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2 years ago

Hello people ~

Mathematics

2 answers:

Sauron [17]2 years ago

8 0

Answer:

Step-by-step explanation:

Split each diagonal in half and use the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = c^2 \hookrightarrow 64 + 36 = c^2 \hookrightarrow \sqrt{100} = \sqrt{c^2} \\ \\ \boxed{10 = c}$

I am joyous to assist you at any time.

QveST [7]2 years ago

7 0

Diagonals of a rhombus are perpendicular to each other .

Perpendicular=P=16/2=8
Base=B=12/2=6

We need Side

Hypotenuse=H

Use Pythagorean theorem

$\\ \rm\rightarrowtail H^2=P^2+B^2$

$\\ \rm\rightarrowtail H^2=6^2+8^2$

$\\ \rm\rightarrowtail H^2=10^2$

$\\ \rm\rightarrowtail H=10cm$

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What is the measure of segment eb ?

Nady [450]

We know that
<span>When two chords intersect each other inside a circle, the products of their segments are equal (</span>Intersecting Chord Theorem)<span>
</span>so
in this problem
AE*EB=DE*EF----> EB=DE*EF/AE
AE=4 in
DE=12 in
EF=8 in
EB=?

EB=DE*EF/AE-----> EB=12*8/4----> EB=24 in

the answer is
EB=24 in

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3 years ago

A garden is in the shape of a rectangle. If the garden has a length of 4 feet and a width of 6 feet, what is the area of the gar

julsineya [31]

$A=lw = 6 \times 4 = 24 \: {ft}^{2}$

5 0

3 years ago

HELPP!!!!!!!!!!!!!!!!

Anvisha [2.4K]

Answer:

Step-by-step explanation:

We'll take this step by step. The equation is

$8-3\sqrt[5]{x^3}=-7$

Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:

$-3\sqrt[5]{x^3}=-15$

The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:

$\sqrt[5]{x^3}=5$

Let's rewrite that radical into exponential form:

$x^{\frac{3}{5}}=5$

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

$(x^{\frac{3}{5}})^{\frac{5}{3}}=5^{\frac{5}{3}}$

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:

$x=\sqrt[3]{5^5}$

Let's group that radicad into groups of 3's now to make the simplifying easier:

$x=\sqrt[3]{5^3*5^2}$ because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:

$x=5\sqrt[3]{5^2}$ which is the same as:

$x=5\sqrt[3]{25}$

8 0

3 years ago

What is 3x-2y=24 in slope intercept form??

elixir [45]

Answer: 3x-2y=24 in slope intercept form is $y=\frac{2}{3}x -12$

The graph of the equation is in the attachment

Step-by-step explanation: Slope intercept form is y = mx + b

m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.

You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.

3x - 2y = 24 Standard form. Subtract 3x from both sides.

-2y = -3x + 24 divide both sides by -2

-2y/-2 = -3x/-2 + 24/-2 . Simplify.

y = 3x/2 - 12 .

To clarify the slope as a fraction

$y=\frac{2}{3}x -12$

4 0

3 years ago

Erica and John are making brackets.Erica makes 25 bracelets John makes m More bracelets than Erica which expression represents t

pantera1 [17]

Answer: 50 + m

Step-by-step explanation:

From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:

Erica bracelet = 25

John bracelet = 25 + m

Total bracelet = 25 + 25 + m

= 50 + m

The expression that represents the total number of bracelets Erica and John made is 50 + m

4 0

3 years ago