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6 days ago

Part A

Mathematics

2 answers:

lawyer [4K]6 days ago

8 0

Answer:

The charge is a flat rate of 20 dollars, with an additional 5 dollars for every hour worked =

20+h5

Step-by-step explanation:

Svet_ta [4.3K]6 days ago

5 0

Answer:

Step-by-step explanation:

Let x denote the fee per hour paid by the customer for the vacuum cleaner rental.

Let y signify the initial flat charge imposed by the store for the vacuum cleaner rental.

Let F represent the total cost to the customer for renting the vacuum cleaner over x hours.

The linear function F that represents the total cost for a vacuum cleaner rental would be expressed as

F(x) = x + y

<pIf the vacuum is rented for n hours, the total cost would thus change to

F(x) = nx + y

},{

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Laura is the fund-raising manager for a local charity. She is ordering caps for an upcoming charity walk. The company that makes

Zina [3917]

Let x represent the number of caps

cost per cap = $6

cost for x caps = 6x

shipping charge = $25

overall budget = $1000

We can set up the following inequality:

Because the total amount cannot exceed 1000, we have

25 + 6x ≤ 1000

6x ≤ 975

x ≤ 162.5

rounding,

x ≤ 163

This means she can purchase a maximum of 163 caps.

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10 days ago

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC

Svet_ta [4341]

We are given the triangle

△ABC, with m∠A=60° and m∠C=45°, and AB=8.

To start, we will calculate all angles and sides.

Finding angle B:

The total of all angles in a triangle equals 180.

m∠A + m∠B + m∠C = 180.

Substituting the known values,

60° + m∠B + 45° = 180.

This gives us m∠B = 75°.

Calculating BC:

Using the law of sines,

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

We can substitute in the values.

$\frac{8}{sin(45)}=\frac{BC}{sin(60)}$

$BC=\frac{8}{sin(45)} \times sin(60)$

$BC=9.798$

Finding AC:

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

Now we'll input the values.

$\frac{8}{sin(45)}=\frac{AC}{sin(75)}$

$AC=\frac{8}{sin(45)} \times sin(75)$

$AC=10.928$

Calculating Perimeter:

$p=AB+BC+AC$

We substitute values here as well.

$p=10.928+8+9.798$

$p=28.726$

Calculating Area:

Using the area formula,

$A=\frac{1}{2}AB \times AC \times sin(A)$

we can then insert values.

$A=\frac{1}{2}8 \times 10.928 \times sin(60)$

$A=37.85570$ ...............Answer

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13 days ago

Read 2 more answers

An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this

zzz [4035]

Answer:

the speed value produced by the radar equipment.

Step-by-step explanation:

In an experiment, a random variable is typically referred to as a dependent variable. In this context, the random variable pertains to the speed value produced by the radar equipment. This value is reliant on the actual speeds of the cars that go past the equipment. A higher speed results in a greater value shown by the radar. Thus, it relies entirely on the automobiles.

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5 days ago

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units

PIT_PIT [3949]

Step $1$