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kvasek [131]
2 years ago
6

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

<u>To find the value of  b</u>

Hypotenuse² = Base² + Height²

Here,

9² = b² + 6²

b² = 9² - 6² = 81 - 36 = 45

Therefore, b = √45


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WINSTONCH [101]
967.50 = 450 + 28.75p
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2 years ago
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Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00
Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

A = P(1 + \frac{r}{n})^{nt}

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n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

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Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

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4 0
2 years ago
Change this equation, in standard form, to slope-intercept form: 2x + 3y = 18
Mandarinka [93]

Answer:

y = -2/3 + 18

Step-by-step explanation:

2x + 3y = 18       -----    here is the equation...

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Amiraneli [1.4K]

Answer:

B

Step-by-step explanation:

Using the determinant to determine the type of zeros

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Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• If b² - 4ac < 0 then 2 complex zeros

Given

f(x) = (x - 1)² + 1 ← expand factor and simplify

     = x² - 2x + 1 + 1

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with a = 1, b = - 2, c = 2, then

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Since b² - 4ac < 0 then the zeros are complex

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6 0
3 years ago
Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many scre
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then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws

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