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4 years ago

Thethree sides of a triangle measure 810 and 12 units is this a right angle?

Mathematics

1 answer:

Alja [10]4 years ago

4 0

Answer:

The given triangle is NOT A RIGHT ANGLED TRIANGLE.

Step-by-step explanation:

Here, the three given sides of the triangle are:

8 units, 10 units and 12 units

Now, for any triangle to be a right angle:

by the PYTHAGORAS THEOREM:

$(Base)^2 + (Perpendicular)^2 = (Hypotenuse)^2$

The longest of all sides id the hypotenuse.

⇒ H = 12 units

Let us assume, B = 8 units, P = 10 units

Now, here checking the condition:

$(8)^2 + (10)^2 = 64 + 100 = 164 \neq (12)^2 = 144\\\implies (B)^2 + (P)^2 \neq (H)^2$

Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.

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Solve for [x]. The pair of polygons are similar. The scale factor from A to B is 9:10

brilliants [131]

Answer:

Step-by-step explanation:

if scale factor is 3/5, then

(x+12):35=3:5, ⇒

6 0

3 years ago

Stats To quality for a police academy, applicants are given a lest of physical Itness. Ihe scores are normallyDistributed with a

omeli [17]

Since we want just the top 20% applicants and the data is normally distributed, we can use a z-score table to check the z-score that gives this percentage.

The z-score table usually shows the percentage for the values below a certain z-score, but since the whole distribution accounts to 100%, we can do the following.

We want a z* such that:

$P(z>z^*)=0.20$

But, to use a value that is in a z-score table, we do the following:

$\begin{gathered} P(zz^*)=1 \\ P(zz^*)=1-0.20=0.80 \end{gathered}$

So, we want a z-score that give a percentage of 80% for the value below it.

Using the z-score table or a z-score calculator, we can see that:

$\begin{gathered} P(zNow that we have the z-score cutoff, we can convert it to the score cutoff by using:[tex]z=\frac{x-\mu}{\sigma}\Longrightarrow x=z\sigma+\mu$

Where z is the z-score we have, μ is the mean and σ is the standard deviation, so:

$\begin{gathered} x=0.8416\cdot9+64 \\ x=7.5744.64 \\ x=71.5744\cong72 \end{gathered}$

so, the cutoff score is approximately 72.

6 0

1 year ago

A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =

ludmilkaskok [199]

Answer:

$t = 0.375s$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 4t + 33$ --- driver 1

$Rate = 2ft/s$ -- driver 2

$height = 33ft$

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

$Rate = 2ft/s$ and $height = 33ft$

So, the function is:

$h_2(t) = Height - Rate * t$

$h_2(t) = 33 - 2t$

The time they drive pass each other is calculated as:

$h(t) = h_2(t)$

$-16t^2 + 4t + 33= 33 - 2t$

Collect like terms

$-16t^2 + 4t + 2t= 33 - 33$

$-16t^2 + 6t= 0$

Divide through by 2t

$-8t + 3= 0$

Solve for -8t

$-8t = -3$

Solve for t

$t = \frac{-3}{-8}$

$t = 0.375s$

7 0

3 years ago

2(x+y) = 61-2y<br> 4x-4 = 18-3y

Naddik [55]

Answer:

x = 8

y = -7

Step-by-step explanation:

This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively

4 0

3 years ago

A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games won?

Anna007 [38]

Answer:

18.1818181818%

Step-by-step explanation:

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3 years ago