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2 years ago

Help will mark brainlyest

Mathematics

2 answers:

Karolina [17]2 years ago

7 0

Answer:

4x - 3

5x - 3

Step-by-step explanation:

m∠BEC = (2x+3)
when x = 30°
m∠BEC → (2(30)+3) → 63°

m∠AED = (360-2(63))/2

m∠AED = 117°

solve for first:

(4x - 3)

(4(30) - 3)

117° ............matches.

solve for third:

5x - 33

5(30) - 33

117° ........matches

Hence the first option and third is correct. rest two are wrong.

Naily [24]2 years ago

5 0

Step-by-step explanation:

BEC is 63° so aed is 4x - 3 I'm ps

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Elise is a project manager.

KengaRu [80]

$\text{In 2016, Elise earned a monthly salary of }\pounds 2100\\
\text{and in 2017, she earned a }3\% \text{ pay increase on her monthly salary.}\\
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\text{now given that in 2017 Elise worked 42 hours per week for 45 weeks.}\\
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3 years ago

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Sela has 6 times as many coins as she had 4 months ago. If sela has 240 coins now ,How many coins did she have 4 months ago.

saw5 [17]

She has 40 coins since 40 times 6 is 240.

5 0

3 years ago

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- 2/3 (x+12)+2/3 x=-5/4 x+2

bogdanovich [222]

We will have the following:

$-\frac{2}{3}(x+12)+\frac{2}{3}x=-\frac{5}{4}x+2\Rightarrow-\frac{2}{3}x-8+\frac{2}{3}x=-\frac{5}{4}x+2$ $\Rightarrow-\frac{2}{3}x+\frac{2}{3}x+\frac{5}{4}x=2+8\Rightarrow\frac{5}{4}x=10$ $\Rightarrow5x=40\Rightarrow x=8$

So, the value of x is 8.

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1 year ago

Tariq also designs hot tubs. The diameter of the hot tub

svetlana [45]

Answer:

The area of the deck that surrounds the hot tub is 17.9 m².

Step-by-step explanation:Base of deck = 5 m

Height of deck = 5 m

Area of deck = base*height

= 5*5

= 25 m²

A circular hot tub is placed in the deck whose diameter is 3 m.

Radius = diameter/2

= 1.5 m

Area of the circular hot tub = πr²

= 3.14*(1.5*1.5)

= 7.07 m²

Area of the deck that surrounds the hot tub = Area of deck - Area of tub

= 25 - 7.07

= 17.93 m²

= 17.9 m²

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3 years ago

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Please help!! 20 POINTS

shepuryov [24]

<h2>Hello!</h2>

The answers are:

First image:

The answer is the second option, the angles is $53\°$

Second image:

The answer is the third option:

$\frac{5}{13}$

Third image:

The length of the adjacent leg is the first option:

$8\sqrt{2}units$

Fourth image:

The answer is the fourth option, $72\°$

Fifth image:

The answer is the fourth option, DF (hypothenuse) is equal to 25 units.

To solve these problems, we need to use the following trigonometric identities and the Pythagorean Theorem, since we are working with right triangles.

$Tan(\alpha)=\frac{y}{x}\\\\(Tan(\alpha))^{-1} =(\frac{y}{x})^{-1}\\\\\alpha =Arctan(\frac{y}{x})$

$Sin(\alpha)=\frac{opposite}{hypothenuse}$

Pythagorean Theorem:

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

So, solving we have:

First image:

We are given a right triangle that has the following lengths:

$base=x=6units\\height=y=8units\\hypothenuse=10units$

Then, calculating we have:

$\alpha =Arctan(\frac{y}{x})\\\\\alpha =Arctan(\frac{8}{6})\\\\\alpha =Arctan(1.33)\\\\\alpha =53\°$

Hence, the answer is the second option, the angles is $53\°$

Second image:

We are given a right triangle that has the following lengths:

$base=x=12units\\height=y=5units\\hypothenuse=13units$

Then calculating the sin ratio, we have:

$Sin(\alpha)=\frac{opposite}{hypothenuse}$

$Sin(\alpha)=\frac{5}{13}$

Thence, the answer is the third option:

$\frac{5}{13}$

Third Image:

We are given the following information:

$hypothenuse=16units\\\\\alpha =45\°$

Then, calculating one of the angle legs, since both will have the same length, using the sine trigonometric identity, we have:

$Sin(\alpha)=\frac{Opposite}{Hypothenuse}\\ \\Sin(45\°)=\frac{Opposite}{16}\\\\Opposite=Sin(45\°)*16\\\\Opposite=\frac{\sqrt{2} }{2}*16=8\sqrt{2}$

Hence, the answer is the first option the length of the adjacent leg is

$Opposite=\frac{\sqrt{2} }{2}*16=8\sqrt{2}units$

Fourth image:

We are given the following information:

$base=x=9units\\height=y=3units$

To calculate the angle at the B vertex, first, we need to calculate the angle at the C vertex, and then, calculate the B vertex by the following way:

Since the sum of all the interior angles of a triangle are equal to 180°, we have that:

$180\°=Angle_{B}+Angle{C}+90\°$

$Angle_{B}=180\° -90\°-Angle_{C}$

So, calculating the angle at the C vertex, we have:

$\alpha =Arctan(\frac{y}{x})$

$\alpha =Arctan(\frac{3}{9})$

$\alpha =Arctan(0.33)=18.26\°$

Then, calculating the angle at the B vertex, we have:

$Angle_{B}=180\° -90\°-18.26\°=71.74\°=71.8\°=72\°$

Hence, the answer is the fourth option, $72\°$

Fifth image:

We are given the following information:

$base=x=24units\\height=y=7units$

Now, to calculate the distance DF (hypothenuse) we need to use the Pythagorean Theorem:

$c^{2}=a^{2} +b^{2} \\\\hypothenuse^{2}=adjacent^{2}+opposite^{2}\\\\\sqrt{hypothenuse^{2}}=\sqrt{adjacent^{2}+opposite^{2}}\\\\hypothenuse=\sqrt{adjacent^{2}+opposite^{2}}$

Then, substituting we have:

$hypothenuse=\sqrt{24^{2}+(7)^{2}}$

$hypothenuse=\sqrt{576+49}=\sqrt{625}$

$hypothenuse=\sqrt{625}$

$hypothenuse=25units$

Hence, the answer is the fourth option, DF (hypothenuse) is equal to 25 units.

Have a nice day!

4 0

3 years ago