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3 years ago

Please helppppp!!!!!!!!

Mathematics

2 answers:

tester [92]3 years ago

8 0

Answer:

A=128 cm²

Step-by-step explanation:

Hi there!

We are given a trapezoid and we want to find the area of it

The area of a trapezoid is given as $\frac{a+b}{2}h$ , where a and b are the bases and h is the height

The bases are the parallel sides

They are the sides marked as 10 cm and 22 cm in this case

The height is the distance between the bases

In this case, it is the side marked as 8 cm

We know everything needed for the area, let's just label everything to avoid any confusion

a=10

b=22

h=8

Now substitute into the formula

A= $\frac{a+b}{2}h$

A= $\frac{10+22}{2}*8$

add the numbers on the numerator together

A= $\frac{32}{2}*8$

Divide 32 by 2

A=16*8

multiply

A=128 cm²

Hope this helps!

Drupady [299]3 years ago

7 0

Answer:

128 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h

where b1 and b2 are the lengths of the bases and h is the height

A =1/2( 10+22) * 8

A = 1/2 (32)8

= 128

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Wittaler [7]

Answer:

$sec(x)$

Step-by-step explanation:

$cos(x)+cos(x)tan^2(x)$

Multiply cos(x) by 1:

$cos(x)*1+cos(x)tan^2(x)$

Factor out cos(x):

$cos(x)(tan^2(x)+1)$

Apply the pythagorean identity ( $tan^2(x)+1=sec^2(x)$ ):

$cos(x)sec^2(x)$

Rewrite $sec^2(x)$ :

$cos(x)(\frac{1}{cos(x)})^2 \\cos(x)\frac{1}{cos^2(x)}$

Cancel cos(x):

$\frac{1}{cos(x)}$

Rewrite:

$sec(x)$

5 0

4 years ago

Records indicate that x years after 2008, the average property tax on a three bedroom home in a certain community was T(x) =20x^

dem82 [27]

Answer:

a) 40 dollars

b) 480 dollars

Step-by-step explanation:

Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0

T'(x) = 2(20)x¹ + 40x° + 0

T'(x) = 40x+40

At x = 0,

T'(0) = 40(0)+40

T'(0) = 40

Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).

b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)

Given T(x) =20x²+40x+600

T(4) =20(4)²+40(4)+600

T(4) = 320+160+600

T(4) = 1080 dollars

Also T(0) =20(0)²+40(0)+600

T(0) = 0+0+600

T(0)= 600 dollars

T(4) - T(0) = 1080 - 600

T(4) - T(0) = 480 dollars

Hence, the tax has changed by $480 between 2008 and 2012

6 0

4 years ago

What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No addit

Savatey [412]

Answer:

AC congruent to EC

Step-by-step explanation:

This problem is asking specifically to prove triangles congruent using HL.

HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.

Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.

You need AC congruent to EC.

7 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs.

Tatiana [17]

Answer:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

Step-by-step explanation:

Transformations are done on a Cartesian Plane, which is the grid with four quadrants. (See picture) Each quadrant is 90°, so two quadrants is 180°.

When you rotate counterclockwise it is like in the picture. When you want to rotate clockwise, it's the other way.

When we rotate 180°, it does not matter if it is counterclockwise or clockwise because the result is the same (both move two quadrants).

We can imagine an example to help us solve the problem. Let's say we are rotating an object starting in first quadrant. (Upper right quadrant).

Find out which quadrant the object ends up with each instruction:

FROM THE PICTURE:

"a 90° counterclockwise rotation about the origin (Q2) and then a 180° rotation about the origin"

End: Quadrant 4

"a reflection across the x-axis (Q4) and then a reflection across the y-axis"

End: Quadrant 3

"a 90° clockwise rotation about the origin (Q4) and then a rotation 180° about the origin"

End: Quadrant 2

FROM YOUR LIST:

"a 90° counterclockwise rotation about the origin " Quadrant 2

"a 180° rotation about the origin " Quadrant 3

"a 90° clockwise rotation about the origin" Quadrant 4

Match each ending quadrant from your list with the same ending quadrant from the picture.

The order that you should put your list into the boxes is:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

8 0

3 years ago

M squared - 10 squared

LUCKY_DIMON [66]

That would be m squared- 100. I don't exactly know where to go from here. There isn't really enough info for me to go on. Hopefully this helps a little.

5 0

3 years ago