Which expression(s) represent(s)®3 times the sum of sand 4"?

Of 50 students surveyed, 19 said they had soda for breakfast. write a portion in fraction, decimal, percent

Naya [18.7K]

Answers:
___________________________
In fraction: $\frac{19}{50}$ .
___________________________
In decimal: 0.38 .
_________________
In percent: 38 % .
_________________
Explanation:
_________________
19/50 = (19*2)/(50*2) = 38/100 .

38/100 = 38 ÷ 100 = 0.38 .

38/100 = 38 % .
___________________________

7 0

3 years ago

In figure find the area of the red part.

larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45° as AE is diagonal of Square of side 4

=> ∠AEF + 180° - 2α + 45° = 180°

=> ∠AEF = 2α - 45° = 8.13°

in Left side area between square and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area between square and circle = 4² - (1/4)π4²

= 3.4336 sq unit

half = 1.7168 sq unit

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF

AE = 4√2 , EF = 4 angle = 8.13°

area ΔAEF = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area sector EGF = (8.13/360)π4² = 1.135 sq unit

area AFG = 1.6 - 1.135 = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252 sq unit

= 1.25 sq unit.

Hope this helps!!

5 0

2 years ago

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How to change base of logarithms: Best answer gets 27 points and brainliest answer

AlekseyPX

Answer:

1/3

Step-by-step explanation:

To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9 (3^(1/3) /3)

log3 ((3^(1/3) /3))

-------------------------

log3 (1/9)

Log a /b = log a - log b

and 1/9 = 3^-2

log3 ((3^(1/3) ) - log3 (3)

-------------------------

log3 (3^-2)

log a^b = blog a

1/3 log3 (3 ) - log3 (3)

-------------------------

-2log3 (3)

We know log3 (3) =1

1/3 (1) - 1

-------------------------

-2 (1)

1/3 - 1

-------------------------

-2

-2/3

------

-2

Copy dot flip

-2/3 * -1/2

1/3

6 0

3 years ago

One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for

Marat540 [252]

Answer:

B.

Step-by-step explanation:

f(x) has two complex roots and one real root.

8 0

2 years ago

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Angelique draws triangle GHK. If A.1.2 or 5.7<br> B.2.2 or 4.7<br> C.4.7<br> D.5.7

makvit [3.9K]

The correct question in the attached figure

we know that

applying the law of sines
g/sinG=k/sinK

g=3 units
G=30°
k=4 units
K=?
so
g/sinG=k/sinK------> g*sinK=k*sinG-----> sinK=k*sinG/g
sinK=4*sin 30°/3-----> 2/3
K=arc sin(2/3)-------> K=41.81°

case 1)
for angle K=41.81°
the sum of the angles (H +G+K)=180°
H=180-(G+K)------> 180-(30+41.81)--------> H=108.19°

h/sinH=g/sinG-------> h=g*sinH/sinG------> h=3*sin 108.19°/sin 30°
h=5.70 units

case 2)
for angle K=180°-41.81°---------> K=138.19°
the sum of the angles (H +G+K)=180°
H=180-(G+K)------> 180-(30+138.19)--------> H=11.81°

h/sinH=g/sinG-------> h=g*sinH/sinG------> h=3*sin 11.81°/sin 30°
h=1.2 units

therefore

the answer is the option
<span>A. 1.2 or 5.7</span>

7 0

3 years ago

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