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ahrayia [7]
3 years ago
11

Pleaseeeeeeeeeeee

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a


a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}

b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}

c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}

Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}

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Question options:<br><br> A.)7 <br>B.)503 <br>C.)6 <br>D.)5
gavmur [86]

Answer:

x=6

Step-by-step explanation:

We can use ratios to determine the value of x

x           9

------ = ----------

10          15

Using cross products

15x = 9*10

15x = 90

Divide each side by 15

15x/15 =90/15

x = 6

3 0
3 years ago
Read 2 more answers
The approximate value of 400,000 multiplied by 200
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The length of a rectangle is 6 m more than twice the width. if the area of the rectangle is 140m^2, find the dimensions
Yuliya22 [10]
Length(l)= 2w+6
Width(w)= w
Area(A)= 140 m²
Area= l*w
140 = l*w
140= (2w+6)w
140= 2w²+6w( divide each side by 2)
70= w²+3w
w²+3w -70= 0
(^^^^^^Factor out expression)
(w-7)(w+10)= 0 (set each expression equal to zero and use the positive answer as the value for "w"(because a negative width is impossible))

w-7=0
w=7m

w+10=0
w= -10m (Impossible for a physical measurement to negative: therefore This "w" value is incorrect)

Use w=7 to find "l"
l= 2w+6
l=2(7)+6
l=14+6
l=20 m

Answer:
The dimensions of a rectangle are length and by width. For this rectangle the dimensions are 20 meters by 7 meters.
(width= 7 meters)
(length= 20 meters)


4 0
3 years ago
The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.
deff fn [24]

Answer: 12 inches

Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.

So the length of the median of the trapezoid is 12 inches.

6 0
3 years ago
The length of the shadow of an office building is 35 feet. At the same time of the day, Donovan Mitchell, who is 6.1 feet tall,
Vadim26 [7]

Answer:

175

Step-by-step explanation:

35 times 5 is 175

Hope This Helped

4 0
2 years ago
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