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3 years ago

The measure of triangle CBD

Mathematics

1 answer:

fgiga [73]3 years ago

5 0

Answer:

56 degrees

Step-by-step explanation:

Add 34 and 90 together

34 + 90 = 124

Subtract 180 by 124 = 56

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Mission Control sends a signal to a Mars robot to travel to a mysterious rock 52.8 meters away. A return signal 59.0 minutes lat

Andrei [34K]

The response time includes the round-trip signal time plus the robot's travel time.
59 min = 2*(9.5 min) +travel time
59 min -2*(9.5 min) = travel time = 40 min

The speed is distance / travel time
speed = (52.8 m)/(40 min) = 1.32 m/min

The robot's average speed was 1.32 meters per minute.

4 0

4 years ago

the larger of two numbers js 11 more than twice the smaller number. the sum of the number is 1 less than 7 times the smaller num

den301095 [7]

Answer:

smaller: 3

larger: 27

Step-by-step explanation:

Hope this helps!

5 0

3 years ago

The coordinates of A, B, and C in the diagram are A(p,4), B(6,1), and C(9,q). Which equation correctly relates p and q?

siniylev [52]

Answer:

$q+p=7$

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

In this problem line AB and line BC are perpendicular

$m_A_B*m_B_C=-1$

step 1

Find the slope AB

we have

A(p,4), B(6,1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{1-4}{6-p}$

$m_A_B=-\frac{3}{6-p}$

step 2

Find the slope BC

we have

B(6,1), and C(9,q)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{q-1}{9-6}$

$m_B_C=\frac{q-1}{3}$

step 3

Find the equation that relates p and q

we know that

$m_A_B*m_B_C=-1$

we have

$m_A_B=-\frac{3}{6-p}$

$m_B_C=\frac{q-1}{3}$

substitute

$(-\frac{3}{6-p})(\frac{q-1}{3})=-1$

$(\frac{q-1}{6-p})=1$

$q-1=6-p\\q+p=7$

3 0

3 years ago

Mrs. Hanson decided to survey the twenty-one students in her homeroom one morning to find out how they were feeling at that mome

miv72 [106K]

it's 8,

let the no. of tired students be x

add all the numbers of the happy, hungry and in between students and then subtract from the total of the student

which has to look smth like this

happy = 10

so we fill all the numbers in between then we add them and see what's missing

1+3+2 = 6

10-6 = 4

4 students are happy

hungry = 7

1+1+3 = 5

7-5 = 2

2 students are hungry

and lastly for tired, they didn't mention the total so we add all the numbers we got and subtract them by the total of students (just like mentioned above)

2+1+1+3+4+2 = 13

21-13 = 8

8 students were tired

x = 8

6 0

3 years ago

Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay? $4

lisabon 2012 [21]

Answer:

$74.68

Step-by-step explanation:

Convert the percent to a decimal.

4% = 0.04

Multiply his income by the percentage to find the tax.

$1,867 × 0.04 = $74.68

He can expect to pay $74.68.

3 0

3 years ago

Read 2 more answers