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VikaD [51]
2 years ago
11

State the missing angle

Mathematics
2 answers:
Anettt [7]2 years ago
6 0

Answer:

  • zhshhunvsisiiniabiwbgihwqnowowjwg gap
Andrews [41]2 years ago
6 0

Answer:

The missing angle is 45°.

Reason: Corresponding parts are congruent.

Hope it helped!! Brainliest!!

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For z = 2cis 60°, find z4 in rectangular form.
a_sh-v [17]
By DeMoivre's theorem,

z=2\mathrm{cis}60^\circ\implies z^4=2^4\mathrm{cis}(4\times60)^\circ=16\mathrm{cis}\,240^\circ
z^4=16(\cos240^\circ+i\sin240^\circ)
z^4=16\left(-\dfrac12-i\dfrac{\sqrt3}2\right)
z^4=-8-i8\sqrt3
5 0
3 years ago
Read 2 more answers
Mr. Shipley is in charge of a school trip. 317 students will go on the trip. Thhe school had seven buses and one van. If the van
sergey [27]

Answer:

<u>44 </u>students will ride on each bus.

Step-by-step explanation:

Given:

Mr. Shipley is in charge of a school trip.

317 students will go on the trip.

The school had seven buses and one van.

If the van can haul nine students.

Now, to find the number of students who will ride on each bus.

Total students who will go on trip = 317.

So, we deduct the nine students of van from total students.

317-9=308.

Thus, there are 308 students remaining for riding on the seven buses.

Now, to get the number of students that will be riding on each bus we divide 308 remaining students by number of buses:

308\div 7

=44.

Therefore, 44 students will ride on each bus.

6 0
2 years ago
Mingfa says, "My sister and I have $130 altogether. If my mother gives me another
quester [9]

Given:

Total amount of Mingfa and her sister = $130

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

To find:

How much money does Mingfa actually have?​

Solution:

Let, Mingfa have $x and her sister has $y initially. Then,

x+y=130                ...(i)

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

x+10=3y              ...(ii)

Substitute the value of x from (ii) in (i).

(3y-10)+y=130

4y=130+10

4y=140

Divide both sides by 4.

y=35

Putting y=35 in (i), we get

x+35=130

x=130-35

x=95

Therefore, Mingfa have $95.

8 0
2 years ago
Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form
Greeley [361]
(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})

Use distributive property to remove the parentheses:

(a+b)(c+d)=ac+ad+bc+bd\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\  \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\  \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\  \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\  \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\  \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\  \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\  \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}Then, the product in the simplest form is:\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4}

8 0
1 year ago
A man earns $3580 per month and spend 65% of it. How much does he save every month?
Sloan [31]

Answer:

23000 dollars

Step-by-step explanation: because 3580 is about i dont even know scrub

4 0
2 years ago
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