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Lady bird [3.3K]
2 years ago
11

Can someone please help me with this

Mathematics
1 answer:
Nesterboy [21]2 years ago
5 0

Answer:

m∠Q = 121°

m∠R = 58°

m∠S = 123°

m∠T = 58°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Create an expression for the sum of all the angles and equate it to 360, then solve for x:

      ∠Q + ∠T + ∠S + ∠R = 360

⇒ 2x + 5 + x + 2x + 7 + x = 360

⇒ 6x + 12 = 360

⇒ 6x = 360 - 12 = 348

⇒ x = 348 ÷ 6 = 58

So now we know that x = 58, we can calculate all the angles:

m∠Q = 2x + 5 = (2 x 58) + 5 = 121°

m∠R = x = 58°

m∠S = 2x + 7 = (2 x 58) + 7 = 123°

m∠T = x = 58°

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Step-by-step explanation:

For the first question:

  1. 2\frac{1}{2}<2\frac{3}{4} ✅
  2. -1.25<-0.75 is correct as -0.75 is closer to zero meaning it is bigger ✅
  3. 1.75<-1/4 is incorrect as negative numbers are smaller than positive numbers ❎
  4. 1.75>0.5 ✅
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For the second equation:

Multiples of 6 are:

6,12,18...

Multiples of 12 are:

12,24,36...

So the lowest one in both is 12

6 0
2 years ago
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a spherical balloon is being inflated so that the radius is increasing at a rate of 3 cm/sec. find the rate at which the volume
neonofarm [45]

Answer:  1200pi cubic cm per sec

========================================

Work Shown:

dr/dt = 3 is the rate of change of the radius

V = (4/3)pi*r^3 ..... volume of a sphere

dV/dt = (4/3)*3*pi*r^2*dr/dt ... chain rule

dV/dt = 4*pi*r^2*dr/dt

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dV/dt = 12*pi*10^2 ... plug in r = 10

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3 0
3 years ago
Suppose three marksmen shoot at a target. The ith marksman fires ni times, hitting the target each time with probability Pi, ind
astraxan [27]

Answer:

Distribution is NOT binomial.

Step-by-step explanation:

In order to be a binomial distribution, the probability of success for each individual trial must be the same. Since each marksman hits the target with probability Pi, the probability of success (hitting the target) is not necessarily equal for all trials. Therefore, the distribution is not binomial.

In this case, the distribution would only be binomial if Pi was the same for every "ith" marksman.

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3 years ago
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Mice21 [21]

Answer:

$49,367.5

Step-by-step explanation:

45,500*0.085 = 3,867.5, 45,500 + 3,867.5 = 49,367.5

8 0
3 years ago
Hi looking for help ASAP ASAP ASAP ASAP
AURORKA [14]

Answer:

see explanation

Step-by-step explanation:

A translation of 6 units to the right, means adding 6 to the x- coordinate.

J (- 4, 5 ) → J' (- 4 + 6, 5 ) → J' (2, 5 )

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