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FromTheMoon [43]
3 years ago
11

The perimeter of an isosceles triangle is p = 2a + b. Find the numerical value of a if p = 10 and b = 3.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
7 0
P = 2a + b
10= 2a + 3
2a = 10-3
a = 7/2 = 3.5


Therefore, numerical value of a is 3.5
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A fish was swimming 2 ½ feet below the water's surface at 1:00 pm. Three hours later, the fish was at a depth that is 3 ¼ feet b
IgorC [24]

Answer:

The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm

Step-by-step explanation:

Here, we want to find a rational number that represents the position of the Fish at 4pm

Initially it was at a depth of 2 1/2 ft below the water surface

At 4pm, it went 3 1/4 ft further

Thus, its position with respect to the water surface at 4 pm will be;

2 1/2 + 3 1/4

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6 0
3 years ago
Identify the expression and the value equivalent to 4 times 3 cubed
MrRa [10]

Answer:

4 \times 3^{3}\\\\4\times3 \times3\times3\\\\108

Step-by-step explanation:

Four times three cubed

Given the statement, times means multiplication.

four times three

4        x         3

It says three cubed, where cubed means raised to 3. So that means we right an exponent, and the exponent is 3.

4 x 3³

When we have an exponent, that tells you how many times you will multiply it by itself. So since the exponent is 3, we multiply 3 by itself 3 times.

3³ = 3 x 3 x 3

So 4 x 3³ = 4 x 3 x 3 x 3

Lastly, if we get the product your result will be 108.

4 x 3 x 3 x 3

=4 x 27

= 108

8 0
3 years ago
Read 2 more answers
How to find compound rate from given values, 10 years after, and initial
dybincka [34]

The formula that calculates the compound rate from the given values is r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

<h3>How to determine the compound interest rate?</h3>

The compound interest formula is:

I = P(1 + \frac rn)^{nt} - P

Where:

  • P represents the principal amount
  • r represents the compound interest rate
  • n represents the number of times the interest is compounded
  • t represents the time in years
  • I represents the interest

We start by adding P to both sides

P + I = P(1 + \frac rn)^{nt}

Divide through by P

\frac{P + I}{P} = (1 + \frac rn)^{nt}

Take the nt-th root of both sides

\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn

Subtract 1 from both sides

-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn

Multiply through by n

r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})

In this case, t = 10

So, we have:

r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

Hence, the formula that calculates the compound rate is r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

Read more about compound interest at:

brainly.com/question/13155407

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3 0
2 years ago
HELPPPPPPPPPPPPPPPPWhich statements are true about the ordered pair(-1, -4) and the system of
Anastasy [175]

Answer:

When (-1,-4) is substituted into the second equation, the equation  is true.

The ordered pair (-1,-4) is a solution to the system of linear  equations.

When (-1,-4) is substituted into the first equation, the equation is  true.

Step-by-step explanation:

Given

x - y = 3

7x - y = -3

Required

What is true about (x,y) = (-1,-4)

To do this, we substitute -1 for x and -4 for y in both equations;

For x - y = 3

-1 - (-4) = 3

-1 + 4 = 3

3 = 3

<em>Hence: </em>(-1,-4)<em> is true for </em>x - y = 3<em></em>

For 7x - y = -3

7(-1) - (-4) = -3

-7 +4 = -3

-3 = -3

<em>Hence: </em>(-1,-4)<em> is true for </em>7x - y = -3

3 0
3 years ago
PLEASE HELP! Determine the slope &amp; the y-intercept of the following graphs.
olga55 [171]

Hey girl! It's me again to explain this to you :)

Number 21.) If we start from our y-intercept -2 and move up 2 on our y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.

Slope: 2/1 or just 2

Y-intercept: -2

You didn't ask for this but i'm gonna write it anyways. The equation for this line is y=2x-2

Number 22.) If we start from our y-intercept 2 and move down 2 on your y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.

Slope: -2/1 or just -2

Y-intercept: 2

Again you didn't ask for this but the equation for this line is y=-2x+2

Hope this helped you understand and again make this brainliest and reply if you need more help or have any more questions :)

Step-by-step explanation:

4 0
2 years ago
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