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
Brut [27]
3 years ago
8

On a test I was given 2 triangles. One triangle gave measurements of all three sides as 2, 4, and 5. The next triangle had sides

given 4 and 8 and it asked what the third side should be if the triangles were perpendicular.
How would I solve this? Do I find the perimeter of each triangle?
Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
Are you sure the word you're looking for is perpendicular? Perpendicular means at a 90° angle, which in your case, would mean the two triangles would be exactly the same. Did you mean mathematically similar? Because if so, I can tell you that the third side would be 10, using scale factor.
You might be interested in
Thanks for the help! Been stuck on this one for a little while.
igor_vitrenko [27]

Answer:

B. \sqrt{14}

Step-by-step explanation:

Since 3.74 is rounded to the hundredths place, it is not the ideal exact solution for m^2 = 14.

To solve for m you would have to square root m and 14, which gives you \sqrt{14}. This is the best answer for the problem.

8 0
3 years ago
What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a h
azamat

Answer:

62.4 square centimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of the triangular pyramid is equal to the area of the triangular base plus the area of its three lateral triangular faces

In this problem the triangles are equilateral, that means, the

surface area is equal to the area of four congruent equilateral triangles

so

A=4[\frac{1}{2}(b)(h)]

we have

b=6\ cm\\h=5.2\ cm

substitute

A=4[\frac{1}{2}(6)(5.2)]=62.4\ cm^2

3 0
3 years ago
Arc MNP equals 126. O is the center. Find angle MOP
Paha777 [63]
We know that

the angle MOP is equal to arc MNP because is a central angle

the answer is 
angle MOP=126°
3 0
3 years ago
Solve i + j + t (3i - j) = -i + s (j)<br> In the context of Vector Equations of a Line
Oksana_A [137]

Answer:

r = i + j + (-2/3)(3i - j)

Step-by-step explanation:

Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant

if a = i + j ; b = t(3i - j) and r = -i +s(j)

for this to be true all the vector components must be equal

summing i 's

i + 3ti  = -i; then t = -2/3

j - tj = sj; then s = 1-t; substitue t; s=1+2/3 = 5/3

so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j

3 0
2 years ago
Plz hurry!!!! thank you!!!!
Nikitich [7]

Answer:

Area of trapezium = 4.4132 R²

Step-by-step explanation:

Given, MNPK is a trapezoid

MN = PK and ∠NMK = 65°

OT = R.

⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).

Now, sum of interior angles in a quadrilateral of 4 sides = 360°.

⇒ x + x + 65° + 65° = 360°

⇒ x = 115°.

Here, NS is a tangent to the circle and ∠NSO = 90°

consider triangle NOS;

line joining O and N bisects the angle ∠MNP

⇒ ∠ONS = \frac{115}{2} = 57.5°

Now, tan(57.5°) = \frac{OS}{SN}

⇒ 1.5697 = \frac{R}{SN}

⇒ SN = 0.637 R

⇒ NP = 2×SN = 2× 0.637 R = 1.274 R

Now, draw a line parallel to ST from N to line MK

let the intersection point be Q.

⇒ NQ = 2R

Consider triangle NQM,

tan(∠NMQ) = \frac{NQ}{QM}

⇒ tan65° = \frac{NQ}{QM}

⇒ QM = \frac{2R}{2.1445}

QM = 0.9326 R .

⇒ MT = MQ + QT

          = 0.9326 R + 0.637 R  (as QT = SN)

⇒ MT = 1.5696 R

⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R

Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).

⇒ A = (\frac{NP + MK}{2}) × (ST)

       = (\frac{1.274 R + 3.1392 R}{2}) × 2 R

       = 4.4132 R²

⇒ Area of trapezium = 4.4132 R²

5 0
3 years ago
Other questions:
  • What are the positive and negative square roots of 121/4900 in fraction form?
    11·1 answer
  • Zekia divides 6 cups of fruit juice equally among 8 friends. 2 of her friends don't drink the juice. How much is leftover? Thank
    13·2 answers
  • What is the measure of TWX? <br> PLEASE ANSWER ASAP
    13·1 answer
  • Which of these expressions is equivalent to m^2 - n^2 - 14n - 49?
    5·1 answer
  • If Julia has 20 cupcakes, and 10 people eat one cupcake, how much cupcakes are left?
    7·2 answers
  • This is the question click it ​
    5·2 answers
  • Solve the equation.<br> 2(x + 5) = 2x – 3
    5·1 answer
  • Deborah has $56 in her bank account currently. She earns $8 per hour at her job at the local ice cream shop. Micah has $32 in hi
    14·1 answer
  • The cylindrical block has a height of 4 inches and a radius of 2 inches find the total surface area of the block
    8·1 answer
  • 6sacks of potatoes weigh 122.4 kg and 4 sacks of onions weigh 50 kg. What is the total amount of 1 sack of potatoes and 1 sack o
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!