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sesenic [268]
3 years ago
13

Write an equation relating the length of the legs of an isosceles​ triangle, x, to the length of the hypotenuse of the​ triangle

, h. g
Mathematics
1 answer:
prohojiy [21]3 years ago
5 0
Pythagorean TheoremIn a right triangle, the sum of the squares of the legs equals the square of the hypotenuse."Special Triangles"<span>3-4-5
5-12-13
7-24-25
8-15-17</span>Converse of the Pythagorean ConjectureIf the lengths of a triangle satisfy the Pythagorean Theorem, then the triangle is a right triangle.Isosceles Right Triangle ConjectureIn an isosceles right triangle, if the legs have length x, then the hypotenuse has length x-root-2.30-60-90 Triangle ConjectureIn a 30-60-90 triangle, if the shorter leg has length x, then the longer leg has length x-root-3 and the hypotenuse has length 2x.Rationalizing the DenominatorEquation for a Circlea squared + b squared is less than c squaredObtuse trianglea squared + b squared is greater than c squaredAcute triangle
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Graph the solution of 2 ≥ 4 - v
vazorg [7]

Good evening ,

Answer:

2 ≤ v

Look at the photo below for the graph.

Step-by-step explanation:

2 ≥ 4 - v

2 - 4 ≥ - v

-2 ≥ -v

2 ≤ v.

:)

6 0
3 years ago
Zoe and Hannah share tips in the ratio 3:7
vlabodo [156]

Answer:

3/7=€24/? 24*7/3? Therefore Hannah received €56 as tip.

Step-by-step explanation:

5 0
3 years ago
If u rotate an object around a given point what information will you need?
Anuta_ua [19.1K]

Answer:

A point (a, b) rotated around a point (x, y) 180 degrees will transform to point (-(a - x) + x, -(b - y) + y). A point (a, b) rotated around the origin 270 degrees will transform to point (b - y + x, -(a - x) + y).

Step-by-step explanation:

5 0
2 years ago
3. March deposited money into an account in which interest is compounded quarterly at a rate of 3.3%. How much did he deposit if
aksik [14]

Answer:

$4125.

Step-by-step explanation:

When solving for the principal we still need to use the formula A = P(1+\dfrac{r}{n})^{nt}.

Let's take all the variables that we do have available and list them out.

A = $4369.20

r = 3.3% or 0.033

n = 4 (Quarterly)

t = 21 months or 1.75 years

Now we can substitute the values and solve for the principal.

A=P(1+\dfrac{r}{n})^{nt}

4369.20=P(1+\dfrac{0.033}{4})^{4(1.75)}

4369.20=P(1+0.00825)^{7}

4369.20=P(1.00825)^{7}

4369.20=P(1.05919912849)

Now we need to divide both sides with 1.05919912849  to get the principal.

\dfrac{4369.20}{1.05919912849}=\dfrac{P(1.05919912849)}{1.05919912849}

P = 4125.00339406 or $4125.

To check for our answer, we can simply substitute the values including the principal and excluding the total.

A=P(1+\dfrac{r}{n})^{nt}

A=4125(1+\dfrac{0.033}{4})^{4(1.75)}

A=4125(1+0.00825)^{7}

A=4125(1.00825)^{7}

A=4125(1.05919912849)

A=4369.19640502 or 4369.20

5 0
3 years ago
A shipping container shaped like a rectangular prism must have a maximum volume of 10 cubic yards. If the container is 2 1/2 yar
denpristay [2]

Answer:

1\frac{1}{7} yards

Step-by-step explanation:

The maximum volume the shipping container can have is 10 cubic yards.

The volume of a rectangular prism is given as:

V = L * W * H

where L is length, W is width and H is height.

To find the maximum height of the container, make H the subject of formula:

H = \frac{V}{L * W}

We have been given the length and width of the container as 2 1/2 yards and 3 1/2 yards respectively.

Hence, the maximum height is:

H = \frac{10}{2\frac{1}{2} * 3\frac{1}{2} } \\\\H = \frac{10}{\frac{5}{2} * \frac{7}{2} }

H = \frac{10}{\frac{35}{4} } \\\\H = \frac{10 * 4}{35} \\\\H = \frac{40}{35} = \frac{8}{7} = 1\frac{1}{7}

The maximum height of the container is 1\frac{1}{7} yards.

7 0
3 years ago
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