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astra-53 [7]
2 years ago
8

Which of the following transformations produce congruent figures?

Mathematics
1 answer:
kodGreya [7K]2 years ago
6 0
I, ii and iii as same length sides
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Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.
UkoKoshka [18]

Answer:

a) 378 foot

b) 3780¢

c)10^3\times 2^1\times 3^3\times 7^1

Step-by-step explanation:

Given: Ribbon required to make 1 bow = 1.5 yards

We know that 1 yard = 3 foot

a) Number of bows Jeanne wants to make = 84

Foot of ribbon required to make 84 bows

= Number of bows Jeanne wants to make × Ribbon required to male 1 bow

= 84 × 1.5 yards

= 126 × 3 foot = 378 foot

Thus, Jeanne requires 378 foot of ribbon to make 84 bows.

b) Cost of ribbon = 10¢ per foot

Total money required to buy ribbon

= Cost of ribbon × Amount of ribbon required in foot

= 10 × 378

= 3780.00¢

c) Number of bows manufacture wants to make = 84 × 1000

= 84,000 bows

Amount of ribbon required to make bows

= 1000 × Amount of ribbon required to make 84 bows

=  1,000 × 378 = 378000 foot

To write it in exponential form:

378000 = 10^3\times 2^1\times 3^3\times 7^1

8 0
3 years ago
Help please i’m confused
morpeh [17]

Answer:

7/10 pi (radians)

Step-by-step explanation:

The formula for sector area is (angle * r^2)/2

140pi = angle*r^2/2

multiply both sides by 2

280pi = angle * r^2

r = 20 cm (substitute)

280pi = angle * (20)^2

280pi = angle * 400

Divide both sides by 400

7/10 pi = angle

7 0
3 years ago
What is the result of adding these two equations?<br> - 2x + y = -5<br> - 2x - 4y = 6
Gelneren [198K]

Answer: 5y = -11

Step-by-step explanation:

-2x + y = -5

(-2x - 4y = 6) -1

-2x + y = -5

2x + 4y = -6

System by elimination method

0 + 5y = -11

5y = -11

4 0
3 years ago
Read 2 more answers
Find the slope of the line on the graph.write your answer as a fraction or a whole number, not a mixed number
Leona [35]

Answer:

slope = -\frac{1}{2}     if it were in an

Step-by-step explanation:

the graph is a negative and will therefore have a negative slope. to find the slope, pick a point on the graph and find the \frac{rise}{run}.

for instance, start with the point (0,1). Then go down 1 and left 2 to get to the next point on the graph (2,0). 1 is the "rise" and 2 is the "run" hence -1/2 being the slope.

you could also use the slope formula: \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

point 1: (0,1)    (x₁ ,y₁)

point 2: (2,0)    (x₂ , y₂)

\frac{0-1}{2-0} =-\frac{1}{2}

3 0
2 years ago
Find the area bounded by the curve y = x1/2 + 2 the x - axis, and the lines x = 1 and x = 4?
Serggg [28]
The area is given by

\displaystyle\int_1^4(x^{1/2}+2)\,\mathrm dx=\left(\frac23x^{3/2}+2x\right)\bigg|_{x=1}^{x=4}=\dfrac{40}3-\dfrac83=\dfrac{32}3=10+\dfrac23

so the answer is B
8 0
3 years ago
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