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3 years ago

How modeling subtraction with fraction strips is different from modeling addition strips

Mathematics

1 answer:

Wewaii [24]3 years ago

8 0

Instead of adding more fraction strips you would take some away to get a smaller number.

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In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

Explanation:-

Step(i):-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

By using sine rule

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

sin A = 0.990

A = sin⁻¹( 0.990) = 82.2°

∠A = 82.2°

Step(ii):-

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

Step(iii):-

we will use formula

$\frac{b}{sin B} = \frac{c}{Sin C}$

$\frac{11}{sin 35} = \frac{c}{Sin 62.8}$

$\frac{11 X sin (62.8)}{sin 35} = C$

c = 17.01

Final answer:-

∠A = 82.2° , ∠C = 62.8° , c = 17.01

4 0

3 years ago

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

WARRIOR [948]

Set up multiplication/division of ratios to cancel out units you don't need for the final answer and introduce those that you do.

We have m/s and we want m/min so

(100m/s)(60s/min)=6000m/min

5 0

4 years ago

Which choice is equivalent to the expression below?

Phantasy [73]

Hello! The answer should be B: 6i $\sqrt{6$ . Since the square root is above a negative, an imaginary number would come out. Because of this, you can easily recognize that it would be B.
However, if you can't, you could use the calculator to check (ignoring the negatives), 6 $\sqrt{6$ is equal to $\sqrt{216}$ .
The final answer should be B.

7 0

3 years ago

Read 2 more answers

Identify the sample space of the probability experiment: answering a true or false question.

Rainbow [258]

Answer:

we would need to know what the experiment was or we can't awnser

8 0

3 years ago

Determine which of these relations are transitive. The variables x, y, x', y represent integers A.x~y if and only if x +y is pos

Veronika [31]

Answer: