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2 years ago

10

If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angl

e 2 in degrees?

1 answer:

olga55 [171]2 years ago

7 0

Answer:

its 58

Step-by-step explanation:

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What is the value of x

mote1985 [20]

Answer:

awnser is 36

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Two friends share £150 in the ratio 4:11<br> (a) How much does each friend receive?

aliya0001 [1]

Step-by-step explanation:

Total ratio=4+11

=15

1st friend's share

= 4/15 x 150

=4 x 10

=£40

2nd friend's share

=11/15 x 150

=11 x 10

=£110

5 0

3 years ago

There are 8 rows and 8 columns, or 64 squares

lawyer [7]

Complete Question:

There are 8 rows and 8 columns, or 64 squares on a chessboard.

Suppose you place 1 penny on Row 1 Column A,

2 pennies on Row 1 Column B,

4 pennies on Row 1 Column C, and so on …

Determine the number of pennies in Row 1

Determine the number of pennies on the entire chessboard?

Answer:

255 in the first row

18,446,744,073,709,551,615 in the entire board

Step-by-step explanation:

Given

$Rows = 8$

$Columns = 8$

Solving (a): Number of pennies in first row

The question is an illustration of geometric sequence which follows

$1,2,4....$

Where

$a =1$ --- The first term

Calculate the common ratio, r

$r = \frac{T_2}{T_1} = \frac{4}{2} = 2$

The number of pennies in the first row will be calculated using sum of n terms of a GP.

$S_n = \frac{a(r^n - 1)}{n - 1}$

Since, the first row has 8 columns, then

$n = 8$

Substitute 8 for n, 2 for r and 1 for a in $S_n = \frac{a(r^n - 1)}{r - 1}$

$S_8 = \frac{1 * (2^8 - 1)}{2 - 1}$

$S_8 = \frac{1 * (256 - 1)}{1}$

$S_8 = \frac{1 * 255}{1}$

$S_8 = 255$

Solving (b): The entire board has 64 cells.

So:

$n = 64$

Substitute 64 for n, 2 for r and 1 for a in $S_n = \frac{a(r^n - 1)}{r - 1}$

$S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}$

$S_{64} = \frac{(2^{64} - 1)}{1}$

$S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}$

$S_{64} = \frac{18,446,744,073,709,551,615}{1}$

$S_{64} = 18,446,744,073,709,551,615$

5 0

3 years ago

There are seven cats in my neighborhood, with an average of 41 whiskers each. If one of the cats has 17 whiskers, how many whisk

Elan Coil [88]

Answer:

about 37.57

Step-by-step explanation:

basically multiply the original number by 6 then add 17 then divide it by seven. I think. dont hate me if im wrong. im kinda dumb

5 0

4 years ago

Find the solution of the given initial value problem in explicit form. y' = (1 – 11x)y?, y(0) = -1 Enclose numerators and denomi

Tanya [424]

Answer:

$y(x)=-e^{x-(\frac{11*x^{2} }{2}) }$

Step-by-step explanation:

This is a separable equation. First divide both sides by y:

$\frac{dy(x)}{\frac{dx}{y(x)} } =-11x+1\\\frac{dy}{y}=(-11x+1)dx$

Integrate both sides:

$\int\ \frac{dy}{y} \ =\int\ (-11x+1) \, dx$

$log(y)=-(\frac{11*x}{2} )+x+ c_1$

Solve for y taking exp to both sides:

$y(x)=c_1*e^{x-(\frac{11*x^{2} }{2}) }$

Where $c_1$ is an arbitrary constant

Evaluating the initial condition:

$y(0)=c_1*e^{0-(\frac{11*0^{2} }{2}) } =-1$

$c_1*e^{0} =-1\\c_1*1=-1\\c_1=-1$

Finally, replacing $c_1$ in the differential equation solution:

$y(x)=-e^{x-(\frac{11*x^{2} }{2}) }$

8 0

3 years ago