Mathematics High School

The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?

Answers

Answer 1

Answer:

The answer is given below:

Step-by-step explanation:

The computation of the dimension of the pennant is shown below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

where

x represents the base of the traingle

h represent the height that should be (5x - 10)

Now according to the above formula

420 =  1 ÷ 2 × x × (5x - 10)

840 = x(5x - 10)

840 = 5x^2 - 10x

5x^2 - 10x - 840 = 0

5(x^2 - 2x - 168) = 0

x^2 - 2x - 168 = 0

x^ - 14x + 12x - 168

x (x - 14) + 12(x - 14)

(x + 12) (x - 14)

So, here x = 14

Now height would be

= 5(14) - 10

= 60 inches

Related Questions

Can someone help me please

Answers

Answer:A

Step-by-step explanation:

18-(3xeach #)=

All are less than 10

Susan is mailing packages. Each small package costs her $2.30 to send. Each large package costs her $3.20. How much will it cost her to send 1 small package and 3 large packages?

Answers

Answer:

It will cost her $11.90 in total

Step-by-step explanation:

Each small package costs her $2.30 to send. Each large package costs her $3.20

3.2 times 3 = 9.6

9.6 plus 2.3 = 11.9

can someone help me with this problem?

Answers

ANSWER: 21

WHY:

Each number on the left side is multiplied by 3. There are 3 blue marbles in each bag. 7 bags will have 21 blue marbles. 7*3=21


MARK ME BRAINLIEST PLEASE

Help pls, no links those are malware.

Answers

Answer:

98cm^2

Step-by-step explanation:

The triangle is equilateral and each side is 14cm

area of triangle: h*b/2

i think it is 98?....

Which letter corresponds to -3
A
B
C
D

Answers

D. 3

The absolute value is always even.

The answer would be D.

The what is the powerhouse of the cell?

:) :)

Answers

Answer:

Mitochondria is the power house of a cell

Step-by-step explanation:

Answer:

Mitochondria

Step-by-step explanation:

Trust me they will ask you on every interview this question Your welcome

The point 5,4 is reflected over the y-axis. What are the coordinates of the new point?

Answers

Answer:

(5,-4)

Step-by-step explanation:

Quadrant one is positive quadrant two is negative positive quadrant three is negative Quadrant four is positive negative. Therefore, the coordinates of the new point are (5,-4)



A tv costs £900. Work out the price after a 3% price increase.

Answers

Answer:

$975

Step-by-step explanation:

Ok 900 * .03  is 27

27+ 900 is 927

$927

Step-by-step explanation:

a tv=900

100+3=103

103×900=92700

92700÷100

=927

HELPPPP PLEASE 5. An equation for the line whose slope is 5 and which passes through the point
(1) y = 5x +11
(3) y = 5x +21
(2) y = 11.8-2
(4) y = 2x+15

Answers

What’s the point?
y=mx+b
m is the slope
y=5x+b then you substitute the point (x,y) on y and x to find b
Something is missing in this question, slope of 5 could be answer 1 or 3 but the points were not given.

Help plz I need this ASAP

Answers

Picture is not very clear, cannot read the measurements or the answers to help you.

factor the following function completely x^2-4​

Answers

ANSWER: (x+2) (x-2)

WHY: Looked it up on a math website
I forgot how to do this...

Find the values of x and y.

Answers

Answer:

x=21°. :Angles subtended by the same arc

y=42°. :180-(117+21),angles subtended by the same arc

. Campbell's paycheck was $257.20. She put 1/4 of her paycheck in her savings account and used 1/3 of what was left to pay bills. How much money does she have remaining from her paycheck after her bills are paid?

Answers

Answer: $128.60

Step-by-step explanation: She uses $64.30 for her savings account, leaving $192.90. 1/3 of $192.90 is also $64.30. The remaining balance is $128.60

NO FILES PLSSSSSSSSSS

Answers

y = -2x + 1

y = -2x -3

none cuz they're both -2x

Answer: no solution

Step-by-step explanation:

2x+y=1

convert to y=mx+b

y=-2x+1

2x+y=-3

convert to y=mx+b

y=-2x-3

they are parallel

points and brainliest! How's your day? Have you gotten something to eat and givin yourself hydration yet?

Answers

Answer:

no I didn't but why ask ?

Step-by-step explanation:

brainiest pls

Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)

Answers

Given:

Consider the expression is:

[tex]48+12[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]48\div 12[/tex]

It can be written as:

[tex]48\div 12=12\times 4+12\times 1[/tex]

Taking out the GCF, we get

[tex]48\div 12=12(4+1)[/tex]

Therefore, the correct option is B.

Answer:

b. 12 (4+1)

Step-by-step explanation:

hope this helps you {ribbit}

~tsu-chan :p

Se hizo un estudio estadístico sobre la duración de una marca de pilas. Los resultados, en horas, de una muestra de 15 pilas son: 20, 22, 25, 21, 22, 20, 23, 21, 24, 22, 24, 21, 23, 22, 21. Construye una tabla de frecuencias absolutas y relativas. a. Calcula las frecuencias absolutas y relativas acumuladas. b. ¿Qué porcentaje de pilas dura menos de 22 horas? Rta: sumo los hi < 22: 0,13 + 0,27 = 0,4 x 100% = 40% c. ¿Qué porcentaje de pilas dura menos de 21 horas? Rta: los hi < 21: 0,13 x 100% 13,33%

Answers

ok it 20




20,24,20 20concludes of 20

What Is the first step in solving this quadratic equation
X^2+5x=6

A. Combine like terms
B. Set each factor equal to 0
C. Subtract from both sides to set the equation equal to 0
D. Factor

Answers

Answer:

Step-by-step explanation:

We need to move the 6 so that all three terms are on the left and only 0 is present on the right side:  To do this, we (C) subtract 6 from both sides to set the equation equal to 0.

x^2 + 5x - 6 = 0

Giving brainliest please help

Answers

The answer would be 13 because if you put 7 over 56 and on the other side put 104 on the bottom. You multiply 7 by 104 and get 728 and after that you divide it by 56 and get 13.

HELP PLEASE ITS URGENT

Answers

Answer:

C

Step-by-step explanation:

Order matters and B=J. In the answer choice, B is in the middle and so is J.

Answer:

C.

Step-by-step explanation:

D=K

B=J

C=I

They're complementary angles to each other, so- nevermind just trust me.

o - 12
Solution
4.56 x 36
0.12​

Answers

Answer:

164.16 is the answer

Step-by-step explanation:

hwhshshhs

what is the mean price of $29 $58 $15 $129 $75 $22

Answers

55 is your answer
each number added together sums up to $330
there are 6 numbers
if you divide 330 by 6 you will get 55

2 cups of coffee and 3 cops of tea cost £10.10
Three cups of coffee and 3 cups of tea cost £15.10 work out how much one cup of coffee is and one cup of tea is

Answers

Answer:

Fard

Step-by-step explanation:

Hehe funi

Since we have the same cups of tea and one less coffee you just have to do 15.10 - 10.10 which is 5 euros, which means that one cup of coffee is 5 euros and one cup of tea is 3 cents. (Or whatever you use for uk)

How many milliliters are 1/5 liter

Answers

1/5 liters = 200 milliliters

$0.10 divided by 25.

Answers

Answer:

0.4$

Step-by-step explanation:

Answer:

0.10÷25=0.004

Step-by-step explanation:

hope it helps..

have a great day!!

What is the volume of corn held in this cone-shaped grain silo? Use 3.14 for π and round to the nearest cubic foot. Enter your answer in the box.

Answers

Answer:

3014 cubit foot

Step-by-step explanation:

Find the diagram attached

Volume of the cone = 1/3πr²h

r is the base radius of the cone

h is the height

Given

r = 6ft

Get the height using the pythagoras theorem

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8ft

Get the volume

Volume = 1/3πr²h

Volume = 1/3 * 3.14 * 6^2*8

Volume = 3.14 * 12 * 8

Volume =3,014.4

Volume = 3014 cubit foot to the nearest foot

what is the measure of GAB

Answers

Answer:

180°

Step-by-step explanation:

the measure of GAB is 180°

Answer:

TRUBOMAT GAB measures the turbidity of liquid applying nephelometric method. For this purpose, a combined transmitted & scattered beams measurements are used, in which a transmitter and a receiver face each other and another transmitter is arranged orthogonally (at an angle of 90 °).

please mark as brainliest

If a = 7 and b = 3 then, the value of a + 2b is

Answers

the value of a is 13

Step-by-step explanation:

7+2(3)

7+6 = 13

Item 1
Find the surface area of the regular pyramid.

Answers

Answer:

The answer is 16 in. sq.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

16in²

Step-by-step explanation:

SA=2²+4(1/2)(2)(3)

=4+12

SA=16 in²

hope it helps..

have a great day!!

Humble ISD
G 800 x 162
G Should playing tagi
GL
Graded Work: Trig Mixed Practice
Use the inverse trig ratios to find the value of the missing angle. Round to the nearest WHOLE NUMBER.
40
25
Angle

Answers

Answer:

esdfvc

324

Step-by-step explanation:

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