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2 years ago

Can anybody help me with these two questions

Mathematics

1 answer:

sladkih [1.3K]2 years ago

4 0

Answer:

#1 is 39

#2 is 10 1/2

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer!

Have a great thanksgiving break :)

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Find the value of x

Paladinen [302]

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

x = 12°

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

$\qquad❖ \: \sf \:2x + 6 + 5x + 90 = 180$

[ by linear pair ]

$\qquad❖ \: \sf \:7x + 6 = 180 - 90$

$\qquad❖ \: \sf \:7x + 6 = 90$

$\qquad❖ \: \sf \:7x = 90 - 6$

$\qquad❖ \: \sf \:7x = 84$

$\qquad❖ \: \sf \:x = 84 \div 7$

$\qquad❖ \: \sf \:x = 12$

$\qquad \large \sf {Conclusion} :$

$\qquad❖ \: \sf \:x = 12 \degree$

7 0

1 year ago

Giselle works as a carpenter and as a blacksmith.

seropon [69]

Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

3 0

1 year ago

What is the circumference of a circle whose diameter is 4.8 cm?

DaniilM [7]

Answer:

15.072

Step-by-step explanation:

Circumference = πD

= 4.8π

= 15.079644737231

6 0

2 years ago

How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i

zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

$\dbinom 31 \dbinom 32 = 3\cdot3 = 9$

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

$\dbinom 33 \dbinom 30 = 1\cdot1 = 1$

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

$\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}$

where we use the binomial identity

$\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n$

3 0

1 year ago

Solve for the value of C

Helga [31]

Answer:

c = 50

Step-by-step explanation:

We can set up an equation using the vertical angles theorem.

97 = 2c-3

100 = 2c

c = 50

4 0

1 year ago

Read 2 more answers

Can anybody help me with these two questions​

Can anybody help me with these two questions