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Nana76 [90]
3 years ago
14

The lengths of the base and legs of an isosceles triangle are in the ratio of 3;2 the perimeter of triangles is 105 find the len

gth of the base
Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0
I guess you meam 3:2 instead of 3; 3
Anyhow,
The sides of isoceles triangle are leg, leg , base
each leg =2
while the base =4
To find the number you have to divide the ratio by total and multiply into 105
The base
3/7 × 105 = 45
The leg
2/7 × 105 = 30
Therefore, The length of the base = 45 cm
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2<br> 2. Evaluate (a + y)+ 2y if a = 5 and y = -3.<br> F 58<br> G -2<br> H 70<br> J 10
NARA [144]
<h3>Answer:  G) -2</h3>

=======================================================

Explanation:

I'm assuming you meant to say (a+y)^2 + 2y

Replace each copy of 'a' with 5. Replace each copy of 'y' with -3. Use PEMDAS to simplify.

(a+y)^2 + 2y

(5 + (-3))^2 + 2(-3)

(5-3)^2 + 2(-3)

(2)^2 + 2(-3)

4 + 2(-3)

4 - 6

-2

So (a+y)^2 + 2y = -2 when a = 5 and y = -3.

3 0
2 years ago
What is the reduced answer to 4/9 multiples by 4/5 equal
deff fn [24]
First, we know that when multiplying fractions, we multiply both the numerator and denominator.

so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45

so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor

factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.

for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9

let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)

the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.

because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
4 0
3 years ago
A jet heads 60° north of east at 700 miles per hour. When the jet reaches a certain point, it encounters
alexandr1967 [171]
So what’s the question like I can’t see it :)
7 0
2 years ago
Find the area of the missing piece of the polygon and explain your process for finding it:
rusak2 [61]

Answer:

The area of the polygon is 42cm^{2}.

Step-by-step explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

                                = 102cm^{2}

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

                        = 12 × 12

                       = 144cm^{2}

Area of polygon = 144 - 102

                           = 42cm^{2}

The area of the polygon is 42cm^{2}.

6 0
3 years ago
How do you construct a 112.5 degree angle? (step by step) Please help =)
KATRIN_1 [288]
First you take a protractor and a pencil
next, you draw a horizontal line (red)
then find the value of the angle, and draw a line with the matched value (green) 
please look at the image 

5 0
3 years ago
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