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postnew [5]
4 years ago
11

Evaluate the following expression 1/3^2

Mathematics
1 answer:
NISA [10]4 years ago
6 0

Answer:

1/9

Step-by-step explanation:

1/3*1/3=1/9

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How much times is 1,700,000,000 greater than 400,000,000
Yuri [45]

Answer:

4.25(Divided) or 1,300,000,000(subtracted)

5 0
2 years ago
Belle wants to build a sandbox in the shape of a rectangular prism. She needs the volume of her sandbox to be 18 cubic feet and
ycow [4]

Answer:

9x2x1 and 6x3x1

Step-by-step explanation:

This question has multiple answers to it. A sandbox of 18 cubic feet with a height of a foot is actually quite simple. If it is confusing I would try to visualize the sandbox. Since volume is b x h x w the first thing you should do is divide 18 by 1. This would be more important if the height was more than one. Now you just have to find two other numbers that can divide 18. 9x2=18 and 6x3=18 so two possible dimensions for the sandbox are 9x2x1 and 6x3x1

4 0
3 years ago
The yearly expenses for the Glenn family are represented in the circle graph. The Glenn’s have just purchased a new car. A new c
tiny-mole [99]

Answer:

Car: 18.4% Other: 4.9%

Step-by-step explanation:

Glenn family yearly total expenses are

\$8,600+\$4,800+\$5,400+\$2,400+\$7,000+\$1,800=\$30,000

Other expenses are $7,000.

The payments for the new car are: $375.00 per month and the insurance for the new car $85.00 per month, in total, $460 per month. Yearly expenses for car are

\$460\cdot 12=\$5,520

Now, the expenses for the following two categories are

Car - $5,520

Other - $7,000 - $5,520 = $1,480

Percentage:

Car:

\dfrac{5,520}{30,000}\cdot 100\%=18.4\%

Other

\dfrac{1,480}{30,000}\cdot 100\%\approx 4.93\%

4 0
3 years ago
Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou
Anna35 [415]
For this case we have the following equation:
 3 \sqrt{x+6}=-12
 Rewriting we have:
 \sqrt{x+6}= \frac{-12}{3}
 \sqrt{x+6}=-4
 We raise both members of the equation to the square:
 (\sqrt{x+6})^2=(-4)^2
 Rewriting we have:
 x+6=16
 x=16-6
 x=10
 It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
 3 \sqrt{10+6}=-12
 3 \sqrt{16}=-12
 3(4)=-12
 12=-12
 Answer:
 
The solution is:
 
x=10
 It's a extraneous solution

6 0
4 years ago
Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC . Prove: \triangle ABD \cong \tr
Fofino [41]

Answer:

The Proof for

△ABD ≅ △CBD is below

Step-by-step explanation:

Given:

\overline{AC} \perp \overline{BD}

\overline{BD} \ bisects\  \overline{AC}

AD = CD      .........BD bisect AC

To Prove:

△ABD ≅ △CBD

Proof:

In  ΔABD  and ΔCBD  

BD ≅ BD              ....……….{Reflexive Property}

∠ADB ≅ ∠CDB    …………..{Measure of each angle is 90°( \overline{AC} \perp \overline{BD} )}

AD ≅ CD              ....……….{ \overline{BD} \ bisects\  \overline{AC} }

ΔABD  ≅ ΔCBD   .......….{By Side-Angle-Side Congruence test}  ...Proved

4 0
3 years ago
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