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3 years ago

5. Selina is planning to paint a large picture

Mathematics

1 answer:

Masja [62]3 years ago

7 0

Answer:

$12 square feet$

Step-by-step explanation:

Given.

The area of smaller version drawing is $8inch\times6inch=48 (inch)^{2}$

The Scale of the drawing is 2 in : 1 ft

Therefore, the area of actual picture on the wall.

$=\frac{8}{2} \times \frac{6}{2}$

$=4\times 3\\=12$

So, the area of actual picture on the wall is 12 square feet.

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Can you help me please

igor_vitrenko [27]

Answer:

Step-by-step explanation:

ΔA = 90° - 31°

= 59°

sin A = perpendicular ÷ base

sin 59° = 400 ft ÷ y

1.6643 = 400 ft ÷ y

y = 400 ÷ 1.6643

y = 240.34 ft

<h2>MARK ME AS BRAINLIST</h2>

7 0

2 years ago

Evaluate the limit assuming that limx→−5f(x)=17limx→−5f(x)=17 and limx→−5g(x)=22limx→−5g(x)=22. (use symbolic notation and fract

Gemiola [76]

In this question it is given that

$\lim_{x->-5}f(x)=17, \lim_{x->-5}g(x)=22$

And we have to find the value of the given limit

$\lim_{x->-5}(23f(x)+3g(x))$

Using properties of limit, first we separate the two functions, that is

$23\lim_{x->-5}f(x)+3\lim_{x->-5}g(x)$

Substituting the values of the given limit,

$23(17)+3(22)=457$

3 0

3 years ago

Graph the equation to solve the system. y=2x+7 1/2y=x+7/2

vlabodo [156]

Given equation is y=2x+7 and $\frac{1}{2}y=x+\frac{7}{2}$

Let's simplify the 2nd equation $\frac{1}{2}y=x+\frac{7}{2}$ before we can start graph so that calculation will be easy

$\frac{1}{2}y=x+\frac{7}{2}$

multiply both sides by 2 to cancel out fractions

$2*\frac{1}{2}y=2*x+2*\frac{7}{2}$

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.

3 0

3 years ago

Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7)

Nuetrik [128]

Slope for (x₁, y₁) and (x₂, y₂): (-3, 0) and (2, 7)

Slope: (y₂ -y₁) / (x₂ -x₁)

Slope: ( 7 - 0) / (2 - -3) = 7/(2 + 3)

<span>Slope = 7/5
</span>

4 0

2 years ago

Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7

vlabodo [156]

Answer: 17.75

Step-by-step explanation:

The interquartile range(IQR) is the 3rd quartile - the 1st quartile.

How to get quartiles:

First get the median:

3.5, 10.4, 16, 21.7, 27.7

10.4, 16, 21.7

Then find the median of the first half of data(3.5, 10.4)

(3.5+10.4)/2 = 6.95

Then find the median of the last half of data(21.7, 27.7)

(21.7+27.7)/2 = 24.7

Then to get the IQR subtract 6.95 from 24.7 to get 17.75

Hope it helps <3

5 0

3 years ago