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lesya692 [45]
3 years ago
7

Expand and simplify (x+3)(x+5) plsss

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

x^2+8x+15

Step-by-step explanation:

Use the distributive property of equality to multiply and get:

x^2+5x+3x+15

Simplify by combining like terms to get your end result:

x^2+8x+15

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Find the area of the figure.EXPlAIN THE STEPS!!!!
hichkok12 [17]

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

  1. Divide the shape into two smaller "known" shapes (Refer to image).
  2. Determine the area of those "known" shapes.
  3. Add the area of the known shapes to obtain the area of the figure.

<u>Determining the area of shape 1 (Rectangle 1):</u>

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 2.1 × 4.8

⇒                               = 10.08 yd²

<u>Determining the area of shape 2 (Rectangle 2):</u>

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 6.4 × 3.2

⇒                               = 20.48 yd²

<u>Determining the area of the figure:</u>

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒                         = 10.08 + 20.48

⇒                         = 30.56 yd²

6 0
3 years ago
A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

7 0
3 years ago
Find the total of the figure below. PLEASEEE HELPPPPPPPP!
KATRIN_1 [288]
The answer is 134 ft^2



the area of the smaller rectangle:
5 \times 6 = 30



the area of the other rectangle:
8 \times 13 = 104




the area of the whole shape:
104 +30 = 134



good luck
3 0
3 years ago
CAN ANYONE HELP ME ASAP?!? PLEASEEE! I’ll give brainliest! <br> 1-4
liraira [26]

Answer:

35 degrees

42 degrees

x = 8 degrees

x = 7 degrees

Step-by-step explanation:

1)

m <1 = 70/2 = 35 degrees

2)

m <1 = 84/2 = 42 degrees

3)

6 + 4 x = (9 x + 4) / 2

12 + 8 x = 9 x + 4

12 - 4 = x

x = 8 degrees

4)

3 x - 1 = x + 13

2 x = 14

x = 7 degrees

6 0
3 years ago
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a
arlik [135]

Answer:

1

Step-by-step explanation:

8 0
4 years ago
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