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andriy [413]
3 years ago
10

Find the value of a and b from the figure​

Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

50 is the answer

Step-by-step explanation:

b+130°=180

b=180-130

b=50°✓

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Evaluate 11/6 - 2/8=
AleksandrR [38]

Answer:

19/12

Step-by-step explanation:

4 0
2 years ago
The ingredients for making chocolate cookies are 3/4 cup of brown sugar, 1/4 cup of white sugar, 3/2 cup of butter, 11/8 cup of
Naya [18.7K]

Answer:

\frac{51}{8} cups.

Step-by-step explanation:

It is given that the ingredients for making chocolate cookies are \frac{3}{4} cup of brown sugar, \frac{1}{4} cup of white sugar, \frac{3}{2} cup of butter, \frac{11}{8} cup of flour, and \frac{5}{2} cup of chocolate chips.

Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.

So, it will be given by

(\frac{3}{4} + \frac{1}{4} + \frac{3}{2} + \frac{11}{8} + \frac{5}{2}) cups

= \frac{3 \times 2 + 1 \times 2 + 3 \times 4 + 11 + 5 \times 4}{8} cups

= \frac{51}{8} cups. (Answer)

3 0
3 years ago
Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times t
Anika [276]

Answer:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c

Step-by-step explanation:

Given

\int\limits {\frac{x}{x^4 + 16}} \, dx

Required

Solve

Let

u = \frac{x^2}{4}

Differentiate

du = 2 * \frac{x^{2-1}}{4}\ dx

du = 2 * \frac{x}{4}\ dx

du = \frac{x}{2}\ dx

Make dx the subject

dx = \frac{2}{x}\ du

The given integral becomes:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du

Recall that: u = \frac{x^2}{4}

Make x^2 the subject

x^2= 4u

Square both sides

x^4= (4u)^2

x^4= 16u^2

Substitute 16u^2 for x^4 in \int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du

Simplify

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du

In standard integration

\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)

So, the expression becomes:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)

Recall that: u = \frac{x^2}{4}

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c

4 0
3 years ago
Substitute for o to solve for r
Softa [21]

Answer:

0

Step-by-step explanation:

R

3 0
3 years ago
Which number sentence is true? A. –7 + 10 = –3 B. –7 – (–10) = –17 C. 7 – 10 = 3 D. 7 – (–10) = 17
Mice21 [21]

Assignment: \bold{Which \ Statement \ Is \ True}

<><><><><>

Answer: \boxed{\bold{7-\left(-10\right)}}

<><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><>

Note: \bold{Solve \ Equation \ To \ Find \ Answer}

[ Step One ] Apply Rule - (-a) = a

\bold{7+10}

[ Step Two ] Add

\bold{17}

<><><><><><><>

\bold{\rightarrow Rhythm \ Bot \leftarrow}

3 0
3 years ago
Read 2 more answers
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