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4 years ago

Given: P: 3x + 7 = -5 Q: 4x + 12 = -4

Mathematics

2 answers:

Ainat [17]4 years ago

5 0

Answer:

P: x= -4

Q: x= -4

Step-by-step explanation:

iVinArrow [24]4 years ago

3 0

Answer:

A(8)-F5+6

Step-by-step explanation:

You might be interested in

Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value.

Elenna [48]

Answer:

1.325 x 10 -2

Step-by-step explanation:

That is the answer and I know 100% that it is correct

7 0

3 years ago

(2u + 7)(3u – 1) = 0 solve buy factoring

maria [59]

Answer:

Factor and set each factor equal to zero.

u = - 7 /2,1/3

5 0

3 years ago

the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the to

Tcecarenko [31]

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

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

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

$\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters$

The height of the tower is 30.51 meters

6 0

3 years ago

Find the population standard deviation (σ not S) for the data set: {75,80,90,95,75,85,55,80,90,95}

Marianna [84]

The steps to work out standard deviation is as follows

Step 1: Find the mean of the data

$\frac{75+80+90+95+75+85+55+80+90+95}{10}=82$

Step 2: Subtract the mean from each data value

$75-82=-7$
$80-82=-2$
$90-82=7$
$95-82=13$
$75-82=-7$
$85-82=3$
$55-82=-27$
$80-82=-2$
$90-82=8$
$95-82=13$

Step 3: Add up the answers from step 2 $\sqrt{2.9}=1.7$

$-2+(-2)+7+13+(-7)+3+(-2)+(-2)+8+13=29$

Step 4: Divide the answer is step 3 by the number of data

$\frac{29}{10}=2.9$

Step 5: Square root the answer in step 4

$\sqrt{2.9} =1.7$

5 0

4 years ago

Is 7/18 rational or irrational

kramer

Answer:Rational

Step-by-step explanation: It is rational because it is repeating but not random like pi.

4 0

3 years ago