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3 years ago

Evaluate ( 4 upon 3 ) -2please amswer fast

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

<h2><u>Solution</u></h2>

$\frac{4}{3} - 2 \\ \\ = \frac{4 - 6}{ 3} \\ \\ = \frac{ - 2}{3}$

<h3>Hope This Helps You ❤️</h3>

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SOMEONE PLEASE HELP ME! I have a few of the explanations but I'm not sure if I need more please suggest some thank you

lesantik [10]

Answer:

For tingle #1

We can find angle C using the triangle sum theorem: the three interior angles of any triangle add up to 180 degrees. Since we know the measures of angles A and B, we can find C.

$C=180-(A+B)$

$C=180-(21.24+27.14)$

$C=131.62$

We cannot find any of the sides. Since there is noting to show us size, there is simply just not enough information; we need at least one side to use the rule of sines and find the other ones. Also, since there is nothing showing us size, each side can have more than one value.

For triangle #2

In this one, we can find everything and there is one one value for each.

- We can find side c

Since we have a right triangle, we can find side c using the Pythagorean theorem

$b^2=a^2+c^2$

$4^2=2^2+c^2$

$16=4+c^2$

$12=c^2$

$c=\sqrt{12}$

$c=2\sqrt{3}$

- We can find angle C using the cosine trig identity

$cos(C)=\frac{adjacent}{hypotenuse}$

$cos(C)=\frac{2}{4}$

$C=arccos(\frac{2}{4} )$

$C=60$

- Now we can find angle A using the triangle sum theorem

$A=180-(B+C)$

$A=180-(90+60)$

$A=30$

For triangle #3

Again, we can find everything and there is one one value for each.

- We can find angle A using the triangle sum theorem

$A=180-(B+C)$

$A=180-(90+34.88)$

$A=55.12$

- We can find side a using the tangent trig identity

$tan(C)=\frac{opposite-side}{adjacent-side}$

$tan(34.88)=\frac{7}{a}$

$a=\frac{7}{tan(34.88)}$

$a=10.04$

- Now we can find side b using the Pythagorean theorem

$b^2=a^2+c^2$

$b^2=10.04^2+7^2$

$b^2=149.8$

$b=\sqrt{149.8}$

5 0

3 years ago

Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911

nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

$\lambda=\dfrac{1}{2}$

(a) What is the expected number of 911 calls in one hour?

$\lambda=\dfrac{1}{2}\times 60=30$

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

$\lambda=\dfrac{1}{2}\times 5=2.5$

Number of calls = 3

So, P(X=3) is given by

$P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138$

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

$P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820$

Hence, a) 30, b) 0.2138, c) 0.0820

4 0

3 years ago

2×6 <br>euruuryduruhdhdhd

Pachacha [2.7K]

2 x 6 = 12

Hope it helps :)

5 0

3 years ago

Read 2 more answers

Judy is playing a card game. She needs to select two cards below that have a sum greater

Zielflug [23.3K]

Answer:

$2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

$2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

Step-by-step explanation:

Mixed fraction $a\frac{b}{c}$ can be converted into like or unlike fractions.

Here, $a\frac{b}{c} = \frac{ac +b}{b}$

So, convert all the given fractions as follows:

$2\frac{2}{5} = \frac{2(5) +2}{5} = \frac{12}{5} =2.4$

$2\frac{2}{7} = \frac{2(7) +2}{7} = \frac{16}{7} =2.4$

$1\frac{7}{8} = \frac{1(8) +7}{8} = \frac{15}{8} =1.8$

$2\frac{1}{10} = \frac{2(10) + 1}{10} = \frac{21}{10} =2.1$

$2\frac{5}{8} = \frac{2(8) +5}{8} = \frac{21}{8} =2.6$

Here, No Two fractions on addition gives a sum greater than 5.

But an approximate sum of 5 is given by adding 2.4 + 2.6 = 5

⇒ $2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

or ⇒ $2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

7 0

2 years ago

Can someone help me

Deffense [45]

Answer:

w = 10 cm

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = $\frac{1}{2}$ base × height

here base = 6 and height = 8, thus

A = 0.5 × 6 × 8 = 3 × 8 = 24 cm²

The area of the rectangle = 5 × 24 = 120 cm²

area of rectangle = lw ( l is length, w is width )

Here l = 12, thus

120 = 12w ( divide both sides by 12 )

w = 10 cm

8 0

2 years ago

Evaluate ( 4 upon 3 ) -2please amswer fast​

Evaluate ( 4 upon 3 ) -2please amswer fast