1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastova [34]
3 years ago
7

In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does

the ball need to travel if it is thrown from home plate directly to second base? A. 90 feet B. 127.3 feet C. 135.7 feet D. 180 feet
Mathematics
1 answer:
Tresset [83]3 years ago
6 0
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"

The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)

This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!

In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
You might be interested in
K is the midpoint of JL. JK = 2x + 5 and JL = 50.
Sergeu [11.5K]
Steve set the equation equal to 50 which is the entire length of JL. instead he should've set the equation equal to 25, since it's half of 50 and would represent the midpoint. he should've said 2x + 5 = 25
8 0
2 years ago
Who can help me asap​
Masja [62]

Answer:

<h2>10/16=5/8 </h2>

<h3>Option C is correct.....</h3>
4 0
3 years ago
Read 2 more answers
F(x) = 3x^2 -15<br> g(x) = 1 -2/3x
Oliga [24]

Answer:

f(g(-6)) is equal to 60

Step-by-step explanation:

We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.

f(g(-6))\\= f(1 - \frac{2(-6)}{3})\\= f(1 - \frac{-12}{3})\\\\= f(1 + 4)\\= f(5)\\= 3(5)^2 - 15\\= 3 * 25 - 15\\= 75 - 15\\= 60

8 0
3 years ago
How in the heck do I do this?​
Fudgin [204]

The measure of a triangle is 180 degrees. In other words the sum of the angles of a triangle is 180 degrees

To solve for x set all of the expressions of angles equal to 180 and isolate x

11x - 3 + 7x + 5 + 13x - 8 = 180

31x + (- 6 + 6) = 180 + 6

31x/31  = 186 / 31

x = 6

To find the measure of each angle plug 6 into the x into each individual expression

Hope this helped!

6 0
3 years ago
On a road trip, a family drives 350 miles per day. How many days. d. must they travel to reach a distance of at least 1.400 mile
Cloud [144]

Answer:

4 days

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • A woman sold an article for 200 Ghana cedis and made a profit of 25%. Find the cost price of the article​
    12·1 answer
  • In ANOVA analyses, when the null hypothesis is rejected, we can test for differences between treatment means by ________. Group
    15·1 answer
  • How would I graph this
    11·1 answer
  • I need help with question 5 show your work.Also tell me if my divison for question 6 is correct.Thx.P.S.I Will give the brainlie
    8·2 answers
  • PLEASE HELP ME ASAP!!!
    6·1 answer
  • Use me for points why not
    12·2 answers
  • Suppose point z is halfway between point w and x a standard numberline, and point x is halfway between points z and y. Where is
    12·1 answer
  • Larry,Moe,and tome at a pizza together. If larry ate 3/8 of the pizza, and tom ate 1/6 of it, how much did moe eat?
    13·1 answer
  • Please tell me I put 100 points for this
    8·2 answers
  • Will mark brainlits!!!!!!!!!!!!!!!!!!! help me plz owo ASAP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!