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3 years ago

12

Alice and carl each have the same total number of marbles. alice put her marbles into groups of 4 with none left over.carl put h

is marbles into

1 answer:

11111nata11111 [884]3 years ago

6 0

Into? Is hard to answer without the rest of the problem

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. Given that O is the centre of the following circle, find the values of the unknowns.

alex41 [277]

Given:

Radius of circle is 13 cm

Height of triangle is 5 cm

To find:

Value of 'a' and 'b'

Steps:

To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,

A² + B² = C²

$a^{2} + 5^{2} = 13^{2}$

$a^{2} + 25 = 169$

$a^{2} = 169 - 25$

$a^{2} = 144$

$\sqrt{a^{2}}=\sqrt{144}$

$a = 12$

Now to find the value of 'b', i will use law of cosine,

$c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }$

$12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38$

Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively

Happy to help :)

If u need any help feel free to ask

3 0

3 years ago

Solve for x:<br> 4(1-x)+3x=-2(x+1)

Orlov [11]

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = − 6

Step-by-step explanation:

I hope this helps! Have a nice day!

8 0

2 years ago

Hey I need help with this problem pls.

Goryan [66]

Step-by-step explanation:

=2√-28

=2√4×7×-1

=2(2)√7×-1

=4i√7 (i=√-1)

<h3><u>Note</u><u>:</u><u>if</u><u> </u><u>you</u><u> </u><u>need</u><u> </u><u>to</u><u> </u><u>ask</u><u> </u><u>any</u><u> </u><u>question</u><u> </u><u>please</u><u> </u><u>let</u><u> </u><u>me</u><u> </u><u>know</u><u>.</u></h3>

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2 years ago

The equation is y=mx+b.

ycow [4]

Answer: both ways are acceptable

Step-by-step explanation: When writing equations of lines in this form,

we usually keep the "b" value or the constant term as a fraction.

However, if you prefer decimals, you can absolutely change

it to a decimal to visualize is better if you'd like, it's really your choice.

For example, if the equation of a line was y = -3/4x - 7/4, I could leave

it how it is or I could change the -7/4 to -1.75 giving me y = -3/4x - 1.75.

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3 years ago

Your _______ should furnish enough money to live on, in an emergency, for six months

OLEGan [10]

Your bank should furnish enough money to live on , in an emergency , for six months.
Hope this helps!

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3 years ago