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Xelga [282]
3 years ago
5

In the figure above if PQRS is a square, what is the value of a?

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Answer:

sino me quivoco es 1/53 espero aber ayudado

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Luna invested $8000 for 36 months at an interest rate of 4.8% per month. How much money will Luna have at the end of her investm
Degger [83]

Answer : $ 9, 152

Luna invested $8000 for 36 months at an interest rate of 4.8%

Let P = principal

T = time

r = rate

Using the simple interest,

\begin{gathered} I\text{ =}\frac{P\text{ x R x T}}{100} \\ P\text{ = \$8000} \\ r\text{ = 4.8\%} \\ t\text{ = 36 months} \\ 12\text{ months = 1 year} \\ 36\text{ months = x year} \\ \text{Cross multiply} \\ 12\cdot\text{ x = 1 x 36} \\ 12x\text{ = 36} \\ \text{Divide both sides by 12} \\ x\text{ = 36/12} \\ x\text{ = 3 years} \\ \text{Hence, t = 36 months = 3 years} \\ I\text{ = }\frac{8000\text{ x 3 x 4.8}}{100} \\ I\text{ = }\frac{115,\text{ 200}}{100} \\ I\text{ = \$1, 152} \end{gathered}

The total balance = Interest + principal

Balance = 1, 152 + 8000

Balance =$9, 152

The total money she will have at the end of the investment is $9, 152

3 0
1 year ago
You use a line best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data
Veseljchak [2.6K]

Answer:

You can be reasonably and mostly towards the strong side of that it is close.

The correlation coefficient is a strong negative correlation, meaning it is most likely close.

Step-by-step explanation:

6 0
3 years ago
Todd draws a diagram using for identical right triangles to form a square are shown which best describes how to use the areas of
den301095 [7]

Answer: The side length of the white square is b-a, so the combined area of the four right triangles is c^2-(b-a)^2.

Step-by-step explanation: iready

7 0
3 years ago
Read 2 more answers
Find the missing angle?
bixtya [17]

Answer:

55.23

Step-by-step explanation:

In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.

sin(\theta)=\frac{opposite}{hypotenuse}

Substitute,

sin(\theta)=\frac{23}{28}

Inverse operations,

\theta=sin^-1(\frac{23}{28})

Simplify,

\theta=55.228056

3 0
3 years ago
Please help!! I’ve been stuck on 3 & 4!
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