Simlify 1/2+5/8 and 2/3+ 1/4

Mathematics

1 answer:

Gennadij [26K]3 years ago

5 0

Answer:

Step-by-step explanation:

1/2+5/8=4/8+5/8=9/8

2/3+1/4=8/12+3/12=11/12

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In one basketball season, Susan threw the ball and it went in the basket 56 times. If 7/8 of the baskets Susan threw were worth

Ket [755]

Answer:

119

Step-by-step explanation:

Divide the number of baskets (56) by the denominator:

56 ÷ 8 = 7

Multiply by 7 to get the amount of 2 point baskets and multiply by 1 to get the amount of 3 point baskets. (they both add up to 56 baskets)

7 × 7 = 49

7 × 1 = 7

multiply the 49, 2 point baskets by 2 and the 7, 3 point baskets by 3 and add them together to get the total points.

49 × 2 = 98

7 × 3 = 21

98 + 21 = 119

6 0

3 years ago

Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

$\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]$

$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$