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2 years ago

The total cost, including shipping, for ordering five uniforms is $66. The total cost,

Mathematics

2 answers:

ale4655 [162]2 years ago

6 0

Answer: Answer in the image! And ignore the ad.

Artist 52 [7]2 years ago

3 0

Answer: Positive with a magnitude of 12 and the total cost is taken on its y axis and number of uniforms are ordered are taken on the x axis

Step-by-step explanation:

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Find the remainder of (h4 + h2 – 2) ÷ (h + 3).

dem82 [27]

We can solve the problem by two methods: Synthetic division and long division.

Synthetic division:
-3 | 1 0 1 0 -2
-3 9 -30 90
---------------------------
1 -3 10 -30 88
The remainder is 88.

By long division:
h^3 -3h^2 + 10h -30
---------------------------------------
x + 3 | h^4 + 0h^3 + h^2 + 0h -2
h^4 + 3h^3
----------------
-3h^3 + h^2 + 0h -2
-3h^3 -9h^2
-------------------------------
10h^2 + 0h -2
10h^2 +30h
-----------------------
-30h - 2
-30h -90
--------------
88
The remainder is 88

5 0

4 years ago

In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?

GalinKa [24]

Answer:

$XY = 4.9$

Step-by-step explanation:

$\angle Y = 45^\circ$

$\angle Z = 60^\circ$

$XZ = 4$

Required

Determine the length of XY?

This question is supported with the attachment.

To solve for the length of XY, we make use of the sine law which states:

$\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}$

In this case:

$\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}$

Substitute in, the following values:

$\angle Y = 45^\circ$

$\angle Z = 60^\circ$

$XZ = 4$

The expression becomes:

$\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}$

Cross multiply

$XY * \sin\ 45 = 4 * \sin\ 60$

Make XY the subject

$\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}$

$XY = \frac{4 * \sin\ 60}{\sin\ 45}$

$XY = \frac{4 * 0.8660}{0.7071}$

$XY = \frac{3.4640}{0.7071}$

$XY = 4.89888276057$

$XY = 4.9$ --- approximated

5 0

3 years ago

Read 2 more answers

Most precise to least precise; pints quarts cups and gallon

aliina [53]

Cups,pints,quarts,gallons

4 0

3 years ago

Read 2 more answers

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\\\\\\
\cfrac{3x^2-6x-6x^2-12x}{(x-5)(x+2)(x-2)}\implies \cfrac{-3x^2-18x}{(x-5)(x+2)(x-2)}$

4 0

3 years ago

In how many arrangements can 3 boys and 4 girls stand in a row such that no two boys are together?

Sophie [7]

Answer: 1440

Step-by-step explanation:

To arrange 3 boys and 4 girls such that no two boys are together.

Since boys should be arranged between the girls.

So first arrange the girls.

Assume that the girls are placed, then there will be 5 spaces left for 3 boys.

The number of combinations to fill these places = $^5C_3=\dfrac{5!}{3!2!}=\dfrac{5\times4}{2}=10$

Also, 3 boys can arrange themselves in 3! =3 x 2 x 1 = 6 ways

4 girls can arrange themselves in 4! = 4x 3 x 2 x 1 = 24 ways

Then, the total number of arrangements = 10 x 6 x 24 = 1440

Hence, the required number of arrangements = 1440

5 0

3 years ago