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
lara [203]
2 years ago
7

PLEASE HELP How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly

complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is (choose) 4,5,8,10 units. The width of the rectangle is (choose) 4,5,8,10 units. The area of the rectangle is (choose) 10,16,20,25 square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is (choose)
10,16,20,25
square units.

Mathematics
2 answers:
Artyom0805 [142]2 years ago
7 0

Answer:

Length = 5

Width = 4

Area = 20

Triangle area = 10

Step-by-step explanation:

The length of the rectangle = the longest leg = 5 units

The width of the rectangle = the shortest leg = 4 units

The area of the rectangle = width x length = 4 x 5 = 20 units²

The area of the triangle = 1/2 the area of the rectangle = 20 ÷ 2 = 10 units²

Yuri [45]2 years ago
6 0

Just add a similar triangle from the opposite side

Then what happens

  • Hypotenuse of this triangle becomes common and diagonal of the rectangle.

Now

  • Length=L=5
  • Breadth=B=4

Area

\\ \tt\hookrightarrow LB=5(4)=20

  • Area of triangle=20/2=10units^2
You might be interested in
Please help me and I’ll give you brainiest!!!!!!!!! <br><br><br><br> Have a wonderful day!!:)))
Elena L [17]

The answer would be

y=-1/2x +4

8 0
2 years ago
Una bañera en forma de trapecio tiene un area de 60 metro ademas se sabe que su base mayor es 3/2 mas grande que su base menor c
valkas [14]

Respuesta:

3,2 metros

Explicación paso a paso:

Área del trapecio:

A = 1/2 (a + b) h

h = altura; ayb son las bases

Área, A = 60

Sea una base más pequeña = a = 18;

b = 18 + 3/2 = 19,5

La altura se puede calcular así;

60 = 1/2 (18 + 19,5) h

60 * 2 = 37,5 horas

120 = 37,5 h

h = 120 / 37,5

h = 3,2 metros

4 0
2 years ago
What the answer for 1/4 x 12
coldgirl [10]
Treat 12 as 12/1 that means 12 divided into 1 part
1/4 times 12/1

multiply the top and the bottom becuase

\frac{x}{y} times \frac{z}{t} = \frac{x times z}{y times t} so

1/4 times 12/1=(1 times 12)/(4 times 1)=12/4=3/1=3

the answe ris 3
4 0
3 years ago
Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

12t=\log_{1.0054}3,

t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

5 0
2 years ago
Read 2 more answers
The side of a square is 2^7/2. Using the area formula A = s^2, determine the area of the square.
sergij07 [2.7K]
The answer is 49 square inches?

5 0
3 years ago
Read 2 more answers
Other questions:
  • The radius of the cone is 1.5 inches, and its height is 3 inches. If the diameter of the bubble gum ball is 0.5 inches, what is
    8·1 answer
  • A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the ave
    14·1 answer
  • Solving equations 9x-6=48
    5·2 answers
  • What does 4x+y=5 in finding x and y intercepts?​
    15·1 answer
  • 4 less than 10 times a number = 126
    8·2 answers
  • Help Solving Exponential Functions
    8·2 answers
  • Solve the following equation algebraically please
    5·1 answer
  • 11. In circle H, if mDHG = (11x - 36)* and mGHF = (x + 12), find mDG.
    7·1 answer
  • The diameter of a circle is 24 millimeters. What is the circle's circumference? Use 3.14 for .​
    15·2 answers
  • find the number set which satifies each of the problems If 20 is added to the number, the absolute value of the result is 6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!