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3 years ago

What is the value of x

Mathematics

1 answer:

motikmotik3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

<u>All triangles add up to 180 degrees</u>

76 + 17x + 9x = 180

76 + 17x + 9x - 76 = 180 - 76

26x / 26 = 104 / 26

x = 4

Answer: x = 4

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7729 to one significant figure

love history [14]

Are there any decimals? Round to one digit: 7729 expressed in 1 digit = 8x10^-3

6 0

3 years ago

Kitty has invested £5500 for 3 years in a savings account. She is paid 6% per annum compound interest. How much did she have in

Zielflug [23.3K]

The value of her investment at the end of 3 years is £10955.08

<h3>How to determine the value?</h3>

The given parameters are

Principal, P = £5000
Rate, r = 6%
Time, t = 3 years

The value is then calculated as:

Value = P * P(1 + r)^t

So, we have:

Value = 5000 + 5000 * (1 + 6%)^3

Evaluate the expression

Value = 10955.08

Hence, the value of her investment at the end of 3 years is £10955.08

Read more about compound interest at:

brainly.com/question/24924853

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5 0

2 years ago

By which least number should 12500 10be multiplied to make them perfect squares

Katarina [22]

Answer:

The least number 12500 need to be multiplied by to make it a perfect square is 5.

Corrected question;

By which least number should 12500 be multiplied to make them perfect squares

Step-by-step explanation:

Perfect squares are squares of whole numbers.

Like 4,9,16 etc.

For 12500, we need to first of all reduce it to its Lowest factors.

12500 = 2×2×5×5×5×5×5

Grouping the factors into pairs of thesame factors.

12500 = (2×2) × (5×5) × (5×5) × 5

Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.

So, when the number is multiplied by 5;

12500 × 5 = (2×2) × (5×5) × (5×5) × (5×5)

62500 = (2×2) × (5×5) × (5×5) × (5×5)

62500 = (2×5×5×5)^2 = 250^2

Hence, 62500 is a perfect square.

The least number 12500 need to be multiplied by to make it a perfect square is 5.

6 0

3 years ago

A clown is shot out of cannon with a velocity of 200 feet per second at an angle of 24°

Nadusha1986 [10]

Answer:

Vertical component of velocity is $81.35 ft/sec.$

Horizontal component of velocity is $182.6 ft/sec$ .

Step-by-step explanation:

Horizontal component of velocity is defined as:

$v_{x} = v\times cos\theta$

Vertical component of velocity is defined as:

$v_{y} = v\times sin\theta$

Where $v_{x} , v_{y}$ are the horizontal and vertical components of velocity.

$v$ is the actual velocity and

$\theta$ is the angle with horizontal axis at which the object was thrown.

Here, we are provided with the following:

$v = 200 ft/sec$

$\theta = 24^\circ$

$v_{x} = 200 \times cos24^\circ\\\Rightarrow 200 \times 0.913\\\Rightarrow v_{x} = 182.6 ft/sec$

$v_{y} = 200 \times sin24^\circ\\\Rightarrow 200 \times 0.407\\\Rightarrow v_{y} = 81.35 ft/sec$

So, Vertical component of velocity is $81.35 ft/sec.$

Horizontal component of velocity is $182.6 ft/sec$ .

3 0

2 years ago

This Venn diagram shows sports played by 10 students.

seropon [69]

Answer: Option A

$P(A|B)=\frac{3}{5}=0.6$

Step-by-step explanation:

By Definition the probability of A given B is:

$P(A|B)=\frac{P(A\ and\ B)}{P(B)}=\frac{A\ and\ B}{B}$

Note that the number of students playing basketball is 6

The number of students playing soccer is 5

The number of students who play both sports is 3

Therefore we have that:

$P(A|B)=\frac{3}{5}=0.6$

The answer is the option A

5 0

2 years ago