All categories

2 years ago

There is a pair of parallel sides in the following shape. What is the area of the shape?

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

Answer:

The given shape is Trapezium

Area of Trapezium= 1/2h(L1+L2)

=1/2×7×(11+3

=1/2×7×14

=49

Your answer is 49

You might be interested in

A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point

denis-greek [22]

Answer:

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(-7, -1) and (8, 7)

substitute

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{289}$

$r=17\ units$

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

substitute the values

$(x+7)^2+(y+1)^2=17^2$

$(x+7)^2+(y+1)^2=289$

Substitute the value of x=-15 in the equation

$(-15+7)^2+(y+1)^2=289$

$64+(y+1)^2=289$

$(y+1)^2=289-64$

$(y+1)^2=225$

square root both sides

$(y+1)=(+/-)15$

$y=-1(+/-)15$

$y=-1(+)15=14$

$y=-1(-)15=-16$

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

8 0

3 years ago

Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)

larisa [96]

Since an arithmetic sequence is a sequence of numbers and the difference of any two successive members of the sequence is a constant

So this question is arithmetic because it keep minus by 7

from 19 - 7 = 12

12 - 7 = 5

5 - 7 = -2

so common difference is -7

or you can check with arithmetic formular as

$a_{n}$ = $a_{1}$ + (n−1)d

I will just put in the 4th term which is -2 and n will equal to 4

and $a_{1}$ is the 1st term which is 19

-2 = 19 + (4−1)d

-2 - 19 = 3d

d = $\frac{-21}{3}$

d = -7

7 0

3 years ago

At Rosedale Middle School, 11.25% of the

LUCKY_DIMON [66]

Answer:

162

Step-by-step explanation:

8 0

3 years ago

Item 1

omeli [17]

Answer:

-2(x)>30

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

x<-15

Step-by-step explanation:

-2(x)>30 means to divide -2 on both sides which is -15.

x>-15

Next you switch the inequality because you multiplied by a negative:

x<-15

6 0

3 years ago

Through: (1,5), slope = 3

Svet_ta [14]

Answer:

The answer is y=3x+2

Step-by-step explanation:

y-y=m(x-x¹)

y-5=3(x-1)

y-5=3x-3

+5 +5

y=3x+2

4 0

3 years ago