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4 years ago

Find the value of each variable.

Mathematics

1 answer:

Gnesinka [82]4 years ago

5 0

Answer:

$y=112\degree$

$z=65\degree$

Step-by-step explanation:

The sum of adjacent angles on a straight line is $180\degree$ .

$\Rightarrow 115\degree+z\degree=180\degree$

$\Rightarrow z\degree=180\degree-115\degree$

$\Rightarrow z\degree=65\degree$

The sum of angles in a quadrilateral is 360 degrees.

$\Rightarrow 65\degree+81\degree +102\degree +y=360\degree$

$\Rightarrow 248\degree +y=360\degree$

$\Rightarrow y=360\degree-248\degree$

$\Rightarrow y=112\degree$

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Apples are on sale for $3.12 per kilogram

Marrrta [24]

Answer:

Hi! What Exacly is the question??

Step-by-step explanation:

3 0

3 years ago

HI, I'm not sure on the working out of this question (textbook only has answers)

Arisa [49]

Answer:
The coefficient of the
x
2
-term is
80
.
Explanation:
First, we need to find the sixth row of Pascal's Triangle to determine the coefficient of the non-simplified terms of the expansion of the binomial expression. Remember that Pascal's Triangle begins with
1
as the first row and as the first and last entry of every other row. The middle terms of each row are obtained by adding the two terms from the row above.
1
/ \
1 1
/ \ / \
1 2 1
/ \ / \ / \
1 3 3 1
/ \ / \ / \ / \
1 4 6 4 1
/ \ / \ / \ / \ / \
1 5 10 10 5 1
Remember that in this case,
(
x
+
2
)
5
,
a
=
x
and
b
=
2
. The binomial theorem tells us that in the expansion, the terms will follow this pattern:
a
5
b
0
+
a
4
b
1
+
a
3
b
2
+
a
2
b
3
+
a
1
b
4
+
a
0
b
5
Combining that with the coefficients from Pascal's Truangle gives us this expansion of
(
x
+
2
)
5
:
#1(x^5)(2^0) + 5(x^4)(2^1) + 10(x^3)(2^2) + 10(x^2)(2^3) + 5(x^1)(2^4) + 1(x^0)(2^5)
The fourth term is the
x
2
-term, so we need to simplify it:
#10(x^2)(2^3) = 10(x^2)(8) = 80x^2
So, the coefficient of the
x
2
-term is
80
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8 0

3 years ago

What is1x1x1x1x1x1x11x1xx1

just olya [345]

Answer:

Step-by-step explanation:

Anything multiplied by 1 will stay the number that it is.

Example: 11×1= 11

8 0

3 years ago

4. If Mahamat has 36 coins totaling $3.00, and the coins are all nickels and quarters, how many of each coin does he have?

MakcuM [25]

The answer is 30 i believe :) ♡

6 0

3 years ago

Marissa wants to blend candy selling for $1.40 per pound with candy costing $2.90 per pound to get a mixture that costs her $2.0

fiasKO [112]

Answer:

30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

It generally works well to let a variable represent the quantity of the most-expensive contributor. Here, we can let x represent pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, and the total cost of the mix will be ...

1.80x + 1.20(90-x)

We want that to be the same value as 90 pounds of $1.40 per pound mix, so the equation is ...

1.80x + 1.20(90 -x) = 1.40(90)

This can be simplified and solved like any two-step linear equation.

0.60x + 108 = 126 . . . . . simplify

0.60x = 18 . . . . . . . . . . . .subtract 108

x = 30 . . . . . . . . . . . . . . . divide by 0.60. This is pounds of $1.80 candy

90-x = 60 . . . . . pounds of $1.20 candy

30 pounds of candy priced at $1.80 per pound, and 60 pounds of candy priced at $1.20 per pound should be used to make a mix that costs $1.40 per pound.

Mark me Brainliest please!

5 0

3 years ago

Read 2 more answers