> 1 cupcake = £0.83

2. 4 cupcakes = £3.50

=> 1 cupcake = £0.875

Solution :-

It would be wiser to purchase 6 cupcakes for £5

Answer:

5

Step-by-step explanation:

-20 / -4 = 5

A negative divided by a negative is positive!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Equivelant fractions.

Step-by-step explanation:

Ask your self..

How did the 1/3 become 7/21?

Its very simple multiply 1/3's numerator and denominator by 7

So its going to be.. 1 x 7 = 7

3 x 7 = 21

Therefore, we have 7/21

Answer: x=-3

Step-by-step explanation:

In this question, they simply want you to find a pair of x and y-coordinates that would be valid in this equation.

We can take a random number for x, like, say, 3.

y = 2x + 6

y = 2(3) + 6

y = 6 + 6

y = 12

Since giving the value of 3 to x results in y being 12, we can safely say that the coordinates (3, 12) would be valid in this equation. Therefore:

(12) = 2(3) + 6

Let me know if you need me to explain anything.

- Breezyツ

Depth is 3.81

Step-by-step explanation:

V = l x w x d

11.43 = 2.5 x 1.2 x d

11.43 = 3 x d

÷3

3.81 = d

Hope this helps!

6.0x74=444

4.5x80=360

5.1 x 78 = 397.8

1.9 x 70=133

Answer:

(1+1)+1=3 therefore 3×10¹

Answer: 3 times 10 to the power of just 0

Step-by-step explanation:

(1+1) + 1 is 3

So now we must put the number 3 in standard form...

The answer for this would be 3 times 10 to the power of 0

Answer:

  7 cubic units

Step-by-step explanation:

There are 6 unit cubes on the bottom layer, and one on the top layer. The total volume is ...

  6 +1 = 7 . . . . cubic units

The perpendicular bisector of the diameter divides the diameter into two equal parts i.e. the radius

From the diagram of the circle, we have two diameters, each of which have two endpoints.

This means that there are four endpoints in the figure.

Next, we connect adjacent endpoints on the diagram

When the endpoints are connected, the shape formed is a square

See attachment for the sketch

Read more about constructions at:

https://brainly.com/question/1686819

Answer:

$28.26

Step-by-step explanation:

In order to find out how much each gallon of gas cost, you need to divide the $48.67 by the 15.5 gallons. This would equal 3.14 So the cost for one gallon is $3.14

Then you would need to multiply this number by the 9 gallons to get the price. Which would equal $28.26

Answer:

line 2.

Step-by-step explanation:

the correct way is provided in the attachment (under the green line). Note, only positive value (it is the length of the side) can be considered as answer.

The sequence of transformations involves reflection, translation, dilation and reflection

The question is incomplete;

So, I will give a general explanation

For the two rectangles are similar shapes, then the corresponding sides of the shapes must be similar.

If the rectangles do not have the same size, then the scale ratio of the sides of the rectangles must be the same

if the rectangles have the same size, then the rectangles must fit perfectly on one another

Read more about transformation at:

https://brainly.com/question/4289712

Answer:

Given: A = 72°, a = 34, b = 21

Calculated: B = 35.97°, C = 72.03°, c = 34.00

Step-by-step explanation:

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin B}{21} [/tex]

[tex] \sin B = \dfrac{21\sin 72^\circ}{34} [/tex]

[tex] \sin B = 0.5874 [/tex]

[tex] B = \sin^{-1} 0.5874 [/tex]

[tex] B = 35.97^\circ [/tex]

C = 180° - 72° - 35.97°

C = 72.03°

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin 72.03^\circ}{c} [/tex]

[tex]c = \dfrac{\sin 72.03^\circ \times 34}{\sin 72^\circ}[/tex]

[tex] c = 34.00 [/tex]

Given: A = 72°, a = 34, b = 21

Calculated: B = 35.97°, C = 72.03°, c = 34.00

Answer:

[tex]B\approx35.97^\circ\\C\approx72.03^\circ\\c\approx34[/tex]

Step-by-step explanation:

Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Given information

[tex]A=72^\circ\\a=34\\b=21[/tex]

Check if solutions exist

As [tex]A=72^\circ < 90^\circ[/tex] and that [tex]a > b\rightarrow 34 > 21[/tex], then there exists only one possible triangle by the Ambiguous Case

Solve the triangle

[tex]\frac{sin(72^\circ)}{34}=\frac{sin(B)}{21}\\ \\ 21sin(72^\circ)=34sin(B)\\\\\frac{21sin(72^\circ)}{34}=sin(B)\\ \\B=sin^{-1}(\frac{21sin(72^\circ)}{34})\\ \\B=35.97394255^\circ\approx35.97^\circ[/tex]

[tex]A+B+C=180^\circ\\\\72^\circ+35.97394255^\circ+C=180^\circ\\\\107.97394255^\circ+C=180^\circ\\\\C=72.02605745^\circ\approx72.03^\circ[/tex]

[tex]\frac{sin(72^\circ)}{34}=\frac{sin(72.02605745^\circ)}{c}\\\\c*sin(72^\circ)=34sin(72.02605745^\circ)\\\\c=\frac{34sin(72.02605745^\circ)}{sin(72^\circ)}\\ \\c=34.00502065\approx34[/tex]

There are three section here

First section is the event of only E, the second is the event of only F, and the third is the event of the overlap of E and F

E or F means the total unit of events. Which is (only E)+(only F)-(E and F)

Using substitution we get 45=20+45-(E and F)

solving the equation

E and F=65-45

E and F=20

Therefore, P(E and F) is 20

I hope this helps, if you have any questions please ask!