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Daniel [21]
3 years ago
12

Please help me, it’s a math question

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

Step-by-step explanation:

Triangle PQR is given to be a right triangle, so the Pythagorean Theorem can be used to determine that PQ is the hypotenuse.

It is given that x^2 + y^2 =z^2 in triangle ABC, so AB = PQ.

The information shows that the triangles are congruent because their three sides are congruent. Therefore, to show that triangle ABC is a right triangle, we can use corresponding parts of the congruent triangles to show that BCA is a right angle.

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factors of 212 like finding a common factor its really hard because the number is so high please please HELP ME!!!!!!!
lesya692 [45]
<span>1,2,4,53,106,212

-----------------------

</span>
6 0
3 years ago
Draw a figure to fit each description.
antiseptic1488 [7]
1)
a) Draw the axis:x-axis is horizontal, y-axis is vertical
b) draw a point on any part of the plane (use color to highlight it)
c) draw a second point on a different part of the plane (again use color)
d) draw the straight line that passes through the two points (use a ruler).

That is it.

2)
a) Draw the axis: x-axis is horizontal and y-axis is vertical
b) Draw a stright line (use a ruler)
c) Draw a second straight line (use a ruler) which is not parallel to the first line. Extend the second line intil it intersects (and passes) the first line. The lines can only intersect in one point (if the lines are parallel they will not intersect each other).

6 0
3 years ago
The length of a rectangle is one foot more than twice its width if the area of the rectangle is 300 ft^2 find the dimensions of
umka21 [38]
Let's say the length is L, and the width is W
L is one foot more than 2W, so L=1+2W
the area of the rectangle: A=L*W=300
replace L with 1+2W: (1+2W)*W=300 =>2W^2+W-300=0
solve the quadratic equation: (W-12)(2W+25)=0
W=12 or W=-12.5 (impossible)
so the width is 12, and the length is L=1+2*12=25

please refer to this website for how to factor a quadratic equation
http://www.purplemath.com/modules/factquad.htm

7 0
3 years ago
Read 2 more answers
To repair a roof that is 12 feet high, Mr. Callahan leans a 13-foot ladder against the side of the building. To reach the roof,
Varvara68 [4.7K]

Answer:

5 feet away

Step-by-step explanation:

It is a Pythagorean Triple.

The hypotenuse is 13 feet and one of the sides is 12 feet. To find the length of the base, use the Pythagorean Theorem.

13^2=12^2+c^2

169=144+c^2

c^=25

c=5

8 0
3 years ago
Read 2 more answers
The failure of a circuit board interrupts work that utilizes a computing system until a new board is delivered. The delivery tim
Hatshy [7]

Answer:

The expected cost is 152

Step-by-step explanation:

Recall that since Y is uniformly distributed over the interval [1,5] we have the following probability density function for Y

f_Y(y ) = \frac{1}{5-1} = \frac{1}{4} if 1\leq y \leq 5 and 0 othewise. (To check this is the pdf, check the definition of an uniform random variable)

Recall that, by definition  

E(Y^k) = \int_{-\infty}^{\infty} y^kf_Y(y)dy

Also, we are given that C = 50+3Y+9Y^2. Recall the following properties of the expected value. If X,Y are random variables, then

E(a+bX+cY) = a+bE(X)+cE(Y)

Then, using this property we have that E[C] = 50+3E[Y]+ 9E[Y^2].

Thus, we must calculate E[Y] and E[Y^2].

Using the definition, we get that

E[Y] = \int_{1}^{5}\frac{y}{4} dy =\frac{1}{4}\left\frac{y^2}{2}\right|_{1}^{5} = \frac{25}{8}-\frac{1}{8} = 3

E[Y^2] = \int_{1}^{5}\frac{y^2}{4} dy =\frac{1}{4}\left\frac{y^3}{3}\right|_{1}^{5} = \frac{125}{12}-\frac{1}{12} = \frac{31}{3}

Then

E(C) = 50 + 3\cdot 3 + 9 \cdot \frac{31}{3} = 152

5 0
3 years ago
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