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Roman55 [17]
3 years ago
7

Which two points on the number line represent numbers that can be combined to make zero? A B C D -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

2 3 4 5 6 7 8 9 B and D A and B C and D A and A C​

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:  B and D

Step-by-step explanation:

B=-2

D=2

The negative and positive signs cancel out, leaving you with zero.

Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).

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Find the value of i77.<br> A) 1 <br> B) i <br> C) −1 <br> D) −i
Colt1911 [192]

assuming you mean i^{77} where i=\sqrt{-1}

ok, notice a pattern in the exponent

i^1=i=\sqrt{-1}

i^2=-1

i^3=-\sqrt{-1}=-i

i^4=1

i^5=i=\sqrt{-1}

hum, so it goes 1,2,3,4, then repeats

ok, so every 4, the cycle repeats

how far  up is 77 from a multipule of 4?

4*19=76

76 is 1 away from 77

so i^{77}=(i^{76})(i^1)=

(i^4)^{19}(i)=(1)^{19}i=i

the answer is B

8 0
3 years ago
Read 2 more answers
A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?
Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ 18\frac{1}{6} feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = 5\frac{1}{3}\ feet

Width of the box = 3\frac{3}{4}\ feet

Perimeter of a rectangle = 2(l+w)

where l represents length of rectangle and w represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = 2(5\frac{1}{3}+3\frac{3}{4})\ feet

Simplifying by adding fractions:

⇒  2(5+3+\frac{1}{3}+\frac{3}{4})\ feet (Adding whole numbers and fractions separately)

⇒  2(8+\frac{1}{3}+\frac{3}{4}) feet

Whole number 8 can be written as \frac{8}{1}

⇒  2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4}) feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒  2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3}) feet

⇒  2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12}) feet

Then we simply add numerators.

⇒  2(\frac{96+4+9}{12}) feet

⇒  2(\frac{109}{12}) feet

⇒  2\times \frac{109}{12} feet

⇒  \frac{218}{12} feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ 18\frac{2}{12} feet

Simplifying fractions to simplest form.

⇒ 18\frac{1}{6} feet

Perimeter =⇒ 18\frac{1}{6} feet  (Answer)

5 0
3 years ago
For each figure answer the following questions
Rudiy27

9514 1404 393

Answer:

  a) ∆ABC ~ ∆EDC by AA similarity

  b) ED/AB = 3/4

  c) 15 cm

Step-by-step explanation:

a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)

__

b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.

__

c) Using the ratios identified above, we have ...

  DC/BC = 3/4 = x/(20 cm)

  x = 3/4(20 cm)

  x = 15 cm

8 0
3 years ago
If
Svetllana [295]
2x8x40=$160 which is the labour cost
revenue=$2000
therefore the labor cost as a percentage of Revenue is ($160/$2000) x 100
which equals 8%
8 0
3 years ago
Need an answer asap please
katrin [286]

Answer:

Step-by-step explanation:

12.

(A). AB = √34 units

(B). Area of triangle is 7.5 units²

Perimeter of triangle is (√34 + 8) units

(C). ΔA'BC is reflection of ΔABC over y = 2

(D). ΔA'BC is right angled. ΔABA' is isosceles.

7 0
2 years ago
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