C. Solve for the missing measurements. m<AZL m AL

Carmen has an average of 8 on two 10-point math quizzes. If she scored 10 on the third quiz, what is true of Carmen's average sc

lana [24]

Answer:

9

Step-by-step explanation:

5 0

2 years ago

If a+1/a = 5, find the value of a² +1/a²

Orlov [11]

a - 1/a =5

take squaring both side

(a - 1/a )^2 = (5)^2

a^2 +1/a^2 -2.a.1/a =25

a^2+1/a^2 -2 =25

a^2+1/a^2 =27 (answer)

6 0

2 years ago

Read 2 more answers

mrs. roberts makes 'regular' and 'low sugar' jam. she sells both kinds of jam in 340-grams jar.A Jar Of her Low sugar Jam Contai

Vinvika [58]

Answer:

Percentage of sugar in low sugar jam is

340÷100= 3.4

Divide 3.4 from 102.

102/3.4 =30

Therefore there is 30% of sugar in her low sugar jam

3 0

2 years ago

Find a · 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

2 years ago

Read 2 more answers

Does anyone know the answer to these two problems?

Nady [450]

Answer:

8) -8, -9

9) 4, $\frac{1}{2}$

Step-by-step explanation:

8) x² + 12x + 27

Solutions of a polynomial means the values of $x$ such that the polynomial becomes zero. $i.e., y = 0$ .

We use the following formula to determine the solutions of a quadratic equation of the form: $ax^2 + bx + c = 0$

$\implies x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this equation, $a = 1; b = 12; c = 27$

Substituting in the formula, we have:

$x = \frac{-12 \pm \sqrt{144 - 108}}{2}$

$\implies x = \frac{-12 \pm 6}{2}$

Taking 2 common outside we get:

$x = - 6 \pm 3$

Therefore, we get two solutions viz, x = -3, -9.

9) 2x² - 9x + 4 = y

X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.

Solving the equation using the formula above, we get:

$x = \frac{-(-9) \pm \sqrt{81 - 32}}{2(2)}$

$\implies x = \frac{9 \pm 7}{4}$

The values of x = 4, $\frac{1}{2}$ .

Hence, the answer.

8 0

3 years ago

C. Solve for the missing measurements. m<AZL m AL​

C. Solve for the missing measurements. m<AZL m AL