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Pavlova-9 [17]
3 years ago
12

7298,341 rounded to the nearest 10,000

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0
7,300,000 should be correct




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I need to know the improper fractions answers for:
zmey [24]

Answer:

Part 1) x=\frac{15}{2}\ units

Part 2) z=\frac{15\sqrt{3}}{2}\ units

Part 3) y= \frac{15\sqrt{3}}{4}\ units

Part 4) b= \frac{45}{4}\ units

Step-by-step explanation:

step 1

Find the value of x

In the large right triangle

cos(60^o)=\frac{x}{15} ----> by CAH (adjacent side divided by the hypotenuse)

Remember that

cos(60^o)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{x}{15}

solve for x

x=\frac{15}{2}\ units ---> improper fraction

step 2

Find the value of z

In the large right triangle

Applying the Pythagorean Theorem

15^2=x^2+z^2

substitute the value of x

15^2=(\frac{15}{2})^2+z^2

solve for z

z^2=15^2-(\frac{15}{2})^2

z^2=225-\frac{225}{4}

z^2=\frac{675}{4}

z=\frac{\sqrt{675}}{2}\ units

simplify

z=\frac{15\sqrt{3}}{2}\ units

step 3

Find the value of y

In the right triangle of the right

sin(30^o)=\frac{y}{z} ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values of y and z

Remember that

sin(30^o)=\frac{1}{2}

so

\frac{1}{2}=y:\frac{15\sqrt{3}}{2}

solve for y

\frac{1}{2}= \frac{2y}{15\sqrt{3}}

y= \frac{15\sqrt{3}}{4}\ units

step 4

Find the value of b

In the right triangle of the right

cos(30^o)=\frac{b}{z} ---> by CAH (adjacent side divided by the hypotenuse)

substitute the given values of y and z

Remember that

cos(30^o)=\frac{\sqrt{3}}{2}

so

\frac{\sqrt{3}}{2}=b:\frac{15\sqrt{3}}{2}

solve for y

\frac{\sqrt{3}}{2}= \frac{2b}{15\sqrt{3}}

b= \frac{45}{4}\ units

7 0
3 years ago
Lindsay earn $7.65 per hour.Her boss has promised her a 7% raise next month. If she works 40 hour per week, how much will she ea
zzz [600]

Answer:

She would make $327.60 each week after the raise

Step-by-step explanation:

First we need to find how much she will make per hour. We can do this by multiplying the per hour rate by the percentage of the raise.

$7.65 * 7% = $0.54

Now we add this amount to the previous hourly rate.

$7.65 + $0.54 = $8.19

Now that we have the new hourly rate, we multiply it by the number of hours that she works.

$8.19 * 40 = $327.60

8 0
3 years ago
in the given diagram, which of the following can you use to prove that triangle ABC is an isosceles triangle?
ryzh [129]
If the triangle has two congruent sides.
5 0
3 years ago
Frodo ran 2 1/5 miles in 7/12 of an hour. How many miles can Frodo run in one hour?
iVinArrow [24]

Answer:

\frac{132}{35}

Step-by-step explanation:

In \frac{7}{12} of an hour, Frodo ran 2\frac{1}{5} miles

                                         = \frac{11}{5}

So,

Multiplying both sides by \frac{12}{7} , we get,


In \frac{7}{12}*\frac{12}{7} hour, Frodo ran \frac{11}{5}*\frac{12}{7}

                                         = \frac{132}{35} miles

4 0
3 years ago
Choose the definition for the function.
Yuki888 [10]

Answer:

The definition for the all functions is 86

8 0
3 years ago
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