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Zanzabum
2 years ago
5

Belinda's Great Dane is 74.Belinda's Great Dane is 74.9 cm tall and 225 cm long.

Mathematics
1 answer:
Svetlanka [38]2 years ago
6 0

Answer:

0.749m and 2.25m

Step-by-step explanation:

to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m

74.9cm/100= 0.749m and 225cm/100=2.25m

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The sum of three numbers is 72. One number is two times 10 and another number is three times 10. What is the third number?
noname [10]
The third number is 20
8 0
3 years ago
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How many solutions doe
musickatia [10]

Answer:

Given equation have two solutions.

x = -\frac{5}{2} and -\frac{8}{3}

Right option is (D)

Step-by-step explanation:

We have given,

6x^{2} +40=-31x

we can rewrite this equation in the form given as:

6x² + 40 + 31x = 0

or 6x² + 31x + 40 = 0

On solving this quadratic equation, we get :

x = -\frac{5}{2} and -\frac{8}{3}

That means, given equation have two solutions.

Right option is (D)

8 0
3 years ago
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Find the future value of 575 at 5.5% compounded quarterly for 5 years. Round to the nearest cent
Readme [11.4K]

Answer:

Future value = $755.61 ( to the nearest cent)

Step-by-step explanation:

The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:

FV = PV (1+\frac{r}{n} )^{n*t}

where:

FV = future value = ???

PV = present value = $575

r = interest rate in decimal = 5.5% = 0.055

n = number of compounding periods per year = quarterly = 4

t = time of investment = 5 years

∴ FV = 575 (1+\frac{0.055}{4} )^{4*5}

FV = 575 (1+0.01375)^{20}\\FV = 575 (1.01375 )^{20}\\FV = 575 * 1.3141\\FV = 755.607

∴ Future value = $755.61 ( to the nearest cent)

4 0
3 years ago
What is the sum of the roots of the polynomial shown below?<br> f(x) = 3r?+ 12x² + 3x - 18
densk [106]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Given the following diagram, find the missing measure.<br>*​
BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$2x^\circ=\frac{4}{3}x^\circ+20^\circ

Subtract \frac{4}{3}x^\circ on both sides of the equation.

$2x^\circ-\frac{4}{3}x^\circ=20^\circ

To make the denominator same and then subtract.

$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ

$\frac{2}{3}x^\circ =20^\circ

Multiply by \frac{3}{2} on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0
3 years ago
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