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baherus [9]
3 years ago
15

If today’s UV index is 8, Erin will burn in 15 minutes without sunscreen. If Erin puts on lotion with an SPF of 25, how long wil

l she be protected?
The time it takes to burn without sunscreen multiplied by the SPF, or sun protection factor, is the time you can stay in the sun safely with sunscreen.
Mathematics
1 answer:
yan [13]3 years ago
4 0

Today’s UV index is = 8

Erin will burn in = 15 minutes

Since, its given"The time it takes to burn without sunscreen multiplied by the SPF, or sun protection factor, is the time you can stay in the sun safely with sunscreen"

= 25\times15=375

So, Erin will be protected for 375 minutes.




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Triangle $ABC$ has a right angle at $B$. Legs $\overline{AB}$ and $\overline{CB}$ are extended past point $B$ to points $D$ and
Lisa [10]

Answer:

Given :

ABC is a right triangle in which ∠ABC = 90°,

Also, Legs AB and CB are extended past point B to points D and E,

Such that,

\angle EAC = \angle ACD = 90^{\circ}

To prove :

EB\times BD=AB\times BC

Proof :

In triangles AEC and EBA,

∠EAC= ∠ABE ( right angles )

∠CEA = ∠AEB ( common angles )

By AA similarity postulate,

\triangle AEC \sim \triangle EBA,

Similarly,

\triangle AEC \sim \triangle ABC

\implies\triangle EBA\sim \triangle ABC-----(1)

Now, In triangles ADC and CBD,

∠ACD = ∠CBD ( right angles )

∠ADC= ∠BDC ( common angles )

By AA similarity postulate,

\triangle ADC \sim \triangle CBD,

Similarly,

\triangle ADC \sim \triangle ABC

\implies \triangle CBD\sim \triangle ABC-----(2)

From equations (1) and (2),

\triangle EBA\sim \triangle CBD

The corresponding sides of similar triangles are in same proportion,

\frac{EB}{BC}=\frac{AB}{BD}

\implies EB\times BD=AB\times BC

Hence, proved....

5 0
3 years ago
What is your debt ratio? If you budget $375 to payoff your credit card debt and you payoff the highest interest card first while
irga5000 [103]
The debt ratio on the Murk is 45% 
<span>The debt ratio on the Mini is 90% </span>
<span>The average between the two is 63% </span>

<span>Payoff are estimates only. Paying $375/mo with the highest interest rate first will have the Mini @ $50/mo paid off by Jul 2016 and the Murk @ $326/mo paid off by Sep 2016. What you'll do is pay the minimum on the lowest interest rate card and apply the remainder of the $375 budget to the highest interest rate card. When the Mini is paid off, combine that payment with the Murk and continue wit the $375 payments.</span>
4 0
4 years ago
When factoring 8x + 12y - 24, the biggest factor will be 4? True or False?
podryga [215]
True, the biggest factor will be 4 :)
3 0
3 years ago
Which of the following are solutions to the equation below?
nalin [4]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve the given equation ~

\qquad \tt \dashrightarrow \:4 {x}^{2}  + 20x + 25 = 49

\qquad \tt \dashrightarrow \:4 {x}^{2}  + 20x + 25  -  49 = 0

\qquad \tt \dashrightarrow \:4 {x}^{2}  + 20x - 24 = 0

\qquad \tt \dashrightarrow \:4( {x}^{2}  + 5x - 6) = 0

\qquad \tt \dashrightarrow \: {x}^{2}  + 5x - 6 = 0

\qquad \tt \dashrightarrow \: {x}^{2}  + 6x - x - 6 = 0

\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0

\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0

Hence, we get -6 and 1 as our roots ~

So, the correct choices are : B and D

3 0
2 years ago
What is the reciprocal of -11/30 in a fraction
VMariaS [17]

Answer:

30/-11

Step-by-step explanation:

u just have to flip it good luck : )

7 0
3 years ago
Read 2 more answers
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