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Vaselesa [24]
2 years ago
14

What’s the values of a and b

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
6 0
They’re the coefficients of the unknown numbers
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Can somebody solve them and explain to me. <br> I'M LOST?!
lana66690 [7]

Answer:1. The measure of angle P is 53.  2. The value of x is 25.

3. The length of each side of the triangle is 30 cm.

Step-by-step explanation:

1. (3x +2) + (3x + 2 ) + (5x -11) =180  Angle Q and P have the same measures because it is an isosceles triangle that is why you have three expressions.

So x =17   and 3(17)+ 2 =53

2. (2x +10) + (2x+10) + (2x + 10)= 180 this is because the second triangle is an equilateral triangle which means all it have the same measures.

solve for x. and x  is 25.

3.The third triangle is also an equilateral triangle so you will make the expressions equal each other and solve for y .

1/10y + 11= 3/5y -4

y= 30

8 0
3 years ago
Please Help &amp; Thank You
makkiz [27]

Answer:

67 \frac{1}{2}  cm^3

Step-by-step explanation:

the volume of a rectangular prism is the three sides multiplied together, h*w*l

converting the mixed number to improper fraction to make multiplying easier.

\frac{9}{2} *6*\frac{5}{2} = \frac{135}{2}

converting back to mixed number in simplest form

\frac{135}{2}= 67 R 1

\frac{135}{2}= 67 \frac{1}{2}

4 0
3 years ago
A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours there will be 800 bacter
Leona [35]

Answer:

Step-by-step explanation:

Let the rate at which the bacteria grow be represented by the exponential equation

P(t) = P0e^kt

P(t) is the population of the bacteria after time t

P0 is the initial population

k is the constant of variation

t is the time

If the initial Population is 160 bacteria's, them the equation becomes;

P(t) = 160e^kt

b) if After 5 hours there will be 800 bacteria, this means

at t = 5 p(t) = 800

Substitute and get k

800 = 160e^5k

800/160 = e^5k

5 = e^5k

Apply ln to both sides

Ln5 = lne^5k

ln5 = 5k

k = ln5/5

k = 0.3219

Next is to calculate the population after 7hrs i.e at t = 7

P(7) = 160e^0.3219(7)

P(7) = 160e^2.2532

P(7) = 160(9.5181)

P(7) = 1522.9

Hence the population after 7houra will be approximately 1523populations

c) To calculate the time it will take the population to reach 2790

When p(t) = 2790, t = ?

2790 = 160e^0.3219t

2790/160 = e^0.3219t

17.4375 = e^0.3219t

ln17.4375 = lne^0.3219t

2.8587 = 0.3219t

t = 2.8587/0.3219

t = 8.88 hrs

Hence it will take approximately 9hrs for the population to reach 2790

7 0
3 years ago
Why is it important to look at more than the first two numbers of a pattern to decide the rule for the pattern?
Alexxandr [17]

Answer:

This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.

Step-by-step explanation:

When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;

2,4,6, 10, 14, 18, 20, 22, 24

The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.

8 0
2 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? ↔
aivan3 [116]

Answer:

  D.  p + q = 7

Step-by-step explanation:

The slope of AB is ...

  mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)

The slope of BC is ...

  mBC = (q -1)/(9 -6) = (q -1)/3

We want the product of these slopes to be -1:

  mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)

  -(q-1)/(6 -p) = -1 . . . . cancel factors of 3

  q -1 = 6 -p . . . . . multiply by -(6 -p)

  q + p = 7 . . . . . matches choice D

8 0
2 years ago
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