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Zina [86]
3 years ago
10

Unit test

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

Step-by-step explanation:

you need to do Gems as an hint what is gems u may be asking it is grouping exponents  multiplication subtractin

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An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 me
kati45 [8]

The length of one of the remaining sides is 34.20 meters.

<h3>What is the length?</h3>

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Perimeter of an isosceles trapezoid =  sum of lengths of sides of a trapezoid

length of shorter base + length of longer base + (2 x legs)

108 = 11.5 + 28.1 + (2 x legs)

108 = 39.60 + (2 x legs)

108 - 39.60 =  (2 x legs)

68.40 =  (2 x legs)

leg = 68.40 / 2

= 34.20 meters

To learn more about trapezoids, please check: brainly.com/question/25748893

#SPJ1

5 0
2 years ago
Please solve with explanation
photoshop1234 [79]

Answer:

Below in bold.

Step-by-step explanation:

If the 3 points are on the circle with the given center then the distance from each point to the center will all be equal. This distance will be the radius of the circle.

Distance  of P (2, 5) from the center (4, 2)

= √( (5-2)^2 + (2-4)^2)

= √(9 + 4)

= √13.

For Q (6, -1)this distance is:

= √(6-4)^2 + (-1-2)^2)

= √13.

For R (7, 4) his distance is:

= √(7-4)^2 + (4-2)^2)

= √13

These distances are the same so the points P, Q and R lie on the circle.

The midpoint of PQ

= (2+6)/2 , (5 - 1)/2

= (4, 2).

Which is the center so this verifies the second part.

6 0
2 years ago
Read 2 more answers
Can someone help me please ???
Phantasy [73]

Answer:

-7,0,5,8

Step-by-step explanation:

Just try to visualize it. If a function is reflected across the x-axis, that means that positive values are flipped and become negative and negative values become positive.

So, g(x)=-f(x).

4 0
3 years ago
Roberto wrote a sentence that describes an equation.
tresset_1 [31]
The last one: x/2=45; x = 90
the problem says: half of a number is 45.

let's use x to represent this number
we know that dividing by 2 halves a number, so, x/2 = 45

to get x alone, we multiply 2 by 2 to cancel it out. so, multiply by 2 on both sides

x/2 • 2 = 45 • 2

x = 90

hope this helped!
3 0
3 years ago
Read 2 more answers
Which is the LCM of (x + y) and (x + y)2.​
Semmy [17]

Answer:

(x+y)²

Step-by-step explanation:

Given the expressions (x + y) and (x + y)².​

We are to find the LCM of (x + y) and (x + y)²

Taking the factors as shown

(x+y ) || (x + y) (x + y)²

(x+y ) || 1   (x+y)

        ||  1     1

Multiplying both factors to get the LCM

= (x+y)(x+y)

= (x+y)²

<em>Hence the LCM of (x + y) and (x + y)² is  (x+y)²</em>

8 0
3 years ago
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