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3 years ago

Gordon types 1,944 words in 27 minutes. Find the unit rate

Mathematics

2 answers:

Tomtit [17]3 years ago

7 0

Answer:

72 words per minute

Step-by-step explanation:

1,994 words = 27 minutes original equation

1,994/27 = 27/27 divide both sides by 27 to get 1 minute

72 words = 1 minute ; 72 words per minute

tester [92]3 years ago

3 0

The rate is 72, I hope it helps!!

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A student wants to construct the inscribed circle of a triangle. What is the first step he/she should take?

pantera1 [17]

The correct answer is:

d) Construct the angle bisector of each angle in the triangle

Explanation:

The incenter, or center of an inscribed circle, is the point where the angle bisectors of a triangle intersect. This means the first thing we will need to construct is the bisector of each angle of the triangle.

8 0

3 years ago

Read 2 more answers

Write the inequality!! Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet. What inequality can you write to find

Butoxors [25]

Answer: $\frac{35-28}{x} \leq 6$

Step-by-step explanation:

Let x be the average number of pounds Fido must loss.

Since, the initial weight of Fido is 35 pounds.

And, After losing the weight, the new weight of Fido in pounds = 28 pounds.

Then the time taken for losing the weight

= $\frac{\text{ The weight it losses}}{\text{ Average of losing weight per month}}$

= $\frac{35-28}{x}$

According to the question, it must lose weight within 6 months,

Thus, $\frac{35-28}{x}\leq 6$

Which is the required inequality to find the average number of pounds per month.

By solving it we, get, $x\geq \frac{7}{6}$

6 0

3 years ago

(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.

valentinak56 [21]

Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.

-4x + 2y - z = 1 ==> z = -4x + 2y - 1

3x - 2y + 2z = 1 ==> z = (1 - 3x + 2y)/2

==> -4x + 2y - 1 = (1 - 3x + 2y)/2

==> -8x + 4y - 2 = 1 - 3x + 2y

==> -5x + 2y = 3

==> y = (3 + 5x)/2

==> z = -4x + 2 (3 + 5x)/2 - 1 = x + 2

So if we take x = t, the line of intersection is parameterized by

r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

(a) The tangent vector to r(t) is parallel to this line, so you can use

v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

3 0

3 years ago

(ill give 25) let r be the region enclosed by the y-axis, the line y = 2, the line y = 3, and the curve =. a solid is generated

Nesterboy [21]

That’s a 70 degree angle

8 0

3 years ago

Hey friend please solve this question

Bas_tet [7]

yes and yes.

you're told ∠A=∠B. this means angle A and B are equal. so the value you get for cos A will be the same as the value you'll get for cos B

also, the value you get for tan A will be the same as the value you'll get for tan B

if that doesn't make sense you could also draw the triangle and solve for A and B.

you're told it's a right angled triangle meaning one of the angles = 90

you're told that C is that angle so if C is a right angle, angle C=90

the sum of all the angles in a triangle = 180

so angle A+ angle B + angle C = 180

angle A+ angle B + 90 = 180

angle A+ angle B = 180 - 90

angle A+ angle B = 90

A and B could be any value but you're told angle A = angle B

angle A+ angle B = 90

you can divide 90 by 2 because A and B are equal. that will give you 45 for A and 45 for B

angle A+ angle B = 90

since angle A = angle B,

1. you can substitute angle A with angle B like this

angle B+ angle B = 90

2 angle B = 90

angle B = 90/2

angle B=45; ∴ angle A is also 45 ( because angle A= angle B)

2. or you could substitute angle B with angle A

angle A+ angle A = 90

2 angle A = 90

angle A = 90/2

angle A =45; ∴ angle B is also 45 ( because angle A= angle B)

Now you know what A and B are,

sin A = sin 45; sin B = sin 45

sin 45 = sin 45

tan A = tan 45; tan B = tan 45

tan 45 = tan 45

7 0

3 years ago