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3 years ago

What is the following product?

Mathematics

1 answer:

ivanzaharov [21]3 years ago

6 0

Answer:

the trid one becasue

Step-by-step explanation:

To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.

There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.

Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.

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In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.

atroni [7]

Answer:

46.2

Step-by-step explanation:

46.188= 46.2

3 0

3 years ago

In the diagram, m ∥ n and m and n are cut by transversal p. Which angle pairs are congruent? Check all that apply. ∠1 and ∠5 ∠3

Gelneren [198K]

The picture in the attached figure

we know that

a) ∠1 and ∠5
are congruent-----> by corresponding angles

b) ∠3 and ∠8------> supplementary angles (∠3 + ∠8=180°)
are not congruent

c)∠6 and ∠4------> supplementary angles (∠6 + ∠4=180°)
are not congruent

d) ∠8 and ∠2------> supplementary angles (∠8 + ∠2=180°)
are not congruent

e) ∠4 and ∠7-----> supplementary angles (∠4 + ∠7=180°)
are not congruent

5 0

3 years ago

Read 2 more answers

A line with a slope of 3/2 passes through (4,-1). Write the equation.

RideAnS [48]

Hey there!

We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:

-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b

Now, since we have our slope and y-intercept, we can write our equation with these two values:

y = 3/2x - 6

Hope this helps!

7 0

4 years ago

Read 2 more answers

17m-12n-1 + 4-13m-12n

kvasek [131]

Answer: 4m+-24n+3

This could be or you can write it like 4m-24n+3. And that’s the answer depends on what your doing. And you can’t simply anymore so that’s the best answer.

5 0

3 years ago

Read 2 more answers

Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

6 0

4 years ago