All categories

3 years ago

Find the two values that & can have if 22 - 12=37

Mathematics

1 answer:

quester [9]3 years ago

3 0

I’m not sure if this is what you meant to put but this equation is false

You might be interested in

Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.

mart [117]

Answer:

$a\cdot b=-2000\sqrt{2}$

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product a · b.

The formula of dot product is

$a\cdot b=|a||b|\cos \theta$

where, θ is the angle between a and b.

Substitute the given values in the above formula.

$a\cdot b=(80)(50)\cos (\frac{3\pi}{4})$

$a\cdot b=4000\cos (\pi-\frac{\pi}{4})$

$a\cdot b=-4000\cos (\frac{\pi}{4})$ $[\because \cos (\pi-\theta)=-\cos \theta]$

$a\cdot b=-4000\frac{1}{\sqrt{2}}$

$a\cdot b=-\frac{4000}{\sqrt{2}}$

Rationalize the above equation.

$a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}$

$a\cdot b=-\frac{4000\sqrt{2}}{2}$

$a\cdot b=-2000\sqrt{2}$

Therefore, the value of a · b is $a\cdot b=-2000\sqrt{2}$ .

7 0

3 years ago

Read 2 more answers

An investment made in the stock market decreased at a rate of 1.2% per year for 25 years. What is the current value of the $100,

densk [106]

Use A = P (1 + r/n) ^(nt). Assuming that we're dealing with years here, n = 1, so we have

A = P (1 + r) ^(t), where r is the interest rate as a decimal fraction.

The investment decreases in value, so the common ratio r is (1.000-0.012), or 0.988.

Thus, A = $100,000* (0.988) ^25 = $73947.52 is the current value, after 25 years.

6 0

3 years ago

Which of these systems of linear equations has no solution? A. 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus B. y = 18. 4 x + 2 y =

Ilya [14]

Answer:

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34

Step-by-step explanation:

A. 2 x + 8 y = 15. 4 x + 16 y = 30.

Multiply the first equation by 2

4x+16y = 30 This is identical to the second equation so there are infinite solutions

B. 2 x - y = 18. 4 x + 2 y = 38.

Multiply the first equation by 2

4x -2y = 36. Add to the second equation 8x = 74 so there is one solution

C. 4 x + 7 y = 17. 8 x minus 14 y = 36.

Multiply the first equation by 2

8x +14y = 34 Add this to the second equation 16x = 70 There is one solution

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.

Multiply the first equation by 2

8x - 6y = 32 Subtract this from the second equation 8x - 6y = 34

0 = 2

This is never true so there is no solution

7 0

3 years ago

I AM CALLING ALL ACES, EXPERTS, SMARTY PANTS, ETC!!! :)) (MATH 50 POINTS)

8_murik_8 [283]

10. The volume of the triangular prism is $V=A_{base}\cdot H=\dfrac{1}{2} height \cdot base\cdot H$ , then

$V=\dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=23.1$ .

11. The volume of the triangular pyramid is $V=\dfrac{1}{3}A_{base}\cdot H=\dfrac{1}{3}\cdot \dfrac{1}{2} height \cdot base\cdot H$ , then

$V=\dfrac{1}{3}\cdot \dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=7.7$ .

12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.

13. See 10 and 11 for notations in symbols.

6 0

3 years ago

Which of the following could be a rational number? Group of answer choices the sum of a rational number and an irrational number

insens350 [35]

Answer:

Step-by-step explanation:

the sum and product of two rational number

4 0

3 years ago