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Lena [83]
3 years ago
12

A square picture frame measures 36 inches on each side. The actual wood trim is 2 inches wide. The photograph in the frame is su

rrounded by a bronze mat that measures 5 inches. What is the maximum area of the photograph

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
7 0
(36-2-5)^{2}=\\(29)^{2}=\\841

841 inches^2.
OverLord2011 [107]3 years ago
7 0
We need to figure out how much of the total area of the picture frame is usable. To do this, we need to figure out what is taken up by the frame and the mat.

The frame is 36 inches on a side.
We know the frame is 2 inches. We know that the the mat is 5 inches.

This means that on each 36 inch side, 4 inches are taken up by the frame (2 each side) and 10 inches by the mat (again, 5 each side). So the total length left is
36 - 4 - 10 = 32 - 10 = 22.

The maximum area of the photograph is therefore 22 x 22 = 484 square inches.

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Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t
NISA [10]

Answer:

Class second have higher score and have greater spread.

Step-by-step explanation:

For first box plot

\text{Minimum value }= 53

Q_1=62

Median=80

Q_3=86

\text{Maximum value }= 89

Range=Maximum-Minimum=89-53=36

IQR=Q_3-Q-1=86-62=24

For second box plot

\text{Minimum value }= 56

Q_1=62

Median=74

Q_3=89

\text{Maximum value }= 96

Range=Maximum-Minimum=96-56=40

IQR=Q_3-Q-1=89-62=27

First class has greater minimum value, it means first class has lower grades.

First quartile of both classes are same, it means equal number students in both classes have less than 62 marks.

First class has greater median.

second class has greater third quartile.

Second class has greater Maximum value.  It means second class have higher score than first class.

Second class has greater range. It means the data of second class has greater spread.

Second class has greater inter quartile range.  It means the data of second class has greater spread.

Therefore, the class second have higher score and have greater spread.

5 0
4 years ago
A shape is shown on the graph: A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma
soldi70 [24.7K]
What are the given answers?

6 0
3 years ago
To make 5 pizzas, 1/2 cup of flour is used a. How much flour is needed to make one pizza? b.. How many cups of flour are needed
pogonyaev

Answer:

for a single pizza 1/10 a cup

for 12 pizzas 1 1/5 a cup

you can make 56 pizzas with 5 2/3 cups.

Step-by-step explanation:

for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10

for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5

Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10

56/10÷1/10= 56 pizzas

8 0
4 years ago
What’s the simplified form of -3+7–3r–12
VashaNatasha [74]

Answer:

-3r-8

Step-by-step explanation:

5 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Gre4nikov [31]

Answer:

93° (to the nearest degree)

Step-by-step explanation:

sum of the interior angles of a triangle = 180°

Find angle C first, then subtract angle C and angle B from 180° to find angle A.

Use the sine rule \frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c} to find angle C:

Therefore,

              \frac{sinB}{b}=\frac{sinC}{c}

              \frac{sin38}{9}=\frac{sinC}{11}

         angle C = 48.80523914...°

Angle A = 180 - 38 - 48.80523914...°

              = 93.19476086..°

              = 93° (to the nearest degree)

7 0
2 years ago
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