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3 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics

2 answers:

malfutka [58]3 years ago

5 0

Solve for hypotenuse

Hypotenuse = $\sqrt{a^{2}+b^{2}}$

Substitute 3 for A and 4 for B
$\sqrt{3^{2}+4^{2}}$

Solve exponents
3^2 = 9
4^2 = 16
$\sqrt{9+16}$

Add
9 + 16 = 25
$\sqrt{25}$

Solve square root
$\sqrt{25}$ = 5
5 is your answer

Lemur [1.5K]3 years ago

4 0

Answer:

Q1 5

Q2 6

Q3 C(no;13^2+21^2=24^2)

Q4 obtuse

Q5 C (8 2 squared)

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What is 14.62 to the nearest whole number

alexandr1967 [171]

Because the decimal is over 40 the answer is 15

6 0

3 years ago

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Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi

maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is $x=\frac{-31+29}{2}=-1$

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is $y=\frac{8+-10}{2}=-1$

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed $\frac{2}{3}$ of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is $x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11$

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is $x=\frac{(8)(1)+(-1)(2)}{2+1}=2$

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0

3 years ago

Compare Look at these equations. Do you think they are all linear equations? Can they

Georgia [21]

Answer:

Yes they can all be written in y = mx + b. You just have to move the terms around.

Step-by-step explanation:

y = 2x -3, this is already in slope-intercept form

Now, y - 2 = x + 2: We can add 2 on both sides to cancel out the one on the left side:

y - 2 = x + 2

y - 2 + 2 = x + + 2

y = x + 4 <-- This is in y = mx + b form

Now the last one, 3x = 9 + 3y

We can first divide all terms by 3,

3x = 9 + 3y

/3 /3 /3

x = 3 + y: Then we can subtract 3 from both sides:

x - 3 = 3 + y - 3

x - 3 = y

These are all linear equations because none of the x's have bigger powers than 1. x^2 is a quadratic equation and x^3 is cubic equation.

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2 years ago

What is 612.0÷0.06<br><br>please help me

erik [133]

Answer:

10,200

Step-by-step explanation:

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2 years ago

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2. Three bells P, Q and R ring at intervals of 40, 48and 60 minutes respectively. If they ring together at 6.15 a.m. when will t

MAXImum [283]

They will ring again together at 10:15am. Because the common factor for 40, 48 and 60 is 240, which means 240 minutes, that equals to 4 hours. Hence 4 hours after 6.15am is 10.15am.

Hope this helps.

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3 years ago