Which tool would be best to solve this problem?

Pythagorean Theorem

Triangle Angle Sum Theorem

Tangent Ratio

Sine Ratio

Cosine Ratio

Use that tool to solve for x. Show all work on the sketch
pad or on your paper.

Answer:

Non

Minisugar is correct I took the quiz and got it right. Thx minisugar

The number of triangles that can be constructed by the sides 15 cm , 7 cm and 5 cm are none

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the length of the sides of the triangle are 15 cm , 7 cm and 5 cm respectively

And , there are no triangles that can be formed with these measurements

This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 15 > 7 + 5, which means that a triangle cannot be formed using these three sides. Therefore, the answer is none.

Hence , the triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Answer:

31°

Step-by-step explanation:

Answer:

b = -3

Step-by-step explanation:

3.2b + 10 = -1.7b - 4.7

add 1.7b to each side

3.2b+1.7b + 10 = -1.7b+1.7b - 4.7

4.9b +10 = -4.7

Subtract 10 from each side

4.9b +10-10 = -4.7-10

4.9b = -14.7

Divide each side by 4.9

4.9/4.9 = -14.7/4.9

b = -3

Answer:

1) 3*10^9

2) 6*10^-10

Step-by-step explanation:

To find scientific notation, it's a number between one and ten, times ten to the power of as many zeroes as needed.

Answer:

1+√3

Step-by-step explanation:

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * AC * BD

We need to get AC

AC = AD+DC

Get base AD using SOH CAH TOA

tan 45 = 4/AD

AD = 4/tan45

AD = 4/1

AD = 4

Get DC

tan 30 = 4/DC

DC = 4/tan 30

DC = 4/(1/√3)

DC = 4√3

AC = 4 + 4√3

AC = 4(1+√3)

Get the Area of the triangle

Area = 1/2 * 4 *  4(1+√3)

Area of the triangle = 1+√3

Step-by-step explanation:

When -16t² + 32t + 75 < 75, -16t² + 32t < 0.

=> 16t(2 - t) < 0, t < 0 or t > 2.

However t < 0 is rejected as time cannot be a negative value. Hence the solution in interval notation is (2, ∞).

Answer:

D

Step-by-step explanation:

when you add a variable it turns into a square

Answer:    343.6875 US$

Step-by-step explanation:

(US$ 9.75) x (35 1/4) =

With our simple interest calculator you can easly compute a monthly payment of an interest-only. ... Interest rate definition; Simple and compound interest; Simple interest ... mortgage calculator, every month you repay a part of the principal and your ... Nothing changes with time, so we didn't include a field that would specify ...

Step-by-step explanation:

pls give ma an BRAINLIEST PLSSSSS

Answer:

15foot

Step-by-step explanation:

The set up will give a right angled triangle.

The length of the shadow will be the hypotenuse = 16foot

The height of the tree will be the opposite = x

The angle of elevation = 70°

Using the SOH CAH TOA trig identity

Sin theta = opposite/hypotenuse

Sin 70 = x/16

x=16sin70

x = 15.04feet

Hence the height of the tree to the nearest whole foot is 15foot

Answer:

A

Step-by-step explanation:

I hope this helped you out

Answer:

We conclude that:

[tex]h\left(1\right)=6[/tex]      

Step-by-step explanation:

Given

The function is

[tex]h\left(x\right)\:=\:|1\:-\:7x|[/tex]

To determine

h(1) = ?

Given the function

[tex]h\left(x\right)\:=\:|1\:-\:7x|[/tex]

substitute x = 1 in the function

[tex]h\left(1\right)=\left|1-7\left(1\right)\right|[/tex]

[tex]h(1)=\left|1-7\right|[/tex]

[tex]h(1)=\left|-6\right|[/tex]

Apply absolute rule:   |-a| = a

[tex]h\left(1\right)=6[/tex]        

Therefore, we conclude that:

[tex]h\left(1\right)=6[/tex]        

Answer:

372.5 miles

Step-by-step explanation:

First, find how many miles she traveled at 65 mph:

65(2.5)

= 162.5

Then, find how many she traveled at 60 mph:

60(3.5)

= 210

Add these together:

162.5 + 210

= 372.5

So, Ella traveled 372.5 miles in total

Answer:

13.8196601125

Step-by-step explanation:

i think i just did the math

Answer: 60%

Step-by-step explanation:

Sixth-graders that picked the museum = 39

Sixth-graders that picked the factory = 26

Total number of sixth graders = 39 + 26 = 65

Therefore, the percentage of the sixth-graders that picked the museum would be:

= Sixth-graders that picked the museum / Total number of sixth graders × 100

= 39/65 × 100

= 60%

Answer:

45

Step-by-step explanation:

.075x600

Answer:

Product is the answer of two numbers that are multiplied together.

3 x 3=9

Step-by-step explanation:

Answer:

r = 28.28

Step-by-step explanation:

you already gave the equation: sin45°= 20/r

you wanna start by multiplying both sides by r. You do this so that your variable can be in the numerator and it will be easier to solve the equation:

r (sin45°) = 20

Now you divide both sides by sin45°, this will give you your final answer. For this, you have to put it in a calculator:

r = 28.28

P.S, good job on already knowing your equation... when i was learning this it took me a while to get eh hang of it :)

Answer:

x = 10

Step-by-step explanation:

im pretty sure this is right. since the ratio is 5:6, if you multiply 6 x 2, you get 12. so 5 x 2 = 10

Answer:

See proof below

Step-by-step explanation:

From the given diagram, we can see that <2 and <3 lies on the same straight line, hence the sum of the angles is 180 degrees (supplementary)

<2 + <3 = 180 .... 1

Similarly. <1 and <2 are also supplementary angles

<1 + <2 = 180 .... 2

Subtract 1 from 2;

<3 - < 1 + <2 - <2 = 180 - 180

<3 - <1 +0 = 0

<3 - <1 = 0

Add <1 to both sides

<3 - <1 + <1 = 0+<1

<3 = <1 (Proved!)

This shows that <3 and <1 are equal

We can also conclude that <3 and <1 are vertically opposite angles and vertically opposite angles are equal

Answer:

60 days

Step-by-step explanation:

60 is the lowest number divisible by both 12 and 5

Answer:

9 R21

Step-by-step explanation:

Answer:

Segment pr

Step-by-step explanation: hope this helps

Answer:

1.  4x(2x-3)

2.  (2x-3)^2

hope this helps!!:)

Step-by-step explanation:

Answer:

Step--step explanation:

Answer:

1) Words learned=15x+75

2) 15 is the slope

3) 270 words

4) 21 weeks

Step-by-step explanation:

Let x be equal to the number of weeks that pass.

Let y be equal to the number of words we learn.

1) We're told that we learn 15 words per week. Therefore, 15x would equal the number of words we learn. However, because we already know 75, we add that to 15x, giving us this equation:

y=15x+75

2) The slope is the same thing as the rate of change in a situation. In this scenario, every week, we learn 15 words. Therefore, the rate of change, or the slope, is 15.

3) To find this, plug 13 into our equation as x and solve for y.

y=15x+75

y=15(13)+75

y=195+75

y=270

Therefore, we would learn 270 vocabulary words in total in 13 weeks.

4) To find this, plug 390 into our equation as y and solve for x.

y=15x+75

390=15x+75

Subtract 75 on both sides to isolate x

390-75=15x+75-75

315=15x

Divide both sides by 15

315/15=15x/15

21=x

Therefore, it would take 21 weeks to learn 390 new vocabulary words.

I hope this helps!

9514 1404 393

Answer:

  4·log(16) = 16·log(2) ≈ 4.81648

Step-by-step explanation:

The rules of logarithms are ...

  log(a^b) = b·log(a)

Here, we have ...

  log(16^4) = 4·log(16)

However, we recognize that 16 = 2^4, so this becomes ...

  log(16^4) = 4·(log(2^4)) = 4·4·log(2) = 16·log(2)

The base-10 logarithm of 2 is about 0.30103, so this is ...

  log(16^4) ≈ 16·0.30103 = 4.81648

Choose the form of the answer you need:

  log(16^4) = 4·log(16) = 16·log(2) ≈ 4.81648

Answer: 14

Step-by-step explanation:

Answer:

1 2/7

Step-by-step explanation:

4.5:3 1/2

45/10 ÷ 7/2

45/10 x 2/7

90/70=9/7

=1 2/7

Answer:

four point five is to three point five