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3 years ago

11

2 easy questions, 6th grade

2 answers:

Gnoma [55]3 years ago

3 0

Answer:

36 and 6. 2.

Step-by-step explanation:

Gala2k [10]3 years ago

3 0

I’m not sure but I think it’s 15 and 6

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How many solutions exist for the following system of equations: 4x + y = 7 and 3x - y = 0 a. no solution b. one solution c. infi

Zanzabum

$4x+y=7 \\
\underline{3x-y=0} \\
4x+3x=7+0 \\
7x=7 \ \ \ |\div 7 \\
x=1 \\ \\
3x-y=0 \\
3 \times 1-y=0 \\
3-y=0 \ \ \ |+y \\
y=3 \\ \\
(x,y)=(1,3)$

The answer is B. one solution.

6 0

4 years ago

ABC with altitude \overline{BD}

just olya [345]

The length of $\overline{AC}$ is given by the relationship between the similar triangles

ΔABD and ΔBDC.

$\overline{AC}$ = <u>80</u>

Reasons:

The given parameters are;

The altitude of triangle ΔABD = $\overline {BD}$

The hypotenuse of formed right triangle = $\overline {AC}$

The length of AD = 8

Length of BD = 24

Whereby ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

$\displaystyle \frac{\overline{AD}}{\overline{BD}} = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}$

Which gives;

$\overline{BD}^2$ = $\mathbf{\overline{DC} \times \overline{AD}}$

Therefore;

$\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}$

$\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}$

$\overline{AC} = \overline{DC} + \overline{AD}$

Which gives;

$\overline{AC} = 72 + 8 =\mathbf{ 80}$

Learn more about similar triangles here:

brainly.com/question/4618367

8 0

2 years ago

Need help solving this problem

natka813 [3]

Answer:

Part 1: $\frac{11-x}{5}$ or $\frac{11}{5}-\frac{x}{5}$

Part 2: $\frac{9}{5}$

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get $5y=11-x$ (since the x is negative you're using subtraction from 11).

Next, divide both sides by 5 to make 5y into y:

$\frac{5y}{5} =\frac{11}{5}-\frac{x}{5}$

$y=\frac{11}{5}-\frac{x}{5}$

Then in this case you turn y=f(x), but the system did it for you, so all you have to put is $\frac{11}{5}-\frac{x}{5}$ .

For the second part you must replace x with 2 since you need to find f(2).

$\frac{11-2}{5}$

Your answer for part 2 is $\frac{9}{5}$ .

3 0

2 years ago

The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use

Len [333]

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

$r = \sqrt{\frac{3v}{4\pi}}$

$v = 288$

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

$r = \sqrt{\frac{3v}{4\pi}}$

$r = \sqrt{\frac{3 * 288}{4 * 3.14}}$

$r = \sqrt{\frac{864}{12.56}}$

$r = \sqrt{68.7898089172}$

$r = 8.29396219651$

$r = 8.3\ inch$ (Approximated)

Hence;

<em>The radius of the volleyball is 8.3 inches</em>

3 0

3 years ago

Read 2 more answers

What is the area of triangle GHJ

EastWind [94]

A = 1/2 bh = 1/2 (3)(4) = 12/2 = 6

answer is B. 6 square units

4 0

3 years ago