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2 years ago

Does anyone want to HELP me please

Mathematics

2 answers:

Margarita [4]2 years ago

5 0

Answer:

so the 2 sides are 13 and 5 so x would equal 13squared + 5squared= x squared

Step-by-step explanation:

Kipish [7]2 years ago

5 0

Answer:

x = 12

Step-by-step explanation:

We will be using pythagoras theorem.

Therefore, we will have: $a^{2}$ + $x^{2}$ = $13^{2}$

Moreover, we have: $a^{2}$ = $4^{2} + 3^{2}$ => $a^{2}$ = 25

=> 25 + $x^{2}$ = 169

=> $x^{2}$ = 144 => x = $\sqrt{144}$ = 12

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A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i

brilliants [131]

Answer:

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 inches

Standard Deviation, σ = 2.2 inches

We are given that the distribution of diameter of tree is a mound shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(diameters between 7.6 and 18.6 inches)

$P(7.6 \leq x \leq 18.6) = P(\displaystyle\frac{7.6 - 12}{2.2} \leq z \leq \displaystyle\frac{18.6-12}{2.2}) = P(-2 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -2)\\= 0.999 - 0.023 = 0.976= 97.6\%$

$P(7.6 \leq x \leq 18.6) = 97.6\%$

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

8 0

2 years ago

Lianne charged twice as much to walk a large dog than she did to walk a small dog. This week she had time to was 10 small dogs a

guapka [62]

Well she charged twice as much to walk large then small. Let s be small and l be large.
We we know that
l = 2s

we also know that she wants to make 100 so
xl + ys = 100

Where where x is number of large and y is number of small. it says she walked 10 small and 5 large so
5l + 10s = 100

substitute 2s for l because they are same value as shown in first equation I made
5 (2s) + 10s = 100
10s + 10s = 100
20s = 100
s = 5

we can now solve for l
l = 2s
l = 2 * 5
l = 10

So s is 5 and l is 10.

4 0

3 years ago

A circle is centered at the point (5,-4) & passes through the point (-3,2).

maxonik [38]

Equation of the circle:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

The equation of a circle is given by

$(x-x_0)^2+(y-y_0)^2=r^2$

where

$(x_0,y_0)$ are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

$r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10$