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3 years ago

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Mathematics

1 answer:

Ivanshal [37]3 years ago

7 0

Answer:

810

Step-by-step explanation:

$V = l * w * h = 5 * 9 * 18 = 810\ cm^3$

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Mhanifa please help. Look at the picture attached. I will mark brainliest

frozen [14]

Answer:

tangent = opposite leg / adjacent leg
tan ∠F = DE/ EF
tan ∠F = 24/7

<u>Option D</u>

Sine and cosine are same for complementary angles.

Complementary of 67° is 90° - 67° = 23°.
sine 67° = cosine 23°

7 0

3 years ago

Four less than 5 times a number is the same as 26 more than twice the number.

Tju [1.3M]

Answer:

False

Step-by-step explanation:

5x - 4 versus 2x + 26

Imagine x equals 1, then the equations would be:

5(1) - 4 and 2(1) + 26

1 and 28 are not equivalent.

Another example would be x = 6

5(6) - 4 and 2(6) + 26

26 and 38 are not equivalent.

No matter what you replace x with, the expressions are never equal.

7 0

3 years ago

Read 2 more answers

The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find

julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

$Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49$

This results into:

$2l^2-l^2+14l-18l-81+49=0$

$l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0$

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

5 0

3 years ago

Which equation represents the solution of the equation 6x – 18 = 30?

Goryan [66]

Answer:

x=8

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

(08.07 HC)

katovenus [111]

Answer:

Below in bold.

Step-by-step explanation:

Part A

At the x-intercepts f(x) = 0, therefore:

2x^2 - 3x - 5 = 0

(2x - 5)(x + 1) = 0

x = 5/2, -1)

So the x intercepts are (-1, 0) and (5/2, 0).

Part B

The Coefficient of x^2 is positive ( it is 2) So the graph opens upwards and the vertex will be a minimum.

Convert f(x) to vertex form, by completing the square:

f(x) = 2x^2 - 3x - 5

= 2(x^2 - 3/2x) - 5

= 2[(x - 3/4)^2 - 9/16] - 5

= 2(x - 3/4)^2 -18/16 - 80/16

= 2(x - 3/4)^2 - 49/8

So the coordinates of the vertex are

(3/4, -49/8) or

(0.75, -6.125) in decimal form.

Part C

To graph f(x) you would first mark the points on the x axis which we found in Part 1 and the vertex found in Part 2. This vertex will be the bottom of the 'U'.

The graph is a parabola shaped roughly like a U, and will be symmetrical about the line x = 0.75 (which passes through the vertex).

You would also plot 2 more points above the x axis so as to get an accurate graph. 1 would be to the left of the line of symmetry and 1 to its right.

Suggest x = - 2 and calculate f(-2) = 2(-2)^2 - 3(-2) - 5 = 11.

- that is the point (-2,11) and the other would be x = 4, f(x) = 15. (4, 15)

Once you have plotted these points draw a smooth u shaped curve through them.

3 0

2 years ago