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Svetlanka [38]
3 years ago
7

3(4y+5) using distributive property

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

12y + 15 that's the answer

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11 Willie and two of his friends earn money mowing lawns in their neighborhood. On
ra1l [238]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
On a number line, between which two consecutive whole numbers would 78 be located?
natali 33 [55]

Answer:

C ; 7 and 8

Step-by-step explanation:

The correct question is as follows;

On a number line, between which two consecutive whole numbers would 7.8 be located?

Solution

Here, we want to know between which consecutive whole numbers will 7.8 be located .

As we know, 7.8 is a decimal, it is same as 7 + 0.8

It is greater than 7 but less than 8;

Thus it is between 7 and 8

6 0
4 years ago
Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of y
laila [671]

Answer:

4

Step-by-step explanation:

Proportionality between skein values

8:2=4:1

Proportionality between cost values

28:7=4:1

The variation(both the skein values and cost values) has the constant of 4 ie the 1st skein value × 4= the last skein value & the 1st cost value × 4=the last cost value

7 0
2 years ago
The area of a trapezoid field is 480 square m. The distance between two parallel sides is 15 m and one of the parallel sides is
Makovka662 [10]

Answer:

44m

Step-by-step explanation:

area  of a trapezoid = (a+b)* h/2

since the distance between two parallel sides is 15, that would be your height

plug everything in and you get:

480 = (20 + b) *15/2

b = 44

4 0
4 years ago
The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m
Keith_Richards [23]

Answer:

a) \left(x,y\right)=\left(4.95,-4.95\right)

b) r\angle\theta = 7\angle0.5236\,\text{radians}

Step-by-step explanation:

Polar coordinates are represented as: r\angle\theta, where 'r' is the length (or magnitude) of the line, and '\theta' is the angle measured from the positive x-axis.

in our case:

7\angle\dfrac{3\pi}{4}

to covert the polar to cartesian:

x = r\cos{\theta}

y = r\sin{\theta}

we can plug in our values:

x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}

y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}

the Cartesian coordinates are:

\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)

\left(x,y\right)=\left(4.95,-4.95\right)

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

r^2 = x^2+y^2

r^2 = (6.06)^2+(-3.5)^2

r = \sqrt{48.97} \approx 7

the angle can be found by:

\tan{\theta} = \dfrac{y}{x}

\tan{\theta} = \dfrac{3.5}{6.06}

\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}

\theta = 0.5236 \text{radians}

to convert radians to degrees:

\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ

writing in polar coordinates:

r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}

5 0
3 years ago
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