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Alona [7]
3 years ago
7

The figure shows a parallelogram inside a rectangle outline:

Mathematics
2 answers:
Leviafan [203]3 years ago
4 0

Side of the parallelogram :-
3/5 - 1/5 = 2/5
Height :-
2/5 is the side of rectangle n also forms the height of parallelogram.
Area = bh
= 2/5 × 2/5
= 0.16 foot square

jeyben [28]3 years ago
3 0

Answer:

0.16

Step-by-step explanation:

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Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior out of all students in the
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20% = 1/5, so 5*5 = 25 students
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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
Read 2 more answers
Mr. Cresta spends $6.00 for every $3.00 he saves. Write a ratio equivalent to Mr. Cresta's spending
Andrei [34K]

Answer:

12:6 or $12 for every $6 he saves

Step-by-step explanation:

If he spends $6.00 for every $3.00, he would save $6 if he spends $12. In this case you could multiple or divide 6 by any number, and do the same to 3 to get an equivalent ratio. Ex. Multiple 6 times 2 to get $12 and 3 times 2 to get $6.

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Scorpion4ik [409]

Answer:

Two positive zeros, no negative zeros, two complex roots.

Step-by-step explanation:

The given function is f(x)=3x^4-5x^3-x^2-8x+4

According to the fundamental theorem of algebra, the function will have 4 roots.

The graph of the function intersects the positive axis at two points.

Hence the function has two positive zeros and no negative zeros.

The two remaining roots are imaginary. The function has two complex zeros.

See graph in attachment

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A car drives with a constant speed of 88 km/h. How far can it travel in 1.5 hours
yan [13]

Answer:

54 mph

Step-by-step explanation:

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2 years ago
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