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3 years ago

What number is 4 hundreds,8 tens,and 13 ones

Mathematics

2 answers:

Xelga [282]3 years ago

6 0

400+80+13 = 493 is the number.

Anni [7]3 years ago

6 0

That number is 493

:) :) :)

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Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all

liubo4ka [24]

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

4 0

3 years ago

Which statements are true about the trigonometric ratios of this triangle

rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(30°) = $\frac{AC}{AB}$

= $\frac{11\sqrt{3} }{22}$

= $\frac{\sqrt{3}}{2}$

sin(30°) = $\frac{BC}{AB}$

= $\frac{11}{22}$

= $\frac{1}{2}$

cos(60°) = $\frac{BC}{AB}$

= $\frac{11}{22}$

= $\frac{1}{2}$

sin(60°) = = $\frac{AC}{AB}$

= $\frac{11\sqrt{3} }{22}$

= $\frac{\sqrt{3}}{2}$

Options (1), (2), (3) and (4) are the correct options.

3 0

2 years ago

A gardener needs to move 2,782 pounds of dirt. He can carry 96 pounds in his wheelbarrow. How many trips will he need to make wi

svp [43]

Answer:

28.9

Step-by-step explanation:

2782 divied by 96 gives you 28.9.

7 0

3 years ago

A man pays only $60 for an item which originally sells for $100. What percent of the original price does the man pay for the ite

Anni [7]

Answer: 40%. Alternatively, you can think about it this way. The item is 40% off. This means you'll pay 60.000% of the total cost (100% - 40% = 60.000%).

4 0

3 years ago

Read 2 more answers

Please help me with this homework question. No silly answers please and no bots! I will mark brainliest to whoever gets all them

MatroZZZ [7]

Answer:

The formula for the area of the triangle is:

$\displaystyle A=24x^2$

When x = 3, the area is 216 square centimeters.

When x = 2.4, the area is 138.24 square centimeters.

And when x = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8x and a base of 6x.

The area of a triangle is given by the formula:

$\displaystyle A=\frac{1}{2}bh$

So, by substitution:

$\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2$

When x = 3, the area will be:

$\displaystyle A(3)=24(3)^2=216\text{ cm}^2$

And when x = 2.4, the area will be:

$A(2.4)=24(2.4)^2=138.24\text{ cm}^2$

When x = 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

$a^2+b^2=c^2$

So:

$(40)^2+(30)^2=c^2$

The hypotenuse will be:

$c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}$

3 0

2 years ago