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2 years ago

Question below please!

Mathematics

1 answer:

aliina [53]2 years ago

7 0

Answer:

b = √45

Step-by-step explanation:

From the figure we get, There are two right angled triangle.

In large triangle 'b' is the base, height = 6 and hypotenuse = 9

To find the value of b

Hypotenuse² = Base² + Height²

Here,

9² = b² + 6²

b² = 9² - 6² = 81 - 36 = 45

Therefore, b = √45

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A mural is painted on the walls of a local business. It measures 7.5 ft long and 3.5 ft wide. The owner would like

Afina-wow [57]

Answer:

24 sections

Step-by-step explanation:

8 + 8 = 16

4+ 4 = 8

16 + 8 = 24

5 0

2 years ago

4.9t+0.3=5.6t+0.72 I need help on my work lol

Whitepunk [10]

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this. What is given to us to accomplish that goal is the expression $4.9t+0.3=5.6t+0.72$ .

Now that we have completed that step, we can move onto the next part which is actually solving the problem. The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

Subtract 4.9t from both sides

$4.9t+0.3=5.6t+0.72$

$(4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72$

$0.3=(5.6t-4.9t)+0.72$

$0.3=(0.7t)+0.72$

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

Subtract 0.72 from both sides

$0.3=0.7t+0.72$

$0.3 - 0.72=0.7t+0.72 - 0.72$

$0.3 - 0.72=0.7t$

$-0.42=0.7t$

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

Divide both sides by 0.7

$-0.42=0.7t$

$\frac{-0.42}{0.7}=\frac{0.7t}{0.7}$

$\frac{-0.42}{0.7}=t$

$-0.6=t$

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

5 0

2 years ago

a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th

Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
14b + 6 = 5b + 15 ⇒ collecting like terms
14b - 5b = 15 - 6
9b = 9
b = 1 ⇒ solved for b

Then, finding a:

a= 7b
a=7*1
a= 7 ⇒ solved for a

So the numbers are 7 and 1

3 0

3 years ago

Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hors later and travele

mezya [45]

Answer:

3 hours

Step-by-step explanation:

Given that:

Average speed of Willie = 40 km/h

After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.

After some time, they are 410 km apart.

To find:

Number of hours = ?

Solution:

For the first two hours, Willie traveled alone.

Formula for distance:

$Distance = Speed \times Time$

Distance traveled in two hours by Willie = $40 \times 2 = 80\ km$

Now, they both travel in opposite directions.

So the relative speed is = 40 + 70 = 110 km/h

The distance traveled by them = 410 - 80 = 330 km

$Time\ taken = \dfrac{330}{110} = 3\ hours$

Therefore, the time taken is 3 hours.

5 0

2 years ago

A video game company surveys a random sample of 225 of its best customer and finds that the average gamer spends $406 a year on

Burka [1]

The second survey is more believable because there is randomness in the second rather than the first survey. Since the second company surveyed in all interest levels while the first company only surveyed their best customers. Random sampling like what the second company did helps produce representative samples by removing voluntary response bias and undercover age bias.

8 0

2 years ago