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3 years ago

Find the length of JM

Mathematics

1 answer:

Flura [38]3 years ago

5 0

Answer:

JM = 30

Step-by-step explanation:

Similar trapezoids

JM/45 = 20/30

JM = 20/30 * 45

JM = 30

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How do you factor a^2 -5a+6

Rasek [7]

A²-5a+6
to factorise you find the common numbers that add to make 5 and times to make 6
soo that means it is
(a-2) (a-3)

3 0

4 years ago

Please explain in detail how you solved.

Alex17521 [72]

Step-by-step explanation:

Since this is a right triangle and we are given an angle measure that measure 45, the other angle measure also measure 45.

So this means we are dealing with a 45-45-90 triangle.

A 45-45-90 triangle legs are equal to each other and the hypotenuse measures sqr root of 2 times more than the legs.

The hypotenuse measure 2 times sqr root of 14 so divide by sqr root of 2 to find x and y.

$\frac{2 \sqrt{14} }{1} \times \frac{1}{ \sqrt{2 } } = \frac{ \sqrt{56} }{ \sqrt{2} } = \sqrt{28} = 2 \sqrt{7}$

Since x and y are equal, they both measure

$2 \sqrt{7}$

5 0

3 years ago

19. Kara's backpacki contains 4 boxes of pencils. Each box containsp pencils. Kara's backpack also contains 6 pens. Write three

vitfil [10]

Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.

1. 4p + 6

2. p+ p + p + p + 6

3. 6 + 4(p)

Each of these has four groups of p +6 represented.

5 0

3 years ago

Write an equation in slope intercept form, passes through (-1,-10), parallel to y=7

gregori [183]

The line y=7 is a horizontal line with a slope of 0.
Slope intercept form of
y=mx+b

would be
y-y1=m(x-x1)
m=0 and point of (-1,-10)
y-(-10)=0

y=-10

3 0

3 years ago

According to the article "Fatigue Testing of Condoms" (Polymer Testing, 2009: 567–571), "tests currently used for condoms are su

daser333 [38]

Answer:

99% Confidence interval: (1196,1973)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 20

Mean, μ = 1584

Standard Deviation, σ = 607

99% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.01} = \pm 2.86$

$1584 \pm 2.86(\dfrac{607}{\sqrt{20}} )\\\\ = 1584 \pm 388.18\\ = (1195.82 ,1972.18)\\ \approx (1196,1973)$

Thus, there is a 99% chance that it will break in approximately 1196 to 1972

6 0

3 years ago