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dmitriy555 [2]
3 years ago
5

What is the missing length?

Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

80

Step-by-step explanation:

89^2-39^2=6400, 6400=80^2

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Felica starts with y coins in her collection. She loses 20 coins, taking her collection to 28. Choose the equation that correctl
Assoli18 [71]

Answer:

The equation representing the scenario is y-20=28.

Step-by-step explanation:

Given:

Number of coins in Felica collections in start = y \ coins

Number of coins she looses = 20\ coins.

Number of coins left in the collection after loosing = 28 \ coins

We need to write the equations representing the scenario.

Solution:

Now we can say that;

Number of coins in Felica collections in start minus Number of coins she looses is equal to Number of coins left in the collection after loosing.

framing in equation form we get;

y-20=28

Hence The equation representing the scenario is y-20=28.

4 0
3 years ago
Express 0.9534 as a fraction
Solnce55 [7]
Express 0.9534 as a fraction

<span>0.9534 × 10 × 10 × 10 × 10 = 9534
</span><span>1 × 10 × 10 × 10 × 10 = 10000
</span>9534/10000

Divide by GCF:-

GCF = 2

9534 ÷ 2 = 4767
1000 ÷ 2 = 500
4767/500
^^^Improper fraction
Convert to mixed number:-

4767 ÷ 500 = <span>9.534

500 × 9 = 4500</span>

<span>4767 - 4500 =  267</span>

<span>9 = whole number</span>
<span>267 = </span>numerator
<span>500 = </span>denominator
<span>
9 267/500
 
0.9534 = 9537/10000 = 4767/1000 = 9 267/500 </span><span />
6 0
3 years ago
The figure shows a quarter circle and an equilateral triangle. What is thearea of the shaded part? Give your answer to 3 signifi
ad-work [718]

Explanation

The shaded area represents a segment. This can be solved with the formula below;

\mleft(\frac{\theta}{360}\mright)\times\pi r^2-\frac{1}{2}r^2sin\theta

Since the triangle is an equilateral triangle, it implies that the angle subtended at the centre is 60 degrees. Also, the given radius is 7 cm

\begin{gathered} =7^2(\frac{60}{360}\times3.14-\frac{1}{2}\times\sin 60)^{}_{} \\ =49(\frac{3.14}{6}-\frac{\sqrt[]{3}}{4}) \\ =4.43\operatorname{cm}^2 \end{gathered}

Answer:

4..43\operatorname{cm}^2

7 0
1 year ago
Which statement justifies that x2 + 3x − 1 multiplied by 2x2 − 2x + 1 obeys the closure property of multiplication?
olya-2409 [2.1K]
(x² + 3x - 1)(2x² - 2x + 1)

x²(2x² - 2x + 1) + 3x(2x² -2x + 1) -1(2x² - 2x + 1)
2x^4 - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x - 1
2x^4 - 2x³ + 6x³ + x² - 6x² - 2x² + 3x + 2x - 1
2x^4 + 4x³ - 7x² + 5x - 1

<span>(D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.</span>
7 0
4 years ago
Read 2 more answers
Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthe
Ivahew [28]

Answer:

y = -2x + 6

Step-by-step explanation:

Given

(x_1,y_1) = (1,4)

(x_2,y_2) = (2,2)

Required

Determine the line equation

First, we calculate the slope (m) using

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{2-4}{2-1}\\

m = \frac{-2}{1}

m = -2

The equation is then calculated using:

y - y_1 = m(x - x_1)

y - 4 = -2(x - 1)

Open bracket

y - 4 = -2x + 2

y = -2x + 2 + 4

y = -2x + 6

5 0
3 years ago
Read 2 more answers
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