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2 years ago

18 8 13 7 Find the area of the white granite area in the picture above.

Mathematics

1 answer:

GaryK [48]2 years ago

8 0

Answer: 178

Step-by-step explanation:

18x13

234 area of white granite

8x7

56 area of blue granite

234-56 to find the area of the white granite

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a country's population in 1994 was 52 million in 2000 it was 55 million estimate the population in 2003

atroni [7]

[email protected] = 52,000,000
[email protected] = 55,000,000
[email protected] = ?
r = ?

Equation: P = Po * e^(rt)
-----
Solve r:
P/Po = e^(rt)

ln(P/Po) = rt
r = ln(P/Po)/t
r = ln([email protected]/[email protected])/(2000-1994)
r = ln(55M/52M)/6
r = 0.009348

----
Solve for [email protected]
t = 2003 - 1994 = 9

[email protected] = [email protected] * e^(rt)
[email protected] = 52M * e^(0.009348*9)
[email protected] = 56,564,292.9

approximately 57M.

3 0

2 years ago

Fully factorise x² + 7x+6

marin [14]

$\\ {\large{\textsf{\textbf{\underline{\underline{ Question \: :}}}}}} \\$

Factorise ;

x² + 7x+6

$\qquad\rule{120pt}{2pt}$

$\\ {\large{\textsf{\textbf{\underline{\underline{ Solution \: :}}}}}} \\$

$\\ \sf \implies \: {x}^{2} + 7x+6 \\$

$\\ \sf \implies \: {x}^{2} + 6x + x+6 \\$

$\\ \sf \implies \: x(x + 6) +1 (x+6) \\$

$\\ \sf \implies \: (x + 6) (x+1) \\$

$\\ \sf \implies \: x + 6= 0 \:\:\:\: and\:\:\:\: x+1=0 \\$

$\\ \sf \implies \: x= 0 -6\:\:\:\: and\:\:\:\: x=0-1 \\$

$\\ \sf \implies \: x= -6\:\:\:\: and\:\:\:\: x=-1 \\$

$\\\sf\implies\;{\underline{\boxed {\bf{ \:\:x=-6\:\: }}} }\red\bigstar \;\; \;\; \;{\underline{\boxed {\bf{ \:\:x=-1\:\: }}} }\red\bigstar \\$

$\\\qquad\rule{120pt}{2pt}\\$

5 0

4 months ago

Read 2 more answers

The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9

QveST [7]

Answer:

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

t + o = 15 . . . . . . the sum of digits is 15

(10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

9o -9t = 9 . . . . collect terms

o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

(t +o) +(o -t) = (15) +(1)

2o = 16

o = 8

t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0

2 years ago

Which polynomial is in standard form?

miv72 [106K]

Answer:

Step-by-step explanation:

8 0

2 years ago

Pleaseeee help w these math questions! please show work!!!<br><br> 50 points

Schach [20]

9. You need an exact answer. So I will give you it but I'll also give you an approximation because it might help you understand it more.

Because we know the cosine fo theta, we can evaluate the inverse cosine of -2/3 first to find theta.

$sin^{-1}(-2/3)$ = 131.81° approx.

Because 131.81° is in the second quadrant its third quadrant partner is 228.19°. Which would make the sine 0.75 approximately.

But we need an exact answer I suppose so which is this disgusting mess... $sin(2\pi -cos^{-1}(\frac{-2}{3}))$ . I know it looks scary but it is basically all the steps we just did but without evaluating anything.