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Inga [223]
2 years ago
9

An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create

the kite.
A kite with two top triangles with height of 7 inches and a base 9.5 inches. The bottom two triangles share the base but have a height labeled 12 inches.

Mathematics
2 answers:
horrorfan [7]2 years ago
5 0
Hi there!

The formula for the area of a kite is A = 1/2(d1 * d2). The diagonals on your kite are 20 inches and 19 inches. Let's plug those numbers into the formula: A = 1/2(20*19). First, multiply inside of the parenthesis: A = 1/2(380). Lastly, divide 380 by 2: A = 190in^2.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
avanturin [10]2 years ago
4 0

Answer:

180.5

Step-by-step explanation:

The area will be the sum of all triangles' areas.

Triangle area = \frac{b*h}{2}

A1 = \frac{9.5*7}{2}= 33.25

the other top triangle has the same area so A1+A2 = 33.25*2 = 66.5.

A3 =  \frac{9.5*12}{2}= 57

the other bottom triangle has the same area so A3+A4 = 57*2 = 114.

Then, the area is A1+A2+A3+A4 = 66.5+114 = 180.5

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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
Several students measured a 25mm long nail and wrote the measurements shown in the table below. Whose measurement had the greate
Ksivusya [100]
Tenicia (she was the most off)
3 0
2 years ago
(3/5)^2+4X3-2 what is the value of the expression
Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

(\frac{3}{5})^{2} + 4 \times 3 - 2

=(\frac{3}{5})^{2} + 4 \times 3 - 2

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

=12.36 - 2

=10.36

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

=(\frac{3}{5})^{2} + 4 \times 3 - 2\\

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

Next we do the addition/subtraction. Again, whichever comes first.

=12.36 - 2

=10.36

7 0
3 years ago
if 2 out of the 5 registered voters will cast a ballot in an election and there are 450,000 registered voters,how many people wi
weqwewe [10]

Answer:

180,000 people

Step-by-step explanation:

2/5= 0.4

0.4x450,000=180,000

8 0
3 years ago
Read 2 more answers
A coin is tossed 5 times and a tail is the outcome each time. what is the probability of getting a tail on the sixth throw
Norma-Jean [14]
I believe it would be
1/5
5 0
3 years ago
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