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igor_vitrenko [27]
3 years ago
13

If 2 sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

between 10 and 22

Step-by-step explanation:

A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.

Difference: 16 - 6 = 10

Sum: 6 + 16 = 22

Answer: between 10 and 22

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Bev earns $2 a week for taking out her neighbor’s trash cans. Complete the table of values. Then state the domain and range.
Eduardwww [97]

Domain : \{1,2,3,4\}

Range: \{2,4,6,8\}

Explanation:

It is given that Bev earns $2 a week.

Thus, for n number of weeks, we shall multiply $2 with n.

Where n=1,2,3,4 is the number of weeks.

For 1 week, Bev earns 2n=2(1)=2 ⇒ $2

For 2 weeks, Bev earns 2n=2(2)=4 ⇒ $4

For 3 weeks, Bev earns 2n=2(3)=6 ⇒ $6

For 4 weeks, Bev earns 2n=2(4)=8 ⇒ $8

Thus, we can see that the domain is the number of weeks.

Hence, Domain : \{1,2,3,4\}

Also, the money earned is the range.

Hence, Range: \{2,4,6,8\}

6 0
3 years ago
Eddie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has three equal parts that are y
Veseljchak [2.6K]

Answer:

1/6

Step-by-step explanation:

For coin its 1/2 for spinner its 1/3

1/2 times 1/3

Hope this helps

7 0
3 years ago
In a cookie mix, we find no-bake cookies, cinnamon cookies, and snickerdoodle cookies
Nataliya [291]

Answer:

There are 16 no-bake cookies.

Step-by-step explanation:

1 : 1 : 3

x : x : 48

x = 48 / 3

x = 16

5 0
2 years ago
Read 2 more answers
A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
3 years ago
1. If Gallup, Harris and other pollsters asked people to indicate their political party affiliation as Democrat, Republican or I
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Answer:

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