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
lesantik [10]
3 years ago
12

A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?

Mathematics
2 answers:
Airida [17]3 years ago
8 0

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5).  The smallest of these angles is thus 20°

SVETLANKA909090 [29]3 years ago
5 0

let's recall that the sum of all interior angles in a triangle is 180°.

we know the angles are in a 8:6:4 ratio, so we simply divide 180 by (8+6+4) and then distribute accordingly.

\bf 8:6:4\qquad \qquad \left( 8\cdot \cfrac{180}{8+6+4} \right) : \left( 6\cdot \cfrac{180}{8+6+4} \right) : \left( 4\cdot \cfrac{180}{8+6+4} \right) \\\\\\ (8\cdot 10):(6\cdot 10):(4\cdot 10)\implies 80~:~60~:~\stackrel{\textit{smallest}}{40}

You might be interested in
Thomas is sketching the graph of a quadratic function. he is asking his friends about how many x-intercepts his function can hav
DedPeter [7]

Answer:

C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.

7 0
3 years ago
Read 2 more answers
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangu
prohojiy [21]

Answer:

1,482 square feet

Step-by-step explanation:

Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

5 0
3 years ago
Write an unit rate for this situation.<br> traveling 426 miles in 7 hours.
balu736 [363]

Answer:

60.857 miles /hour

Step-by-step explanation:

the unit rate is miles per hour

426 miles / 7 hours

60.857 miles /hour


6 0
3 years ago
Read 2 more answers
A math test has 12 multiplication problems and 24 division problems.
Sergio039 [100]
12/36 = 1/3

.........................................................................
7 0
3 years ago
Read 2 more answers
The population of Orlando is 973,204. The
GaryK [48]
I think 1,062,738.8
8 0
3 years ago
Other questions:
  • What is the volume of 1.60 grams of O2 gas at STP?
    10·2 answers
  • The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?
    12·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    7·1 answer
  • the sides of a triangle are in the ratio 3:4:5 what is the length of each side if the perimeter of the triangle is 90cm
    5·1 answer
  • PLEASE I NEED HELP!!! FIRST ANSWER IS BRANLIEST!!!
    10·2 answers
  • How is exponential growth related to the corona virus (vivid-19)?<br><br> In your own word please
    14·1 answer
  • PLEASE HELP! I WILL GIVE BRAINLYEST TO WHOEVER ANSWERS FIRST! PLEASE PLEASE BE QUICK! thank you! and please include explanation
    7·1 answer
  • There is a line that includes the point (-5, 2) and has a slope of -3. What is its equation in slope-intercept form?
    6·2 answers
  • Bài 4: 350 Cho tam giác ABC nhọn, hai đường cao BD, CE cắt nhau tại H. M là trung điểm của BC. K đối xứng với H qua M. a) Chứng
    11·1 answer
  • What are the real solutions of x squared =225
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!