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dimaraw [331]
3 years ago
9

Can someone please help my with my work.

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

X+0.375=y

Step-by-step explanation:

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Find the volume of the figure.<br> A) 33 in^3 <br> B) 150 in^3 <br> C) 233 in^3 <br> D) 425 in^3
Nikolay [14]
5x5x5=125
12x3=36
36x3=108
108+125=233
233in^3 is the answer
8 0
3 years ago
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Factor the expression using GFC/Greatest common factor. <br><br> 48y + 40x
madreJ [45]
48y + 40x factored is 8(6y+5x)
5 0
2 years ago
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50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.
Nady [450]

Answer:

  • (1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

<h3>Side QR</h3>
  • m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

  • -1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

  • y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
<h3>Side RS</h3>
  • m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

  • -1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

  • y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

  • 5/2x + 1/2 = x + 4
  • 5x + 1 = -2x + 8
  • 7x = 7
  • x = 1

<u>Find y-coordinate:</u>

  • y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0
2 years ago
A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, af
forsale [732]

Answer:

98 yards

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.

The length of the park was 98 yds, before the path was built.

3 0
3 years ago
Which of the following lists the three named stars in order of increasing mass (lowest mass first)?
Helga [31]

Answer:

Option (A)

Step-by-step explanation:

The Barnard's Star is usually considered to be a red dwarf, that is approximately six light-years away from the location of earth. It is present in the Ophiuchus constellation and forms the 4th proximate star to the sun.

Altair refers to the bright shining star present in the Aquila constellation. It forms the 12th brightest star that occurs in the night sky.

Spica is one of the proximate stars to the earth and that is extremely large having a mass of almost ten times the mass of the sun.

The mass of Barnard's star is= 2.864 × 10^29 kg

The mass of the Altair is= 3.56 × 10^30 kg

The mass of the Spica= 19.89 × 10^30 kg

The arrangement of these given stars in the increasing order are as follows-

Barnard's star (minimum) < Altair star < Spica star (maximum)

Hence, the correct answer is option (A).

3 0
3 years ago
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