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Andreas93 [3]
2 years ago
11

Which of the following accurately compare 15-√105 and 5?

Mathematics
2 answers:
Vlad [161]2 years ago
7 0
The answer is c. I hope that helps
Afina-wow [57]2 years ago
6 0

Answer:  The correct option is

(C) \sqrt{105} is slightly greater than 10,  so 15-\sqrt{105} is less than 5.

Step-by-step explanation:  We are given to select the correct statement that accurately compare 15-\sqrt{105} and 5.

We have

\sqrt{105}=10.2469,

so, we get

15-\sqrt{105}=15-10.2469=4.7531.

Since 4.7531 < 5, so

15-\sqrt{105}

Therefore, \sqrt{105} is slightly greater than 10,  so 15-\sqrt{105} is less than 5.

Thus, the correct option is (C).

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In radian measure, the angles of a 30-60-90 triangle are;
blagie [28]
We know that
180 degrees is equal to pi radians
so
for 30 degrees
180°--------> pi radians
30°--------> x
x=30*pi/180------> x=pi/6 radians

for 60 degrees
180°--------> pi radians
60°--------> x
x=60*pi/180------> x=pi/3 radians

for 90 degrees
180°--------> pi radians
90°--------> x
x=90*pi/180------> x=pi/2 radians

the answer is the option c
pi/6,pi/3,pi/2


7 0
2 years ago
Cora is playing a game that involves flipping three coins at once. Let the random variable HHH be the number of coins that land
arlik [135]

Answer:

0.875

Step-by-step explanation:

P(H=0) = 0.125

P(H=1) = 0.375

P(H=2) = 0.375

P(H=3) = 0.125

P(H<3) = P(H=0) + P(H=1) + P(H=2)

P(H<3) = 0.125 + 0.375 + 0.375

P(H<3) = 0.875

4 0
2 years ago
Read 2 more answers
O is the centre of the circle, EF is a tangent, angle BCE=28 degrees, angle ACD=31 degrees.
Yuki888 [10]

Answer:

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

a. because angle between tangent and chord is equal to the angle(s) in alternate segment.

b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚

c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚

d. 28*2=56˚ because angles at circumference are half angles at centre

4 0
2 years ago
A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines
nevsk [136]

Answer:

(A) The residents of Belmont are more likely to use public transportation because the city has the highest population density.

Step-by-step explanation:

correct on edge

7 0
2 years ago
A printer can print 12 pages in 9 seconds. What is the closest estimate of the
ExtremeBDS [4]

Answer:

72

Step-by-step explanation:

there are 60 seconds in a minute so about 6 9 seconds in a minute. then there is 12 pages per 9 seconds and since there is 6 9 seconds then you can just multiply 6 by 9 to get the answer 72

5 0
2 years ago
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