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lys-0071 [83]
3 years ago
5

Aiutami con la mia matematica

Mathematics
1 answer:
KiRa [710]3 years ago
6 0
The first one is 37.5
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What is the length of the altitude of the equilateral triangle below?
Mice21 [21]
B. 3 √3

The shortcuts for a 30 60 90 triangle is that the:

Hypotenuse is 2 times the short leg

The long leg is √3 times the short leg.

Making it 3 √3

Another way is by the Pythagorean Theorem.

a^2+b^2=c^2

3^2+b^2=6^2

9+b^2=36

Subtract 9 from both sides

b^2=27

Square root both sides

b=5.2 or the √27

√27 can be simplified more

An equation that equals to 27 that has a perfect square is 9*3


√9* √3

The perfect square of 9 equals to 3

So 3 √3
4 0
2 years ago
What is the value of m(7+9)n, when m = 0.5 and n = 2?
stepladder [879]

Answer:

16

Step-by-step explanation:

Plug things in then use PEMDAS:

m * (7+9) * n

= 0.5 * (7+9) * 2

= 0.5 * 16 * 2

= 16

4 0
2 years ago
Read 2 more answers
Can someone help me with this thanks ​
Ugo [173]

The length of the brace required is 4.3m

What is sine rule?

In a ΔABC a, b and c are the sides and A, B and C are angles then,

\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}

We can find the length, l as shown below:

Let AB=3m, BC=2m and AC=l

Let ∠A=25°

So, in ΔABC

\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}

\frac{BC}{sinA}=\frac{AB}{sinC}

\frac{2}{sin25}=\frac{3}{sinC}

\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )

∠C=39.34°

∠A+∠B+∠C=180°

∠B=180°-25°-39.34°

∠B=115.66°

\frac{BC}{sinA}=\frac{AC}{SinB}

\frac{2}{sin25}=\frac{l}{sin(115.66)}

l=\frac{2\times sin(115.66)}{sin25}

l=4.2659

Rounding to nearest tenth of meter.

l=4.3m

Hence, the length of the brace required is 4.3m

Learn more about Sine Rule here:

brainly.com/question/25852087

#SPJ1

8 0
1 year ago
110.94 as a percentage
-BARSIC- [3]

Answer:

Hey! I believe this is your answer:

11094%

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
1) The deer population in a national park is expected to decline over time. The park
Lorico [155]

Answer:

Here's what I find.

Step-by-step explanation:

You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.

a) i) The recursive formula

Let dₙ = the deer population n years after the initial measurement.

d_{n} = d_{n - 1}r^{n}

For this situation,

d_{n} = d_{n - 1}(0.5)^{n}

a) ii) Definitions

n = the number of years from first measurement

r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.

a) iii) First term of sequence

The first term of the sequence is d₀, the population when first measured.

b) The function formula

The formula for the nth term of a geometric series is

d_{n} =d_{0}r^{n - 1}

c) Value of d₀

Let n = 2; then d₂ = 800

\begin{array}{rcl}800 & = & d_{0}(0.5)^{2 - 1}\\800 & = & d_{0}(0.5)\\\\d_{0} & = & \dfrac{800}{0.5}\\\\& =&\mathbf{1600}\\\end{array}

4 0
3 years ago
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