For the given area 15 m², The length of rectangle is 3 and breadth is 5.
The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.
Given,
Let length of rectangle = L
Breadth of rectangle = B
According to the question,
L = 2B - 7
Area = 15 m²
Area of rectangle = Length × Breadth
⇒ 15 = (2B - 7)(B)
⇒ 15 = 2B² - 7B
⇒ 2B² - 7B - 15 = 0
⇒ 2B² - 10B + 3B - 15 = 0
⇒ 2B(B - 5) + 3(B - 5) = 0
⇒ (2B + 3)(B-5) = 0
⇒ B = 5 or B = -3/2
The value of Breadth cannot be negative
L = 2(5) - 7
L = 3
The length of rectangle is 3 and breadth is 5.
To learn more about area of rectangle from given link
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what do u mean by trigonometry
Answer:
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Basic Formulas
By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.
Main Trigonometric Functions
Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cotBoth depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.
(hope this helps can i plz have brainlist :D hehe)
QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .
x =
m(triangle shape)ZTV = _ degrees
Solution :
It is given that Z is the incenter
So, we get from the figure
[tex]$5x +1= 8x -14$[/tex]
⇒ [tex]$-3x = -15$[/tex]
⇒ x = 5
So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]
We have to find ∠ ZTU.
In Δ UTV,
∠ TUV + ∠ UTV + ∠ TVU = 180°
⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°
⇒ ∠ UTV = 180° - 52° - 42°
= 86°
So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]
[tex]$ = \frac{1}{2} \times 86^\circ$[/tex]
[tex]$=43^\circ$[/tex]
Therefore, m ∠ ZTU = 43°
Brendan has $65 worth of balloons and flowers delivered to his mother. He pays the bill plus an 8.5% sales tax and an 18% tip on the total cost
including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive it he pays with two $50
bills ? Round to the nearest cent
Answer:
6.77
Step-by-step explanation:
Answer:
Step-by-step explanation:
letter d is 7 someone help me please!!!!
Answer:
The answer is A. -7
Step-by-step explanation:
76 + 41 = 117
117 + 70 = 187
187- 7 = 180
Hope this helps
Answer:
A -7
Step-by-step explanation:
the angles of a triangle add up to 180
76+41+70 = 187-7 180
The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width
Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.
Step-by-step explanation:
Step 1
The perimeter of a rectangular atrium is given as 2( l+b)
The perimeter of a rectangular atrium is 300 yards.
Let the width be represented as x
such that the
The length of the garden which is ninety-six yards more than the width is expressed as x+ 96
and the expression to solve for length and width will now be
Step 2
Perimeter = 2(l+b) = 2l + 2b
300=2( x+96) + 2 x
300= 2x+ 192 + 2x
300= 192+ 4x
300-192=4x
108=4x
x=108/4
x=27
width = 27 yards
length = x+ 96= 27 +96=123 yards
pls help me thank you!
Answer:
D.
If possiable may i have brainlist?
116 is less than a number, R increased by 35?
Answer:
R - 116 + 35 is your expression I am pretty sure
Find the area of the shaded region.
Answer:
80
Step-by-step explanation:
multiply 10 by 8
(If it is not right... i apoligize but i don't see a shaded region)
Answer:
80 in
Step-by-step explanation:
To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in
Hope this Helped
help brainliest if right
Answer:
y = 1x + 7
Step-by-step explanation:
The equation formula for this scenario is y = mx + b
m = slope
b = y-intercept
To find the slope, pick two points. I picked (2,9) and (4,11).
Subtract 11 from 9, you'll get 2.
Subtract 4 from 2, you'll get 2.
2/2 equals 1. The slope (m) = 1
To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept. For this case, the y-intercept is 7.
The equation is: y = 1x + 7
An airplane is flying at a constant speed. The airplane descends 450 meters in 9 seconds. Write the speed of the airplane as an integer.
Answer: Speed = 50meters/ second
Writing as an integer becomes + 50meters/ second 0R 50meters/ second
Step-by-step explanation:
Speed is given as = Distance / Time
distance covered by Airplane = 450 meters
Time = 9 seconds
Therefore, Speed = 450/ 9 = 50 meters/second
Roberto can lift 103.5 pounds. That is .9 times the amount his friend Vance can lift. Can Vance lift more or less than 103.5 pounds?
Answer:
Step-by-step explanation:
Vance can lift 0.9×103.5 pounds.
0.9 < 1, so you know that
0.9×103.5 < 103.5
Mary drove from her home to the library after she left the library she drove to the park after that she drove home the map shows the past you took how far did Mary Drive?
Answer:
24 miles
Step-by-step explanation:
Distance formula (d):
D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Home to library
(-4, 1) ; (-4, 9)
D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)
D1 = 8
Library to park :
(-4, 9) ; (2, 1)
D1 = sqrt((2 + 4)^2 + (1 - 9)^2)
D3 = 10
Park to home :
(2, 1) ; (-4, 1)
D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)
D2 = 6
Answer the photo below thanks
Answer: C. Never
Similar polygon are never different shapes. They are always the same shape. As usual, read the question carefully before choosing an answer.
Step-by-step explanation: hope this help:)
Si se organizan los niños de mayor a menor de acuerdo con su estatura, ¿cuál es el orden correcto? A. Andrés, Samuel, Laura y Valeria. B. Samuel, Andrés, Valeria y Laura. C. Laura, Valeria, Andrés y Samuel. D. Valeria, Laura, Samuel y Andrés.
Answer:
A. Andres, Samuel, Laura y Valeria.
Step-by-step explanation:
The height of Andres is greater than all other students. Andres has height of 4.2feet. Samuel is second highest in height and he has height of 4.0 feet. The lowest height student is Valeria who has 3.5 feet height.
Daniel want to know the volume of his cube, he notices the the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer: 1/125cm³
Step-by-step explanation:
The volume of a cube is gotten by multiplying the side length given by itself thrice.
Since the cube in the question has a side length of 1/5cm, the volume of the cube will be:
= 1/5 × 1/5 × 1/5
= 1/125cm³
Therefore, the volume of the cube is 1/125cm³
Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?
Answer:
100 miles
Step-by-step explanation:
a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30
4 elephants
20 monkeys
6 zebras
//
z - 2 = elephants
(6) - 2 = 4 elephants
5(e) = monkeys
5(4) = 20 monkeys
20 + 4 + 7 = 30
HEEEEELP The height of a street light is 50 feet. It casts a 40−foot shadow. At the same time, a man standing next to the street light casts a 5−foot shadow. How tall is the man?
Answer:
5 foot
Step-by-step explanation:
Which expression is equivalent to |a|≤5 ?
a ≥ –5 or a ≤ 5
a ≥ –5 and a ≤ 5
a ≤ –5 and a ≥ 5
a ≤ –5 or a ≥ 5
Answer:
I think its the first one but not 100 % sure
Step-by-step explanation:
Answer:
A>= -5 and A<= 5
Step-by-step explanation:
PLEASE HELP ME ASAP FOR BRAINLIST AND EXPLAIN
Answer:
Option B (4/9)
Step-by-step explanation:
Probability is the number of outcomes that you would want to happen over the number of all outcomes that are possible. On each dice, there are 4 numbers less than five. Now we need to find all possible combinations of these numbers and we do that by mulitply 4 x 4.
4 x 4 = 16
Now we just find the number of all possible outcomes and that would be...
6 x 6 = 36
Now 16 over 36 will be...
16/36 = 4/9
A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.
a. approx. 51.3°
b. approx. 32.0°
c. approx. 38.7°
d. approx. 58.0°
Answer:
A) 51.3 degrees
Step-by-step explanation:
cosine x=15/24=0.625
x=51.32 degrees
Find the x-intercept and and y-intercept algebraically
y = log2 (x + 1) - 3
need work
Answer:
x intercept is 7 y intercept is -3
Step-by-step explanation:
Write equation out and have y=0
[tex] log_{2}(x - 1) - 3 = 0[/tex]
Add 3 to both sides
[tex] log_{2}(x - 1) = 3[/tex]
Using the log to exponet rule
[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]
Where b and x are real numbers and b cannot equal 1.
Reorder the equation as a exponet
[tex] log_{2}((x + 1) = 3[/tex]
[tex] {2}^{3} = x + 1[/tex]
Simplify
[tex]8 = x + 1[/tex]
Subtract 1 from both sides
[tex]x = 7[/tex]
So the x intercept is 7
To find y intercept plug 0 in as x
[tex] log_{2}(0 + 1) - 3 = y[/tex]
[tex] log_{2}(1) - 3 = y[/tex]
Add 3 to both sides
[tex] log_{2}(1) = y + 3[/tex]
Rewrite in exponet form
[tex] {2}^{y + 3} = 1[/tex]
Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation
[tex]y + 3 = 0[/tex]
Subtract 3 from both sides and we get
[tex]y = - 3[/tex]
So the x intercept is 7 and the y intercept is -3
WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.
If the circumference of a circle is 62.8 feet what is the radius of the circle
Answer: r≈ 9.99ft
Using the formula
C=2 π r
Solving for r
r= C/2π = 62.8/2·π ≈9.99493ft
how to find lateral surface and total surface area of triangular prism
Answer:
using the formula ...........duh
Answer:
Lateral Surface Area of a Triangular Prism Formula
Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.
What is the value of 2 (38 –14) + 38 = 9?
Answer: 2(38−14)+38=?9
86≠9
False
Step-by-step explanation: hope this help
May you please help me with this
Answer:
ratio of a is 44:56, ratio of b is 97:3
fraction of a is 44/100, fraction of b is 97/100
decimal of a is 0.44, decimal of b is 0.97
percent of a is 97%, and percent of b is 97%
if this is wrong im so sorry :()()()()(
step-by-step explanation:
Johnny is standing on a platform 12 meters high throw ball up velocity 11 meters what time will ball hit the ground after 2 seconds
Answer:
The ball will hit the ground after 1.54 seconds
Step-by-step explanation:
This is a form of projectile motion in horizontal direction
Thus, time taken to reach the ground
[tex]t = \sqrt{\frac{2*d}{g} }[/tex]
Substituting the given values in above equation, we get -
[tex]t = \sqrt{\frac{2* 12}{10} } \\t = 1.54[/tex]seconds
Si una persona compra diariamente 2 1/2 de carne ¿Cuántos kilogramos de carne habrá comprado en 6 días? -15 kilos -16 kilos -17 kilos -20 kilos
Answer:
Kg de carne= 15 kg
Step-by-step explanation:
Dada la siguiente información:
Una persona compra 2.5kg de carne por día.
Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:
Kg de carne= kg por día*cantidad de días
Kg de carne= 2.5*6
Kg de carne= 15 kg
if k is the incenter of def find each measure
Answer:
Step-by-step explanation: