All categories

3 years ago

10. Find the area of the shaded region.

Mathematics

1 answer:

Semenov [28]3 years ago

8 0

Answer:

Area = 114

Step-by-step explanation:

We first must find the area of the larger outside rectangle.

Area = length × width

15 × 8 = 120

Then we find the area of the smaller inside rectangle.

4 × 1.5 = 6

Since the small rectangle is not shaded we have to subtract its area from the larger shaded rectangle's area.

120 - 6 = 114

You might be interested in

In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$

8 0

3 years ago

In ΔEFG, the measure of ∠G=90°, EF = 95 feet, and FG = 26 feet. Find the measure of ∠F to the nearest degree.

Firdavs [7]

Answer:

74.4°

Step-by-step explanation:

Given

∠G=90° => ΔEFG is a right triangle
EF = 95 feet
FG = 26 feet

Use sine law to find ∠F

As we know:

Sin(GEF)/ GF = Sin(EGF)/EF

<=> Sin(GEF) / 26 = Sin(90)/95

<=>Sin(GEF) / 26 = 1/95

<=> Sin(GEF) = 26/95

<=> ∠GEF ≈ 15.8°

=> ∠F = 180° - ∠G - ∠GEF

∠F = 180° - 90° - 15.8° = 74.4°

3 0

3 years ago

Read 2 more answers

Lorraine writes the equation shown. x squared + y minus 15 = 0 She wants to describe the equation using the term relation and th

Colt1911 [192]

Answer:

x=2 y=11

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

8 1/4 pounds of carrots to make 6 carrot cakes. how many pounds of carrots does frank need to make one carrot cake.

jasenka [17]

The answer would be 1.4

6 0

3 years ago

If 5x-26=x+50, then the value of x is

horsena [70]

Let's work this problem out!

First: 5(x) - 26 - x + 50 = ?

Second: 4(x) - 76 = ?

Third: 4 = ?
↑
(Solve Step 3)

Fourth: x - 19 = 0
↑
(Add the number 19 to each of your sides for Step 4)

Finally we get to your answer

19 + 0 = 19 ; 19 - 19 = 0

So, therefore the value of "x" is 19

$x = 19$

3 0

3 years ago