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3 years ago

M∠1=28°, m∠6=65°, m∠5=65°. Find m∠MAX

Mathematics

1 answer:

kirill115 [55]3 years ago

5 0

Answer:

<MAX = 93

Step-by-step explanation:

Since <MAX is technically <1 + <5, we know that <1 is 28 and <5 is 65. We can add both of these angles up to solve for <MAX, which is 28 + 65 = 93.

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Which single transformation can be applied to the graph of y = 72 StartRoot x EndRoot to produce the graph of y = 9 StartRoot x

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Answer:

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Step-by-step explanation:

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3 0

2 years ago

(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0

Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

$P(A)+P(B)+P(A\cap B)=P(A\cup B)$

We know that

Maximum value of $P(A\cup B)$ =1 and minimum value of $P(A\cup B)$ =0

$0\leq P(A\cup B )\leq 1$

$0\leq P(A)+P(B)-P(A\cap B)\leq 1$

$0\leq 0.4+0.7-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)$

$P(A\cap B)\leq 1.1$

It is not possible that $P(A\cap B)$ is equal to 1.1

$1.1-P(A\cap B)\leq 1$

$-P(A\cap B)\leq 1-1.1=-0.1$

Multiply by (-1) on both sides

$P(A\cap B)\geq 0.1$

Again, $P(A\cup B)\geq P(B)$

$0.4+0.7-P(A\cap B)\geq 0.7$

$1.1-P(A\cap B)\geq 0.7$

$-P(A\cap B)\geq -1.1+0.7=-0.4$

Multiply by (-1) on both sides

$P(A\cap B)\leq 0.4$

Hence, $0.1\leq P(A\cap B)\leq 0.4$

3 0

3 years ago

Its not very clear but if someone could help me with the answers that would be great

Pie

Can’t see it properly...

6 0

2 years ago

The average speed of a car during 5 hours is 50 miles per hour. What is the total distance traveled by the car?

Paraphin [41]

Answer:

250 miles

Step-by-step explanation:

So we know that the time (t) equals 5 hours and that the rate (r) equals 50 mph. So knowing that, we can use the formula t*r=distance. We plug in the numbers and we get 250 miles.

Another way to think about this is, since we go 5 hours and 50 miles per hour, every hour we go 50 miles and we do that for 5 hours, so we go 50, 100, 150, 200, 250.

6 0

2 years ago

Evaluate F(1)

KonstantinChe [14]

ANSWER

B. 1

EXPLANATION

The given function is

$f(x) =\left \{ {{x^{2} +3 (if) -5 \leq x< 1} \atop {x (if) 1 \leq x \leq 5 }} \right.$

This is a piece-wise defined function.

We want to find f(1)

We substitute x=1 into f(x)=x because, 1 belongs to the interval,

1≤x≤5

f(1)=1

The correct answer is B.

8 0

3 years ago