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kow [346]
3 years ago
15

20 points

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

10 months

$500

Step-by-step explanation:

Option 1

  • 300 + 20x, where x is the number of months

Option 2

  • 100 + 40x

Both options reveal same amount:

  • 300 + 20x = 100 + 40x
  • 300 - 100 = 40x - 20x
  • 200 = 20x
  • x = 200/20
  • x= 10 months

Cost of notebook:

  • 300 + 20*10 = 300 + 200 = $500
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It’s worth 10 points if you answer!
Maksim231197 [3]

Answer:

m∠x = 10°

Step-by-step explanation:

Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.

"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.

The ratios are:

sinθ = opposite/hypotenuse

cosθ = adjacent/hypotenuse

tanθ = opposite/adjacent

θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.

In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.

sinθ = opposite/hypotenuse

sinx = CB/AB      Substitute the labels in the diagram

sinx = 4/23      Substitute known values (side lengths)

x = sin⁻¹(4/23)      Isolate 'x'. Use calculator to solve.

x = 10.015....°      Exact answer

x ≈ 10°      Round to the nearest degree

Therefore the measure of angle x (m∠x) is 10°.

8 0
3 years ago
Need help! Does anyone know how to do this type of math? (It's geometry)
mart [117]

Answer:

71

Step-by-step explanation:

<u>refer</u><u> </u><u>the</u><u> attachment</u>

to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that <u>tangents </u><u>which</u><u> </u><u>meet </u><u>at</u><u> the</u><u> </u><u>same</u><u> </u><u>point</u><u> </u><u>are </u><u>equal</u><u> </u><u> </u>that is being said

  • FA=AI=17
  • CH=CG=2.5

since \rm BA=FA+FB and it's given that FA and BA are 17 and 29 FB should be

  • \rm 29=17+FB

therefore,

  • FB=29-17=\boxed{12}

once again by two tangent theorem we acquire:

  • FB=BH=\boxed{12}

As BC=BH+CH,BC is

  • 12+2.5
  • \boxed{14.5}

likewise,AD=AI+DI so,

  • 21=17+DI [AD=21(given) and AI=17 (by the theorem)]

thus,

  • DI=21-17=\boxed{4}

By the theorem we obtain:

  • DI=DG=4

Similarly,DC=DG+CH therefore,

  • DC=4+2.5=\boxed{6.5}

Now <u>finding</u><u> </u><u>the</u><u> </u><u>Perimeter</u><u> </u><u>of </u><u>ABCD</u>

  • P_{\text{ABCD}}=\text{AB+AD+BC+DC}

substitute what we have and got

  • P_{\text{ABCD}}=\text{29+21+14.5+6.5}

simplify addition:

  • P_{\text{ABCD}}=\boxed{71}

hence,

the Perimeter of ABCD is <u>7</u><u>1</u>

4 0
2 years ago
What is 4% of 40 as a percent
Ilia_Sergeevich [38]
<span><span>1/10=10%
</span><span>2/10=20%
</span><span>3/10=30%
</span><span>4/10=<span>40%
does this help</span></span></span>
3 0
3 years ago
Read 2 more answers
How do I write in standard form 700000 + 20000 + 4000 + 500 + 60 + 2
Inga [223]

All you have to do is just bring the numbers that are not zero from each digit.

so in this process, the answer you would get is 724,562.

I hope this helped


5 0
3 years ago
Read 2 more answers
F represents the fee (in dollars) for climbing d meters.
Grace [21]

Answer:

$12

Step-by-step explanation:

when d = 0,  F = 110

when d = 100, F = 110 + (0.12 x 100) = 122

when d = 200, F = 110 + (0.12 x 200) = 134

etc.

Therefore, increase in price for every 100 meters climbed = 134 - 122 = 122 - 110 = 12

3 0
2 years ago
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