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zepelin [54]
2 years ago
10

(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must

Mathematics
1 answer:
lions [1.4K]2 years ago
7 0

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

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nalin [4]

Answer:

a) -2t²+12t+15    b) 25, 31   c) 26

Step-by-step explanation:

a) To find out rate, we will take derivative of the given equation

dN/dt= -2t2+12t+15

b) At 9 am , it will be 1hr since the start of morning shift so t=1

dN/dt= -2(1)²+12(1)+15

dN/dt=25

At 10 am, it will  2 hrs since the start of morining shift be so t=2

dN/dt=-2(2)²+12(2)+15

DN/dt= 31

c) N(2)-N(1)= (-(2)³+6(2)²+15(2))-(-(1)³+6(1)²+15(1))

                =(46)-(20))

                = 26

4 0
2 years ago
Lake Snider High School surveyed its student population about if they prefer pizza or sushi. The students who prefer pizza repre
stira [4]

Answer:

311 students prefer sushi

Step-by-step explanation:

Let

x------> the number of students who prefer pizza

y -----> the number of students who prefer sushi

we know that

x=5y-27 -----> equation A

x=1,528 -----> equation B

Substitute the equation B in equation A and solve for y

1,528=5y-27\\ 5y=1,528+27\\ 5y=1,555\\ y=311\ students

6 0
2 years ago
Set Hill 1 to 75 cm and the other hills to 0 cm. What is the height in meters?
yanalaym [24]
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8 0
2 years ago
Multiple 7/9 to the sum of 8 3/7 and 5 11/14
Brums [2.3K]

\frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) =  \\

\frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14}   ) =  \\

\frac{7}{9} \times (13 \frac{6 + 11}{14}) =  \\

\frac{7}{9}  \times (13 \frac{17}{14}) =  \\

\frac{7}{9} \times (14 \frac{3}{14}) =  \\

\frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) =  \\

\frac{7}{9} \times ( \frac{42 + 3}{14}) =  \\

\frac{7}{9} \times ( \frac{45}{14}) =  \frac{7 \times 45}{9 \times 14} =  \frac{5}{2}  \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0
2 years ago
Read 2 more answers
Add 4 to n then divide by 5
Ket [755]
The equation used for this is

\frac{(4+n)}{5}=

if you knew n then we could solve this equation 
4 0
2 years ago
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