All categories

1 year ago

Find m∠I. Put the answer below. m∠I =

Mathematics

1 answer:

pashok25 [27]1 year ago

5 0

Answer:

The answer is 68°

Step-by-step explanation:

<h3><u>Given</u>;</h3>

A right angled-triangle IGH.
where, m∠G = 90°

m∠I = ?

We know that

tan θ = Opp ÷ Adj

tan θ = 5 ÷ 2

tan θ = 2.5

tan θ = 68.2 ≈ 68

We know that tan 68 = 2.5

Thus, The m∠I is 68°

<u>-TheUnknownScientist 72</u>

You might be interested in

Will is asked to simplify the expression below. 7x - 2(x + 3y) + 3y He states that the simplified expression is 5x + 9y because

galina1969 [7]

Answer: See explanation

Step-by-step explanation:

7x - 2(x + 3y) + 3y

= 7x - 2x - 6y + 3y

= 5x - 3y

Will got 5x + 9y because he didn't multiply the values in the bracket by the minus sign outside the bracket. He multiplied the values by +2 rather than -2. This resulted in the wrong answer that he got.

4 0

2 years ago

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess

maxonik [38]

Answer:

Total weight of the wheat placed on 45th square will be = $1.26\times 10^{6}tons$

Step-by-step explanation:

King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.

In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.

We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)

In a geometric progression we know the nth term = $a(r^{n-1})$

where a = first term of the series, r = common ratio, n = number of terms

Now we have to calculate the weight of all wheat placed on 45th square.

So we will put the values in the given formula 45th term =

$1\times (2^{45-1})$ = $2^{44}$ = $1.76\times 10^{13}$

Then the weight of wheat will be = $2.51\times 10^{9}pounds$ = $1.26\times 10^{6}tons$

7 0

2 years ago

Sasha packed unit cubes into a prism, as shown. Which statement about the volume of the box is true.

Zina [86]

Answer:

The answer is " The volume is greater than 50 cubic units "

Step-by-step explanation:

In this question, the value of the units and figure is missing that's why its solution can be defined as follows:

Let's the unit value =50 and please find the figure in the attachment file.

The given figure shows its box is not filled with 50 cubes. These were ten empty places where cubes could be placed.

This figure indicates that only the box size will be four units per five units per three units, so they realize it will be in...

$\to (4 \times 5 \times 3) \ units^3 = 60 \ units^3$

That's why the volume value exceeds 50 cubic units.

6 0

2 years ago

If d= the number of dogs, which variable expression represents the phase below the sum of the number of dogs and the 6 cats

TEA [102]

although none of these are right, C would make the most sense

6 0

3 years ago

Read 2 more answers

HURRY UP PLEASE !!

IRISSAK [1]

Answer:

<h2>The x-interecepts are 5.6 and -1.4, approximately.</h2>

Step-by-step explanation:

The given equation is

$5x^{2} -21x=39$

Where $a=5$ , $b=-21$ and $c=39$ , let's use the quadratic formula

$x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\ x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4$

Therefore, the x-interecepts are 5.6 and -1.4, approximately.

7 0

3 years ago