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2 years ago

2. A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What

Mathematics

1 answer:

Zarrin [17]2 years ago

0 0

Answer:

45 square centimeters

Step-by-step explanation:

The area of the triangle is given by ...

A = (1/2)bh

where b is the base, 2 cm + 3 cm = 5 cm, and h is the height, 6 cm.

A = (1/2)(5 cm)(6 cm) = 15 cm^2

The area of the rectangle is given by ...

A = bh

where b is the base, 12 cm, and h is the height, 2.5 cm.

A = (12 cm)(2.5 cm) = 30 cm^2

The area of the whole figure is the area of the triangle added to the area of the rectangle:

drawing area = 15 cm^2 + 30 cm^2 = 45 cm^2

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When is a relation also a function

Gnoma [55]

Determining whether a relation is a function involves making sure that for every input there is only one output. In order for a relation to be called a function, each X value must have exactly one Y value. X has to have exactly one Y value.

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2 years ago

The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized in order to have

igomit [66]

Answer:

The margin of error is $MOE = 9.68$

Step-by-step explanation:

From the question we are told that

The sample size is $n= 16$

The standard deviation is $\sigma = 15$

The confidence level is $C = 99$ %

Generally the level of significance is mathematically evaluated as

$\alpha = 100 - C$

$\alpha = 100 - 99$

$\alpha = 1%$ %

$\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

The reason obtaining the critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because we are considering the two tails of the area normal distribution curve which is not inside the 99% confidence interval

Now the margin of error is evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 2.58 * \frac{15}{\sqrt{16} }$

$MOE = 9.68$

8 0

2 years ago

List the sides of each triangle in order from shortest to longest

love history [14]

1: for number 1 the answers are in this order.
R=43
P=55
Q=82

2: In this order
MN-7
NS-5
SM-9

Only number 1 &2 I understood. Number 44 & 3 was hard but I tried. hope this help a little

8 0

2 years ago

Read 2 more answers

Jack ran a distance represented by the expression 3x + 7. Jill ran a distance represented by the expression 9x + 21. Which descr

RUDIKE [14]

Answer:3(3x+7) -22 I'm pretty sure it's is 9x-1

Step-by-step explanation:

7 0

2 years ago

The sum of two angles is 180 If the angle is three times the measure the smaller ,find the number of degrees in the larger angle

olasank [31]

45 because you can set up the equation:

a+3a=180

With a being the smaller angle, then you can simplify and solve

4a=180
a=45