All categories

3 years ago

Please help last one today

Mathematics

2 answers:

Fiesta28 [93]3 years ago

7 0

This is simple. You have to find the LCD here, on the fractions. The whole numbers you can just add together (whole numbers=5 and 2 in this case)

5+2=7. Your first number is 7

Find the LCD (Least common denominator) of 6 and 10. Do this by multiplying 6 by anything that comes to mind, and then multiply 10 by anything that comes to mind. The LEAST large outcome that is the SAME for both numbers is the LCD. 10 is easy, so let's only focus on 6. Think, what times 6 equals a number between 1-100 (just an example)
Well, 6*5=30. 10*3=30. DING!!

Now, your fractions look like: 5 5/30 divided by 2 1/30
What you do to the denominator you have to do to the numerator. Now, take 5 and multiply it by 5 (because for the denominator, 6*5=30)
Take 1 and multiply it by 3 (because for the denom. 10*3=30)
NOW you have: 5 and 25/30 divided by 2 and 3/30
Now just add!
5+2=7, 25 and 3=28, and the denominators don't change

Your answer is 7 and 28/30
~Hope this helps!

murzikaleks [220]3 years ago

4 0

7 28/30 is the answer

You might be interested in

What anime do you watch

BartSMP [9]

Answer:

Naruto

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

2 years ago

Can someone help me please?

Roman55 [17]

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

3 0

3 years ago

ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?

Marrrta [24]

EF = 50 in.

In similar figures, corresponding sides are proportional. We use the similarity statement ABCD~EFGH to write a proportion:

$\frac{AB}{EF}=\frac{AD}{EH}
\\
\\ \frac{30}{x}=\frac{45}{75}$

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50

3 0

2 years ago

Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.

RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

(parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

4 0

2 years ago