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jolli1 [7]
2 years ago
5

In a Sample, 54 out of 75 middle school students said that they are going to the school carnival. Based on this sample, approxim

ately how many of the 750 middle school students are going to the carnival?
Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
5 0

Answer:

540 middle school students.

Step-by-step explanation:

54/75 equals x/750. 75 times 10 equals 750 so 54 times 10 equals 540 middle school students

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An object is dropped from a height of 1000 cm above the ground after t seconds is given by the formula below-
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Hello...im new lol whats up dude
8 0
3 years ago
Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian
777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\B=30^o

Applying the law of sines

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(A)}=\frac{2}{sin(30^o)}

sin(A)=1

so

A=90^o

Find the measure of angle C

In a right triangle

we know that

B+C=90^o ----> by complementary angles

B=30^o

therefore

C=60^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

substitute the given values

\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}

c=2\sqrt{3}\ units

therefore

The dimensions of the triangle are

A=90^o

B=30^o

C=60^o

a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units

<em>Second case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\A=30^o

Applying the law of sines

Find the measure of angle B

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(30^o)}=\frac{2}{sin(B)}

sin(B)=0.25

so

using a calculator

B=14.48^o

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

A=30^o\\B=14.48^o

therefore

30^o+14.48^o+C=180^o

C=135.52^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}

c=5.61\ units

therefore

The dimensions of the triangle are

A=30^o

B=14.48^o

C=135.52^o

a=4\ units\\b=2\ units\\c=5.61\ units

see the attached figure to better understand the problem

4 0
3 years ago
Given the function F (X, Y , Z)=Σm(0,1, 2 , 4 , 6)
Orlov [11]

Answer:

Step-by-step explanation:

F (X, Y , Z)=Σm(0,1, 2 , 4 , 6) mixterms

= π M ( 3, 5, 7 ) maxterms

Please view the remaining part of the solution in the file attached below.

4 0
3 years ago
Which of the following inverse functions are defined for x=-1/2? Select all that apply.
Aleksandr-060686 [28]

Answer:

A, B, E, and F  

Step-by-step explanation:

sinx and cosx are defined for all values of x. So, sin⁻¹x and cos⁻¹x  are also defined for all values of x.  

A and E are correct.

tanx is defined for all values of x.

However, tan(nπ) = 0 at when n is an integer. So, tan⁻¹(±nx) is undefined. However, tan⁻¹(-½x) is defined, because -½ is not an integer.

B and F are correct.

C and D are <em>wrong</em>. Both sec⁻¹x  and csc⁻¹x are undefined when -1 < x < 1, and -½ is in this forbidden region.

4 0
3 years ago
An 18ft ladder leans against a house, reaching a point 14ft above the ground. How far is the foot of the ladder from the bottom
Arisa [49]

Answer: a^2+b^2=c^2

Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2

324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31

5 0
3 years ago
Read 2 more answers
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