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1 year ago

What is length of X and length of Y

Mathematics

1 answer:

luda_lava [24]1 year ago

4 0

Answer:

It is a right angled triangle.

tan32 = p/b

or, tan32 = x/5

or, tan32×5 = x

so, x = 3.124

for 5 no. the answer is a. 3.124

For y,

cos32 = b/h

or, cos32 = 5/y

or, y = 5/cos32

so, y = 5.895

for 6 no. 5.895 is closest to 5.994, so the answer is c. 5.994.

You might be interested in

Translate the point (5,2)—> 3 units to the left

VladimirAG [237]

Given:

The point (5,-2) is translated 3 units to the left.

To find:

The new location of the point.

Solution:

If a point is translated 3 units to the left, then

$(x,y)\to (x-3,y)$

Using this rule of translation, we get

$(5,-2)\to (5-3,-2)$

$(5,-2)\to (2,-2)$

Therefore, the new location of the point is (2,-2). Hence, the correct option is C.

7 0

2 years ago

A teacher with 10 students has 30 lesson times available. She will teach exactly one of her students during each lesson time. Ho

natka813 [3]

There are $\frac{30!}{(3!)^{10} }$ ways for the teacher to decide which student she will teach during each lesson time if she must teach each student exactly 3 times. Here, "!" represents the factorial.

A number's factorial is the result of multiplying the integer by each natural number below it. Factorial can be symbolized by the letter "!". Thus, n factorial is denoted by n! and is the result of the first n natural numbers.

A whole number's "n" factororial is the sum of that number and each whole number up to one.

When a question asks you to determine how many different ways you can arrange or order a given number of items, you use a factorial.

Learn more about factorials here:

brainly.com/question/25997932

#SPJ1

5 0

1 year ago

7. y-2 = (x+3) 4 2 X - TO 12 4

drek231 [11]

Answer:

y = -24 + -2x + 2x2

Step-by-step explanation:

Simplifying:

y = 2(x + 3)(x + -4)

reorder the terms:

y = 2(3 + x)(x + -4)

multiply (3 + x) * (-4 + x)

y = 2(3(-4 + x) + x(-4 + x))

y = 2((-4 * 3 + x * 3) + x(-4 + x))

y = 2((-12 + 3x) + x(-4 + x))

y = 2(-12 + 3x + (-4 * x + x * x))

y = 2(-12 + 3x + (-4x + x2))

Combine like terms 3x + -4x = -1x

y = 2(-12 + -1x + x2)

y = (-12 * 2 + -1x * 2 + x2 * 2)

y = (-24 + -2x + 2x2)

Solving:

y = -24 + -2x + 2x2

solving for variable 'y'

Move all terms containing y to the left, all other terms to the right.

Simplifying:

y = -24 + -2x + 2x2

8 0

2 years ago

Please help!! | show work and do not guess. :)

Olegator [25]

The answer would be b A≈1636.8

8 0

3 years ago

a painter bought 8 gallons of paint just enough to cover 2 rooms. One room is twice the size of the other and requires only 2 co

e-lub [12.9K]

So, he's got 8 gallons of paint, to paint the two rooms, of the two rooms, one is twice as big as the other

now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
now, the client declined to paint the smaller one

so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x

then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one

so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons

thus, with those assumptions, that the small room will use only 1 coat
$\bf \cfrac{1}{2}x+2x=8\implies \cfrac{5x}{2}=8\implies x=\cfrac{16}{5}$
that's who many gallons are needed for 1 coat in the larger roomrecall "x" is 1coat for the larger room

now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then

$\bf 2x\implies 2\cdot \cfrac{16}{5}\implies \cfrac{32}{5}\implies 6.4\ gallons$

he bought 8 gallons, 8 - 6.4, he's got left 1.6 gallons

3 0

2 years ago

Read 2 more answers