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tamaranim1 [39]
3 years ago
15

3.5 11.5 28 33 please help

Mathematics
1 answer:
IgorC [24]3 years ago
4 0

Answer:

28

Step-by-step explanation:

First, find the ratio between the triangles. To do this, divide any side of the big triangle by corresponding side in the small triangle. I chose 35. So, 35/10 = 3.5. 3.5 is the ratio between the triangles. Multiply 3.5 by 8 to get 28, the length of the missing side. :)

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Harry owes the bank money. To repay his debt, he paid \$150$150dollar sign, 150 back to the bank each month. After 101010 months
Sonja [21]


$8,400
Explanation:
Amount repaid each month = $150
Number of Periods for which amount was paid = 10 months
Amount left after 10 months payment = $6900
The total amount paid = $150 × 10 = $1500
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Total debt amount:
(Total Amount left + total amount paid )
$(6900 + 1500)
7 0
3 years ago
4/5 of 40
algol [13]
4/5 of 40 = 32
1/3 of 3 = 1
1/3 of 15 muffins = 10 muffins
3 0
3 years ago
The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.
Andreas93 [3]

Answer:

d) 303 8/9

Step-by-step explanation:

4th term = ar^3  and 5th = ar^4   where a = first term and r = common ratio.

So ar^4 / ar^3

= r = 45/-15 = -3.

Working back,:

The first term a = ar^3/ r^3

= -15 / (-3)^3

= -15/-27

= 5/9

Sum of n terms = a * (r^n - 1)/(r-1)

= 5/9 * ((-3)^7 - 1 ) / (-3 -1)

= 303 8/9

3 0
2 years ago
Read 2 more answers
Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
Jet001 [13]

Answer:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o} (1)

Where:

\Delta y - Amplitude.

\omega - Angular frequency.

x_{o} - Phase shift.

y_{o} - Vertical shift.

x - Independent variable.

y - Dependent variable.

In addition, we know that the period associated with the sinusoidal function (T) is:

T = \frac{2\pi}{\omega}

By direct comparison, we get the following conclusions:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

6 0
3 years ago
What is the value of b2 - 4ac for the following equation?<br><br> 2x2 + 3x = -1
andreyandreev [35.5K]
The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.

Start by moving the -1 to the other side, as we need this function to equal zero.

2x^2 + 3x + 1 = 0

This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.

b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1

The value of the discriminant is 1, meaning that two real roots exist for the function described.
7 0
3 years ago
Read 2 more answers
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