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2 years ago

Perimeter of a triangle is 27cm,if two sides measure 9cm and 7.8cm,find the measure of third side?

Mathematics

1 answer:

fredd [130]2 years ago

8 0

Answer:

10.2cm

Step-by-step explanation:

Perimeter is the sum of the lengths of all sides.

1st side: 9cm

2nd side: 7.8cm

Perimeter: 27cm

Perimeter = 1st + 2nd +3rd side of a triangle

27cm = 9cm +7.8cm + 3rd side

3rd side = 27cm - 9cm -7.8cm

= 10.2cm

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Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.

Rashid [163]

Answer:

The present age of Mark is 25 years.

And present age of Lindsay is 20 years.

Step-by-step explanation:

Let us assume:

The present age of Lindsay = l

The present age of Mark = m

⇒ Age of Lindsay seven years ago = (l -7) years

and Age of Mark seven years ago = (m -7) years

According to question:

Lindsay is 5 years younger than Mark ⇒ l = m - 5

Seven years ago, the sum of their ages was 31 ⇒ (l-7) + (m -7) = 31

So, the given set of equation are:

l = m - 5 ......... (1)

(l-7) + (m -7) = 31

⇒ ((m - 5) -7) + (m -7) = 32 (from (1)

or, m -12 + m - 7 = 31

or, 2m = 31 + 19 = 50

⇒ m = 50 / 2 = 25, or m = 25

Hence,the present age of Mark = 25 years

So,the present age of Lindsay = 25 - 5 = 20 years

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3 years ago

In space, the intersection of a line and a plane is A) not possible. B) a point or a line. C) a line or a plane. D) a point or a

Gnoma [55]

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ArbitrLikvidat [17]

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Read 2 more answers

A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?

Nataly_w [17]

see the attached figure to better understand the problem

Step 1

Find the value of c

we know that

Applying the Pythagorean Theorem

$c^{2} =a^{2}+b^{2}$

we have

$a=505\ mm$

$b=286\ mm$

substitute the values in the formula

$c^{2} =505^{2}+286^{2}$

$c^{2} =336,821$

$c=580.36\ mm$

Step 2

Find the value of angle A (α)

we know that

in the right triangle ABC

$cos(A)=\frac{b}{c} \\ \\cos(A)=(286/580.36)\\ \\A=arc\ cos(286/580.36)\\ \\A=60.48\ degrees$

Step 3

Find the angle B (β)

we know that

in the right triangle ABC

angle A and angle B are complementary angles

A+B=90

solve for B

B=90-A-------> B=90-60.48-----> B=29.52°

therefore

the answers are

a) the measure of side c is 580.36 mm

b) the measure of the angle α is 60.48°

c) the measure of the angle β is 29.52°

7 0

3 years ago