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irinina [24]
3 years ago
12

Suppose right triangle ABC has one acute angle 47º. Suppose also that right triangle DEF has an acute angle 43º. How are triangl

es ABC and DEF related?
Mathematics
2 answers:
Digiron [165]3 years ago
4 0
Its very simple 
47 and 43 are related because its an acute angle
Over [174]3 years ago
3 0
We notice that 47+43=90
we know that all angles are adding to 180
since they are both right triangles, one angle is 90
therefor the angles of both triangles are 47,43,90
that means the triangles are similar and their sides are in the same ratio

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What's the answer please help
boyakko [2]
You don't need the apothem if the side length is known, the area can be expressed as:

A(n,s)=ns^2/(4tan(180/n)), n=number of sides and s=side length so

A(7,28)=(7*28^2)/(4tan(180/7))

A≈2848.987 ft^2

A≈2849 ft^2  (to the nearest tenth of a square foot)
6 0
3 years ago
Solve h = −16t2 + 36t + 4.
kvasek [131]
I can do each of the things I asked above.
So, let's change this into vertex form:
h=-16t^2+36t+4
h=(-16t^2+36t)+4
h=-16(t^2-2.25t)+4
h=-16(t^2-2.25t+1.27-1.27)+4
h=-16(t^2-2.25t+1.27)+20.32+4
h=-16(t-1.125)^2+24.32
The vertex is at (1.125,24.32)
<span>Answers may vary due to rounding

</span>Factored Form:
h = -16t^2 + 36t + 4
h = -4\left(4t^2-9t-1\right)

Quadratic Formula:
x =  \frac{-b +/- \sqrt{b^2-4(a)(c)}}{2a}
<span>h = -16t^2 + 36t + 4
</span>a = -16 b = 36 c = 4
h = \frac{-(36) +/- \sqrt{(36)^2-4(-16)(4)}}{2(-16)}
h = \frac{-36 +/- \sqrt{1552}}{-32}
h = ≈-0.11
h = ≈2.36

5 0
3 years ago
Which of the following options is a better purchase for a bicycle? Option 1: A cash sale for $88
stellarik [79]

<u><em>Answer:</em></u>

Option 3

<u><em>Explanation:</em></u>

<u>To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:</u>

<u>i- Option 1:</u>

Total cost = $88

<u>ii- Option 2:</u>

$5 down payment and $8 per week for 10 weeks

Total cost = 5 + 8(10) = 5 + 80 = $85

<u>iii- Option 3:</u>

$12 down payment and $5 per month for 12 months

Total cost = 12 + 5(12) = 12 + 60 = $72

<u>iv- Option 4:</u>

$20 down payment and $20 per month for 12 months

Total cost = 20 + 20(12) = 20 + 240 = $260

<u>Now, from the above calculations, we can conclude that:</u>

The best price would be that of option 3 ($72). It is the lowest price compared to other option.

Hope this helps :)

3 0
3 years ago
Read 2 more answers
What is the mean absolute deviation of the data set?<br><br> {0, 0, 0, 5, 0}
Rufina [12.5K]

Answer:

i dont understand...the meaning?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
there are 270 at Colfax Middle School, where the ratio of boys to girls is 5:4. there are 180 students at Winthrop Middle School
ruslelena [56]

Colfax:

Add the ratio numbers together:

5 + 4 = 9

Divide total students by that:

270 / 9 = 30

Multiply each ratio by 30:

Boys = 30 *5 = 150

Girls = 30 * 4 = 120


Do the same for Winthrop:

4 +5 = 9

180 /9 = 20

Boys = 20 * 4 = 80

Girls = 20 * 5 = 100


Total students = 270 + 180 = 450

Total Girls = 120 + 100 = 220


Fraction that are girls = 220 / 450 which reduces to 22/45

4 0
3 years ago
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