All categories

3 years ago

Please help! Really need help :')

Mathematics

1 answer:

snow_lady [41]3 years ago

3 0

In the above givem figures all the angles can be found by complementary pair of angles.

What do you mean by complementary pair of angles?

There are basically two types of pair of angles i.e. Supplementary & Complementary.
Supplementary means that sum of two angles is 180°. It is also known as linear pair of angles. It is always formed on straight line.
Complementary pair of angle is that when sum of both angles is 90°. It is formed when a right angle is bisected.

<h3>Fun Fact: All angles of a square and rectangle are of 90°.</h3>

∠A+45°=90°

∠A+45°=90° ∠A=90°-45°

∠A+45°=90° ∠A=90°-45° ∠A=45°

Hence, ∠A is 45°

 ∠B+65°=90°

 ∠B=90°-65°

 ∠B=25°

Hence, ∠B is 25°

 ∠C+52°=90°

 ∠C=90°-52°

 ∠C=38°

Hence, ∠C is 38°

 ∠D+40°+34°=90°

 ∠D+74°=90°

 ∠D=90°-74°

 ∠D=16°

Hence, ∠D is 16°

You might be interested in

Suppose a charity received a donation of $17.6 million. If this represents 36% of the charity's donated funds, what is the total

Iteru [2.4K]

61,416,000
rounded = 61 million
61,000,000

5 0

3 years ago

Read 2 more answers

If 5 cans of soup cost $6.45, what is the cost of 8 cans of the soup?

jeyben [28]

Answer:

$10.32

Step-by-step explanation:

6.45/ 5 = 1.29

1.29 * 8 = 10.32

8 0

4 years ago

Read 2 more answers

Suppose you have 20 coins that total $4.some coins are nickles and sime are quarters .which of the following pairs of equations

Monica [59]

So 1 nickle=5 cents
1 quarter=25 sents

q=number of quarters
n=number of nickles so

total is
q+n=20
5n+25q=400 (since 100 cents=1 dollar and 4 dollares=400 cents)

SO THE 2 EQUATIONS WOULD BE
n+q=20
5n+25q=400

so q+n=20
subtract q from both sides
n=20-q
subsitute 20-q for n in the second equation
5(20-q)+25q=400
distribute
100-5q+25q=400
add like terms
100+20q=400
subtract 100 from both sides
20q=300
divide both sides by 20
q=15

thhere are 15 quarters

subsitute 15 for q in first equation

15+n=20
subtract 15 from both sides
n=5

5 nickles
15 quarters

4 0

3 years ago

The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure

Novosadov [1.4K]

Hello!

The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure?

Use 3.14 to approximate π .

Enter your answer in the box. in.³

Data: (Cylinder)

h (height) = 7 in

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cylinder volume)

$V = \pi *r^2*h$

$V = 3.14 *2.5^2*7$

$V = 3.14*6.25*7$

$V = 137.375 \to \boxed{V_{cylinder} \approx 137.38\:in^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$