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PIT_PIT [208]
3 years ago
10

Solve this equation c \/3=6 1/7

Mathematics
1 answer:
kicyunya [14]3 years ago
3 0
c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7

Convert mixed fraction into a simple fraction

6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7 

c/7 = 43/7

proportionality: 

a/b = c/d where  cross products are equal :  ad = bc

a = c 
b = 7 
c = 43
d = 7          

<span>ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43</span>
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4. Gloria the grasshopper is working on her hops.
aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

The given parameters are:

\mathbf{Height = 20}

\mathbf{Length = 28}

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

\mathbf{Mid = \frac 12 \times Length}

\mathbf{Mid = \frac 12 \times 28}

\mathbf{Mid = 14}

So, the vertex of the parabola is:

\mathbf{Vertex = (Mid,Height)}

Express properly as:

\mathbf{(h,k) = (14,20)}

A point on the graph would be:

\mathbf{(x,y) = (28,0)}

The equation of a parabola is calculated using:

\mathbf{y = a(x - h)^2 + k}

Substitute \mathbf{(h,k) = (14,20)} in \mathbf{y = a(x - h)^2 + k}

\mathbf{y = a(x - 14)^2 + 20}

Substitute \mathbf{(x,y) = (28,0)} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{0 = a(28 - 14)^2 + 20}

\mathbf{0 = a(14)^2 + 20}

Collect like terms

\mathbf{a(14)^2 =- 20}

Solve for a

\mathbf{a =- \frac{20}{14^2}}

\mathbf{a =- \frac{20}{196}}

Simplify

\mathbf{a =- \frac{5}{49}}

Substitute \mathbf{a =- \frac{5}{49}} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

Hence, the equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0
2 years ago
How do I get the answer to 45.27 x 62.3?
GaryK [48]

Answer:

2820.321

Here’s how the multiplication works:

Perform the multiplication just as you would for whole numbers.

When you’re done, count the number of digits to the right of the decimal point in each factor and add the results.

Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.

Step-by-step explanation:

Mark me brainliest!

8 0
2 years ago
Help me please I really need help
lianna [129]

Answer:

im pretty sure its A

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
if the formula for the perimeter of a rectangle is p=2l+2w, what is the formula for w in terms of p and l
aleksklad [387]

Answer:

(p-2l)/2 = w

Step-by-step explanation:

p=2l+2w


We want to solve for w.

The first step is to subtract 2l from each side

p-2l=2l-2l+2w

p-2l=2w

Then we will divide each side by 2 to isolate w

(p-2l)/2 = 2w/2

(p-2l)/2 = w

3 0
3 years ago
determinati cel mai mic multiplu comun al urmatoarelor numere naturale a-36,48,54;b-30,45,75;c-48,60,72;d-90,24,72;e-75,100,150;
fenix001 [56]
<span>f-72,108,144 is the answer i hop it helps you</span>
8 0
2 years ago
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