Answer:
15cm and 12cm
Step-by-step explanation:
From the question,The ratio of the length and breadth of a rectangle is 5 to 4
We assume The Lenght of the field= 5x
The breadth = 4x
Area= (5x × 4x)= 180
20x^2= 180
X^2=
X= √9
X=3cm
The Lenght of the field= 5×3= 15cm
The breadth = 4×3=12cm
Calculate the discriminant and determine the type and number of solutions for each quadratic equation. 2x2−28x=−48 discriminant: Number of solutions: Type of Solutions: Rational or irrational:
Answer:
Discriminant = 100
Number of solutions = 2
Type of solution = Real and Unique
Rational or Irrational: Rational
Step-by-step explanation:
Given the quadratic expression;
[tex]2x^2 - 28x= - 48 \\[/tex]
Rewrite in standard form
[tex]2x^2 - 28x+ 48= 0 \\[/tex]
Divide through by 2;
[tex]x^2 - 14x + 24 = 0[/tex]
From the expression;
a = 1, b = -14 c = 24
Discriminant determines the nature of the root of the quadratic equation;
Discriminant D = b² - 4ac
Substitute the given values;
D = (-14)² - 4(1)(24)
D = 196 - 96
D = 100
Since the discriminant is greater than zero this means that the solution will be real and unique values.
Get the number of solutions;
Using the formula;
x = -b±√D/2a
x = -(-14)±√100/2(1)
x = 14±10/2
x = 14+10/2 and 14-10/2
x = 24/2 and 4/2
x = 12 and 2
Hence the equation has 2 solutions.
The solutions are rational since we can write then as a ratio of two integers
Find the slope of the line that passes through the pair of points ? (5, 6), (7, –2)
Answer:
[tex]m=-4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, 6)
Point (7, -2)
Step 2: Find slope m
Substitute [SF]: [tex]m=\frac{-2-6}{7-5}[/tex]Subtract: [tex]m=\frac{-8}{2}[/tex]Divide: [tex]m=-4[/tex]dog water kid o earnings no pr literally free so free
Answer:
huh??? I'm confused lol
Answer:
what do u mean???
Step-by-step explanation:
look at the photo answer the question on separate paper make sure you are correct
WHOEVER ANSWERS FIRST CORRECTLY GETS BRAINIEST AND GETS 30 POINTS!!
Answer:
7) 480 m³
8) 84 ft³
Step-by-step explanation:
7) 8 x 6 x 4 = 192
12 x 6x 4 = 288
192 + 288 = 480
8) 6 x 4 x 2 = 48
6 x 3 x 2 = 36
36 + 48 = 84
Answer plsss
I’m on the 7th question from my math packet help plsss
And I’m almost done so pls
Answer: First step would be to do whatever is inside the parentheses.
Step-by-step explanation:
PEMDAS
Select the correct answer which function is increasing at the highest rate?
Answer:
for anyone who needs it: the answer was C.
Step-by-step explanation:
i got it correct on plato test
The current population of humming birds is currently 1,500. The population grows 10% each month. Determine the population of humming birds in:
1 month, 2 months, 6 months, and in 1 year.
If you can do all of these, I will give brainliest :)
f(x) = x + 2x + 12
for the following function, select the x-intercepts and y-intercept
Answer:
Y intercept is 12 x intercept is -4
Step-by-step explanation:
Uma piscina possui 5 m de comprimento, 3 m de largura e 2,5 m de profundidade. Calcule: a) A quantidade de azulejo necessária para forrar a piscina b) A quantidade de água que cabe nessa piscina. c) seu volume em m3
Answer:
a) 70 azulejos
b) 37500 litros
c) 37.5m³
Step-by-step explanation:
A piscina tem 5 m de comprimento, 3 m de largura e 2,5 m de profundidade.
Comprimento = 5m
Largura = 3m
Profundidade (altura) = 2,5 m
Calcular:
a) A quantidade de ladrilhos necessária para cobrir a piscina
Isso é calculado como a área de superfície da votação
A = 2 (wl + hl + hw)
A = 2 × (3 × 5 + 2.5 × 5 +2.5 × 3)
A = 70 m²
Observe que:
1 m² = 1 azulejo
70 m² = 70 azulejos
b) A quantidade de água que pode caber na piscina.
1 m³ = 1000 litres
O volume de uma piscina = Comprimento × Largura × Altura
= 5m × 3m × 2.5m
= 37.5m³
1 m³ = 1000 litros
37.5m³ =
37.5 × 1000 litros
= 37500 litros
c) seu volume em m³
O volume de uma piscina = Comprimento × Largura × Altura
= 5m × 3m × 2.5m
= 37.5m³
If (x-2,6)=(4,y+2)then the value of x=_____and y=____
x=6 , y = 4
Step-by-step explanation:
( x-2,6)=(4,Y+2)
this means; (x-2) &( 4) stands for" x "axis.
and( 6 )& (y+2) stands for y axis.
So, we can say( x-2)=X1 & (4)=X2 , (6)=Y1 & (y+2)=Y2
then; to Solve The Equation we use The Formula: X1=X2 for "X" And Y1=Y2 for "Y".
Solution: for "X" ; X1=X2
x-2= 4
x=4+2
x=6
For "Y" ; Y1=Y2
6 = y+2
y=6-2
y=4
finally check ; ( (x-2),6) = (4,(y+2) )
(6-2),6 = (4,(4+2) )
( (4),6) = (4,(6) )
(4,6) = (4,6)
so, X1 =X2 ; 4 = 4
Y1 = Y2 ; 6 = 6
what is this equation -3 +9 +-3
Answer:
3
Step-by-step explanation:
sorry its a little blurry but what is it
Answer:
C
Step-by-step explanation:
Solve for X
-2(5x-5.5) + 8= -9x+2-(-5)
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesCombining Like TermsStep-by-step explanation:
Step 1: Define
-2(5x - 5.5) + 8 = -9x + 2 - (-5)
Step 2: Solve for x
Distribute: -10x + 11 + 8 = -9x + 2 + 5Combine like terms: -10x + 19 = -9x + 7Add 10x to both sides: 19 = x + 7Subtract 7 on both sides: 12 = xRewrite: x = 12Simplify 4x-3x(-3x+15)
Hi, can someone explain to me what Constant of proportionality is using an example problem because I don't understand it.
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
what is the pruduct of -6 and 7
Answer:
-42
Step-by-step explanation:
.
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What is an equation of the line that passes through the point (-2,-3)(−2,−3) and is parallel to the line 5x+2y=14
Answer:
y=5/2x+2
Step-by-step explanation:
rearrage equation: y=5/2x-7
new slope is same: y=5/2x+b
substitue point (-2,-3):
-3=5/2(-2)+b
-3=-5+b
-3+5=b
2=b
James started an apple orchard with the trees he already had and then planted 25 more. Now his orchard contains 44 trees. How many trees did James start out with?
A train traveled at a speed of 60 miles per hour for 5 hours. How far did the train travel?
O 12 miles
O 30 miles
O 120 miles
O 300 miles
Answer:
d
Step-by-step explanation:
The train traveled for a distance of 300 miles
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of the train be S = 60 miles per hour
The time taken by the train to reach the destination = 5 hours
So ,
The distance traveled by the train = Speed of the train x Time taken
= 60 x 5
= 300 miles
Therefore , the distance traveled by the train is 300 miles
Hence , The train traveled for a distance of 300 miles
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Please! Find the values of x,y and Z
Answer:
x = 24
y = 10
z = 17
Explanation:
It's long to explain, so heres a picture of how solved each. hope this helps!! :)
I really need help with this question.
Write the equation of the line that pass through the points below. Write your answer in Point-Slope Form or Slope-Intercept Form. Do NOT use any spaces in your answer.
(2, 17), (4, 7)
Equation:
Answer:
Please check the explanation.
Step-by-step explanation:
Given the points
(2, 17)(4, 7)Finding the slope between (2, 17), (4, 7)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:17\right),\:\left(x_2,\:y_2\right)=\left(4,\:7\right)[/tex]
[tex]m=\frac{7-17}{4-2}[/tex]
[tex]m=-5[/tex]
We know the Point-Slope Form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here:
m is the slope(x₁, y₁) is the pointsubstituting the values m = -5 and the point (2, 17) in the Point-Slope Form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 17 = -5 (x-2)[/tex]
Thus, the answer Point-Slope Form is
[tex]y - 17 = -5 (x-2)[/tex]
It can be further simplified to write into the Slope-Intercept Form
[tex]y - 17 = -5 (x-2)[/tex]
y-17 = -5x+10
y = -5x+10+17
y = -5x+27
Thus, the answer in the Slope-Intercept Form (y=mx+b)
y = -5x+27 ∵Slope-Intercept Form → y=mx+b
25 POINTS AND BRAINLY(dont answer if u don't know it)
Geologists have taken a collection of samples of a substance from a proposed mining site and must identify the substance. Each sample is roughly cylindrical, and the volume of each sample as a function of cylinder height (in centimeters) is V(h) = 1/4 πh^3. The mass (in grams) of each sample in terms of height can be modeled by M(h) = 1/4 h^3 − h2 + 5h. Write an expression that represents the density of the samples.
(Hint: D = M/V)
D(h) = __________
write in simplest form 1/3 times 1 1/3
Answer:
3 2/3
Step-by-step explanation:
Use a calculator please
Bob and Cheryl are taking a road trip that is 181.60 miles. Bob drove
3
4
of the total distance.
How many miles did Bob drive?
28 is 7 times what number?
please help its for 6th graed
HELP NEEDED ASAP ............ Please get me the right answer otherwise i am gonna get 76 instead of 80 ! Giving 20 points
Answer:
2nd and 4th options are correct
Step-by-step explanation:
Here, let’s work with the number of tablespoon of lemon juice
From the question ;
2 servings = 1/2 tea spoon
So 4 servings = 2 * 1/2 = 1 tea spoon
Let us convert this to table spoon
3 teaspoon = 1 table spoon
1 teaspoon = x table spoon
3 * x = 1
x = 1/3 tablespoon
As we can see, this is not any part of the options
Let us check for 6 servings
6 servings = 3 * 1/2 = 1.5 tea spoon
From the question;
3 tsp = 1 tbsp
1.5 tsp = x tbsp
x * 3 = 1.5
x = 1.5/3
x = 1/2 tbsp
As we can see, second option is correct
second part
we are working with vinegar
For 2 servings = 2 tbsp of vinegar
4 servings = 2 * 2 = 4 tbsp of vinegar
From the question
2 tbsp = 1/8 cup
4 tbsp = x cup
x = (4 * 1/8)/2 = 1/2/2 = 1/4 cup
For 6 servings
= 3 * 2 = 6 tbsp
From the question;
2 tbsp = 1/8 cup
6 tbsp = x cup
2 * x = 6 * 1/8
x = 6 * 1/8 * 1/2
x = 3/8 cups of vinegar
So therefore, options 4 and 2 are correct
Determine the intercept of the line
PLEASE HELP THANK U!
Answer:
the fist one
Step-by-step explanation:
Hope it helps
Isaac works as a cook at a restaurant. He started this week with 800 potatoes. On Monday, he used 380 potatoes. On Tuesday, he used 270 potatoes. How many potatoes were left at the end of Tuesday?
Answer:
The number of Potatoes remaining is = 150
Step-by-step explanation:
From the information given above,
On first day of the week (Sunday),
Total potato = 800
The number used include:
Monday = 380
Tuesday = 270
Total potato used = Monday + Tuesday
= 380 + 270 = 650
Remaining Potato = 800 - 650 = 150
From the top of tower, the angle of depression to a stake on the ground is 60°. The top of the tower is 80 feet above the ground. How far is the stake from foot of the tower?
Answer:
The stake is 80√3 ft or 138.56ft away
Step-by-step explanation:
let the distance from the stake to the foot of the tower=x
tan(60°)=x/80
x=80tan(60°)
x=80√3 ft
The distance of the stake from the foot of the tower is 46.189 feet.
What are trigonometric functions?Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given the angle of depression is 60°
60° is the angle from the stake to the top of the tower due to alternative angles,
height of tower = 80 feet
let the distance of the stake from tower be x
using tangent to find the distance,
tanФ = perpendicular/base
perpendicular = 80 feet
base = x
Ф = 60°
tan60 = √3
tan60 = 80/x
x = 80/1.732
x = 4.189 feet
hence stake is 46.189 feet from the tower.
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