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3 years ago

8

Justin earned 8 badges in Scouts. Justin wants to complete 2 more badges so that he will have a total of 10 badges. If Justin co

mpletes the additional 2 badges,what will the percent increase in badges? Show work please

1 answer:

TiliK225 [7]3 years ago

4 0

$\frac{10 \times 100\%}{8} = 125\% \\ \Rightarrow Increased \: 25\%$

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Find the value of b.

Nesterboy [21]

Answer: $230^{\circ$

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume $\overline{AB}$ and $\overline{BC}$ are tangents to the circle.

$\overline{BO} \cong \overline{BO}$ (reflexive property)
$\overline{AB} \cong \overline{BC}$ (tangents drawn from a common external point are congruent)
$\angle BAO \cong \angle BCO$ (right angles are congruent)

Therefore, we know $\triangle ABO \cong \triangle CBO$ by HL.

Thus, by CPCTC,

$\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}$

This means the measure of minor arc AC is $130^{\circ}$ , and thus $b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}$

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1 year ago

Goshia [24]

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

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2 years ago

What is 0.00078 in scientific notation?

frozen [14]

Answer: 7.8 x 10^-4

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2 years ago

There are 120 boys in Morris middle school. What is the total number

AnnZ [28]

Answer:

121

Step-by-step explanation:

trust me i got you wuth that 2016 throwback

8 0

2 years ago

Read 2 more answers

Plss help!<br>Question: Find a,b and c

Roman55 [17]

Answer:

See below, please

Step-by-step explanation:

The right：

${(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba =$

$= {y}^{2} - bx + 2cy + {c}^{2} - ab$

The left:

$= {y}^{2} - 7x - 18y + 109$

So, after comparing the right side and the left side of this equation, we know

1)

$b = 7$

2)

$2c = - 18 \\ so \\ c = - 9$

3)

${c}^{2} - ab = 109$

So,

$a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4$

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2 years ago