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wel
4 years ago
9

Using the Distributive Property to factorize the equation 3x^2 + 24x = 0, you get _____The solution of the equation is _____

Mathematics
1 answer:
stiv31 [10]4 years ago
7 0
Solution is x=0 x=-8
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Help help<br><br> what’s the value of x <br><br> measure of c
ira [324]

Answer:

x = 29

Angle C = 93°

Step-by-step explanation:

Since all of the interior angles of a triangle add up to 180° and we are given the values of angle A and angle B, we can find angle C by subtracting A and B from 180.

35 + 52 = 87

180 - 87 = 93

Thus, the measure of angle C is 93°.

Now that we know the measure of angle C, we can determine the value of x.

Set up an equation:

3(x + 2) = 93

3x + 6 = 93

3x = 87

x = 29

4 0
3 years ago
Read 2 more answers
Ellen has recently inherited $5400, which she wants to deposit into a CD account. She has determined that her two best bets are
trapecia [35]

Answer:

Interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

Step-by-step explanation:

Data provided in the question:

Principle amount = $5400

let us calculate the interest for t = 1 year

Case 1:

Rate of interest, r = 4.1%

Compounded semi-annually i.e number of periods, n = 2

Therefore,

Interest = Principle × \left( 1 + \frac{r}{n} \right)^{\Large{n\times t}} - Principle

on substituting the respective values, we get

Interest = $5400 × \left( 1 + \frac{0.041}{2} \right)^{\Large{2\times1}} - $5400

or

Interest = $5400 × 1.0205² - $5400

or

Interest = $5623.67 - $5400

= $223.67

Case 2:

Rate of interest, r = 5.3% = 0.053

Compounded quarterly i.e number of periods, n = 4

Therefore,

Interest = Principle × \left( 1 + \frac{r}{n} \right)^{\Large{n\times t}} - Principle

on substituting the respective values, we get

Interest = $5400 × \left( 1 + \frac{0.053}{4} \right)^{\Large{4\times1}} - $5400

or

Interest = $5400 × 1.01325⁴ - $5400

or

Interest = $5691.94 - $5400

= $291.94

Hence,

interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

6 0
3 years ago
Which equation can be used to calculate the area of the shaded triangle in the figure below?
steposvetlana [31]

Answer:

fraction 1 over 2(14 × 4) = 28

Step-by-step explanation:

The diagonal divide the rectangle into two congruent triangles, each with an area of:

½(14)(4)

28 ft²

5 0
4 years ago
Read 2 more answers
Find the arc length of the particle circle
klasskru [66]

Answer:

Length of arc is 2π

Step-by-step explanation:

Length of arc=¤/360 x 2πr

Where:

¤=angle

r=radius

length of arc=90/360 x 2xπx4

Length of arc=1/4 x 8π

Length of arc=8π ➗ 4

Length of arc=2π

4 0
3 years ago
Read 2 more answers
A circle has its center at the center of a square with 26-inch sides. Using 3.14 for pi, find the area of the square not covered
AlladinOne [14]
For squrae
area=side²
perimiter=4(side)

for circle
area=pir²
circumference=2pir

side=diameter, diameter/2=radius=side/2


find area not covered
that is areasquare-areacircle
areasquare=26²=676 sqauare inches
areaciecle, diameter=side, 26/2=13, area=pi13²=169*3.14=530.66 square inches

areanotcovered=676-530.66=145.34 square inches not coverd


ratio of perimiter to circumferece
perimiter=4*26=104
circumference=2pir=2pi13=26pi=26*3.14=81.64
circumference to perimiter is 81.64/104=0.785

7 0
3 years ago
Read 2 more answers
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