answer.
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
kap26 [50]
2 years ago
14

Lila made a triangular flag to cheer on her favorite sports team. The perimeter of the flag is 20 inches.

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

Answer:

Step-by-step explanation:

Lila made a triangular flag to cheer on her favorite sports team. The perimeter of the flag is 20 inches.

A triangular flag is shown. 2 sides have lengths of 8 inches. The total perimeter of the flag is 20 inches.

Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

Approximately how many square inches of fabric were used to make the triangular flag?  

15 square inches

76 square inches

186 square inches

215 square inches

Given that we have an outside border of 20 inches and 2 sides are 8 inches each, the third side is equal to 4 inches. Solving for s which is the semi outside border ,                                                   S = 20/2 = 10

Using Heron’s formula,

A = sqrt of  (10)(10-8)(10-8)(10-4) = 15.49 in2

You might be interested in
in the figure below line de is parallel to line f g with a transversal AG write and solve a system of liner equation to determin
Kay [80]
The complete question in the attached figure

we know that

angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°

the answer is
x=147°
y=33°

7 0
2 years ago
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4
HACTEHA [7]

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

4 0
2 years ago
Read 2 more answers
True or False? A circle could be circumscribed about the quadrilateral below.
SVEN [57.7K]

Answer:

<em>The correct answer is:   False</em>

Step-by-step explanation:

<u>If the sum of the opposite angles in a quadrilateral is 180°</u>, then a circle can be circumscribed about the quadrilateral.

Here,  \angle B+\angle D= 110\°+90\° = 180\°

but,  \angle A+\angle C= 70\°+90\°= 160\°

So, a circle can't be circumscribed about the given quadrilateral.

7 0
2 years ago
Read 2 more answers
What is the yyy-intercept of y=-3-7xy=−3−7xy, equals, minus, 3, minus, 7, x?
stiv31 [10]

<em><u>Complete Question:</u></em>

What is the y intercept of y = -3-7x

<em><u>Answer:</u></em>

<h3>The y intercept is (0, -3)</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y = -3 - 7x

The y intercept is the point where the line crosses the y axis

<u>Finding y intercept: </u>

To determine the y-intercept, we set x equal to zero and solve for y

Substitute x = 0 in given equation

y = -3 - 7(0)

y = -3 - 0

y = -3

Thus the y intercept is (0, -3)

8 0
2 years ago
The word geometry has eight letters. three letters are chosen at random. what is the probability that two consonants and one vow
olga nikolaevna [1]

Answer:

0.536 is the required probability.

Step-by-step explanation:

 We have been given the word the word "GEOMETRY"

we have to find the probability that two consonants and one vowel are chosen:

Number of consonants are: 5

Number of  vowels are: 3

Hence, The required probability is: \frac{^5C_2\cdot ^3C_1}{^8C_3}

Using: ^nC_r=\frac{n!}{(r!)(n-r)!}

\frac{\frac{5!}{3!\cdot 2!}\cdot\frac{3!}{1!\cdot 2!}}{\frac{8!}{3!\cdot 5!}}

Simplifying the above expression:

\frac{\frac{5\cdot 4\cdot 3!}{3!\cdot 2}\cdot {\frac{3\cdot 2!}{2!}}}{\frac{8\cdot 7\cdot 6\cdot 5!}{5!\cdot 3\cdot 2}}

Further simplification after cancelling out the common terms we get:

\Rightarrow \frac{30}{56}=\frac{15}{28}=0.5357=0.536

Hence, Option 1 is correct.


4 0
2 years ago
Read 2 more answers
Other questions:
  • A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
    10·2 answers
  • The substitution property of equality allows you to say that if 7j + 14k = 28 And j = 2 then
    8·2 answers
  • Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
    6·1 answer
  • PLEASE!IT'S URGENT!!! Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry.
    14·2 answers
  • In March, Delphine's house had 40% more snowfall than in February. Delphine's house had f centimeters of snowfall in February.A.
    7·2 answers
  • TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip,
    6·1 answer
  • How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?
    7·2 answers
  • What is the domain of f?
    9·2 answers
  • Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is
    8·1 answer
  • A football team loses 2 yards every 5 minutes. How many yards did the team lose after 15 minutes?​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!