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3 years ago

A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?

Mathematics

2 answers:

IRISSAK [1]3 years ago

6 0

A = 32.5 ft^2 (square feet)

andreev551 [17]3 years ago

4 0

Answer:A = 32.5

Step-by-step explanation:

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Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and 2 1/

guapka [62]

Answer:

$14.43¢

Step-by-step explanation:

We are given; $1\frac{2}{5}$ pounds, 1 pound = $4.20 and $2\frac{1}{4}$ pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert $1\frac{2}{5}$ to a decimal. It is 1.4. Now we can set up a graph.

Avocados

$\frac{4.2}{1}=\frac{x}{1.4}$

Switch sides

$\frac{x}{1.4}=\frac{4.2}{1}$

Apply rule: $\frac{a}{1}=a$

$\frac{x}{1.4}=4.2$

Multiply both sides by 1.4

$\frac{1.4x}{1.4}=4.2\cdot \:1.4$

Simplify

$x=5.88$

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert $2\frac{1}{4}$ to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

$\frac{3.8}{1}=\frac{x}{2.25}$

Switch sides

$\frac{x}{2.25}=\frac{3.8}{1}$

Apply rule : $\frac{a}{1}=a$

$\frac{x}{2.25}=3.8$

Multiply both sides by 2.25

$\frac{2.25x}{2.25}=3.8\cdot \:2.25$

Simplify

$x=8.55$

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

8 0

3 years ago

What is the next term in this arithmetic sequence? 11, 8, 5, 2,... 0-3 06 05

satela [25.4K]

Answer: the next term is -1

7 0

3 years ago

A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a

Jet001 [13]

Answer:

The answer is below

Step-by-step explanation:

From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75

The confidence level (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.

The margin of error (E) is given as:

$E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.645*\frac{518.75}{\sqrt{14} } =228.07$

The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)

The confidence interval is between 1162.68 and 1618.82.

7 0

3 years ago

7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether

kirill [66]

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN, NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

4 0

2 years ago

A local hamburger shop sold a combined total of 436 hamburgers and cheeseburgers on Wednesday. There were 64 fewer cheeseburgers

jasenka [17]

436 hamburgers and cheeseburgers sold Wednesday.
64 fewer cheeseburgers.

436/2= 218
218-64= 154

154 cheeseburgers were sold Wednesday.

7 0

2 years ago