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
coldgirl [10]
3 years ago
9

A hockey team is revealing their championship banner outside their stadium. The banner is in the shape of a triangle with a heig

ht that is 4 times as tall as the base length of the banner. If the total area of the banner is 18 square meters (18m2), what is the length of the base of the banner in meters?
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer: the length of the base of the banner is 3 meters.

Step-by-step explanation:

Assuming the banner is in the shape of a right angle triangle, we would apply the formula for determining the area of a triangle which is expressed as

Area = 1/2 × base × height

Let b represent the base

The banner is in the shape of a triangle with a height that is 4 times as tall as the base length of the banner. It means that the height of the banner is 4b

If the total area of the banner is 18 square meters, it means that

18 = 1/2 × b × 4b

18 = 2b²

b² = 18/2 = 9

b = √9 = 3 meters

You might be interested in
The interest on $2,000 for 2 years is $320. What is the simple interest rate?
umka2103 [35]
R = 8%/year

Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/2)((2320/2000) - 1) = 0.08
r = 0.08

Converting r decimal to R a percentage
R = 0.08 * 100 = 8%/year

The interest rate required to get a total amount, principal plus interest, of $2,320.00 from simple interest on a principal of $2,000.00 over 2 years is 8% per year.
7 0
3 years ago
What is the slope of the line?
3241004551 [841]

Answer:

-4/5

Step-by-step explanation:

Two points that I see are not decimals are (-3,1) and (2,-3)

y1-y2/x1-x2= slope

-3-1/2-(-3)= -4/5

5 0
3 years ago
(a) A tram moved downward 72 meters in 8 seconds at a constant rate. What was the change in
Alex787 [66]

Answer:

a) 9 meters.

b) The total change in temperature was of 288ºC

Step-by-step explanation:

Both these questions can be solved using rules of three.

a) 72 meters in 8 seconds. How many meters it changes each second(in 1 second)?

8s - 72m

1s - x m

8x = 72

x = \frac{72}{8}

x = 9

9 meters.

b) In 1 hour, heated by 6ºC. How much in total during 48 hours?

1h - 6ºC

48h - xºC

x = 48*6

The total change in temperature was of 288ºC

3 0
3 years ago
My assignment says The perimeter of a rectangle is 30 cm.
ale4655 [162]
Let side be "a" cm. So another side is (30-2a)/2=15-a
S=ab=a(15-a)=15a-a^2 - parabola
maximum when  a =  -15/-2=7.5 cm 
When a=7.5 all sides are 7.5 cm 
So it's a square. S=a*a=7.5*7.5=56.25 cm^2 - max
There is no global minimun for S.(look at the graphic)

6 0
3 years ago
Please Help me it’s geometry
mote1985 [20]

Answer:

Option C.

Step-by-step explanation:

Given: In \Delta OPQ,m\angle O=107^{\circ},m\angle P=28^{\circ}.

In \Delta OPQ,

m\angle O+m\angle P+m\angle Q=180^{\circ}    (Angle sum property)

107^{\circ}+28^{\circ}+m\angle Q=180^{\circ}

135^{\circ}+m\angle Q=180^{\circ}

m\angle Q=180^{\circ}-135^{\circ}

m\angle Q=45^{\circ}

Now,

m\angle O>m\angle Q>m\angle P

In a triangle, the greatest angle has largest opposite side and smallest angle has smallest opposite side. So, we conclude that

PQ>OP>QO

Therefore, the correct option is C.

7 0
3 years ago
Other questions:
  • Jenny johnston bought some apples for 79 cents per pound and twice as many pounds of bananas for 39 cents per pound. if her tota
    5·1 answer
  • Kendrick Campbell purchased a $25,000 municipal bond at a quoted price of 93.456 the bond pays annual interest at a rate of 3.7%
    5·1 answer
  • ​Write the expression using exponential form and simplify:<br><br> (3w)(3w)(3w)(3w)(3w)(3w)
    5·1 answer
  • I cannot solve this. I don't know how.
    6·1 answer
  • Which equation can be used to find 40 percent of 25?
    12·1 answer
  • A laptop has a listed price of $892.99 before tax. If the sales tax rate is 8.75%, find the total cost of the laptop wi the sale
    7·2 answers
  • Hey i need help wit ths=is Let f(x)=3x2+5.
    9·1 answer
  • Evaluate without using a calculator sin(90-x)cos(180-x)+tanx.cos(-x)sin(180+x)​
    13·1 answer
  • Plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
    7·2 answers
  • Can someone please help me with the first 2 questions?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!