Answer:
3^2 + 21 /3
9 + 7
16✓
Answer
A rectangle has a length of 22 meters less than 7 times its width. If the area of the rectangle is 7805 square meters, find the length of the rectangle.
Answer:
Let x=Width
Length = 7x-22 (22m less the 7 times width)
A=L*w
A=(7x_22)x
7805=7x^2-22x
7x^2-22x-7805=0
(7x-223) (7x+223)=0
7x-223=0
7x=223
x=223%7
x=35
Now,
Length =7x-22
=7(35)-22
=223
therefore,length =223
If the area of the rectangle is 7805 square meters, The length of the rectangle will be 223 units
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, A rectangle has a length of 22 meters less than 7 times its width. If the area of the rectangle is 7805 square meters,
Suppose the width of the rectangle is x.
Length = 7x-22 (22m less the 7 times width)
A=L*w
A=(7x_22)x
7805=7x²-22x
7x²-22x-7805=0
(7x-223) (7x+223)=0
7x-223=0
7x=223
x=223/7
x=35
As a result
Length =7x-22
=7(35)-22
=223 units.
Thus, if the area of the rectangle is 7805 square meters, The length of the rectangle will be 223 units
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
Find the slope of each line.
2
Answer: m=3/2
Step-by-step explanation: the slope starts from the left side and the line is going up meaning its positive, now the line is going up by 3s and to the right in 2s.
log base 2 of x multipy 1/3 times base 2 of x
Answer:
[tex] log_{2}(x) \times \frac{1}{3} log_{2}(x) \\ \\ = log_{2}x + log_{2}(x) {}^{ \frac{1}{3} } \\ \\ { \boxed{ \boxed{= log_{2} \{x + ({x})^{ \frac{1}{3} } \}}}}[/tex]
Kaylee has a 7/12 yard piece of lace that she is using to make doll dresses. She
needs 1/8 yard for each dress. Which expression can be used to show how
many dresses she can make from the lace?
The expression that can be used to show how many dresses she can make from the lace is [tex]\frac{7}{12}[/tex] ÷[tex]\frac{1}{8}[/tex]
In order to determine how many dresses can be made from the lace, divide the yards of the lace by how many yards are needed to make the dress
Number of dresses that can be made = [tex]\frac{7}{12}[/tex] ÷ [tex]\frac{1}{8}[/tex]
Solving this equation, 4 dresses can be made from the lace
7/12 x 8/1 = 4.67 dresses
A similar question was solved here: https://brainly.com/question/9328992
what is
The lines below are perpendicular. If the slope of the green line is
the slope of the red line?
m =
O A. 2
O B. -
Oc.
OD. -
Answer: the slope of perpendicular lines are opposite and reciprocal.
First line slope is 3/2. The slope of the second line is - 2/3
First line slope is 2. The other line slope is -1/2
Step-by-step explanation:
The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are there?
Step-by-step explanation:
let the ration be c
3x and 4x
Now
3x +4x=24
help with both for brainiest plz
Answer:
1. (3,0)
2. 3 miles
Step-by-step explanation:
1. You can use any online coordinate plane or make one yourself on graph paper) graph each point on the coordinate plane you will see the diagonal line segment that is forming. connect the points on the graph. From that, you can see they are 2 squares away so just count down 2.
2. Again, graph the points on a coordinate plane and you can count each grid box until you count 3 boxes right on the axis and 1 grid= 1 mile 3 grids= 3 miles
I could use some help w/ explanation please
9514 1404 393
Answer:
$2400
Step-by-step explanation:
The question is asking the amount invested in fund B. We can let 'b' represent that amount. Then the amount invested in fund A is (6000-b). The total profit from the investments is ...
0.02(6000 -b) +0.07(b) = 0.04(6000)
120 +0.05b = 240 . . . . . simplify
0.05b = 120 . . . . . . . . . subtract 120
b = 2400 . . . . . . . . . . .divide by 0.05
Alonzo invested $2400 in fund B.
What is the Gcf of 10 and 6?
The GCF of 10 and 6 is 2. May this will help you.
There are 4 fewer markers than crayons . There are 6 markers . How many cranyons are there
f(x) = 3x – 9 evaluate
Answer:
x = 3
Step-by-step explanation:
Step 1: 0 = 3x - 9
Step 2: -3x = -9
Step 3: x = 3
There are 6 times as many dogs as cats . If the total number of dogs and cats is 21 , how many dogs are there?
Answer:
126 cats .................
126 dogs........
Suppose the largest angle of a triangle is the sum of the other two angles. Find the smallest angle of the
triangle if it is one 16th of the largest angle. Provide answer in decimal form.
Answer:
fhfgb
Step-by-step explanation:
ffhfdhdd
Here we want to make a system of equations and solve it for the smallest angle of a triangle.
We will find that the smallest angle is 5.625°
First, let's define the variables:
a₁ = smallest angle
a₂ = middle angle
a₃ = largest angle.
We know that the sum of all interior angles of a triangle is equal to 180°, then we can write:
a₁ + a₂ + a₃ = 180°
We also know that:
"the largest angle of a triangle is the sum of the other two angles"
This can be written as:
a₃ = a₁ + a₂
And we know that:
"The smallest angle is one 16th of the largest angle"
Then:
[tex]a_1 = \frac{a_3}{16}[/tex]
Writing together these 3 equations we get our system:
a₁ + a₂ + a₃ = 180°
a₃ = a₁ + a₂
[tex]a_1 = \frac{a_3}{16}[/tex]
Now we want to solve this for a₁
To do it we need to replace equations into other equations.
How do we do this?
Notice that in the third equation we have:
a₃ = a₁ + a₂
Then we can replace it in the first equation:
a₁ + a₂ + a₃ = 180°
(a₁ + a₂) + a₃ = 180°
a₃ + a₃ = 180°
2a₃ = 180°
a₃ = 180°/2 = 90°
a₃ = 90°
Now we can use the last equation:
[tex]a_1 = \frac{a_3}{16}[/tex]
To get the value of the smallest angle:
[tex]a_1 = \frac{90 \°}{16} = 5.625 \°[/tex]
If you want to learn more, you can read:
https://brainly.com/question/12895249
Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
Answer:
1360
Step-by-step explanation:
there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.
Please anyone to show me how this mathematics question is done..please
9514 1404 393
Answer:
(i) 55.59 km/h
(ii) 3600 nautical miles ≈ 6670.8 km
(iii) 30°N 29.3°E
Step-by-step explanation:
(i) The speed in km/h requires a units conversion.
(30 kt/h)(1.853 km/kt) = 55.59 km/h
__
(ii) Here, we assume we're interested in the distance traveled. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)
distance = speed × time
distance = (30 kt/h)(120 h) = 3600 nautical miles
= (55.59 km/h)(120 h) = 6670.8 km
__
(iii) The radius of the 30° latitude line is ...
(6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km
The relationship between arc length (s) and central angle (α) is ...
s = rα
So, the change in the vessel's longitude is ...
α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°
Then town B has longitude ...
40°W -69.3° = -29.3°W = 29.3°E
The position of town B is about 30°N 29.3°E.
_____
Additional comment
The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.
Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.
In his garden Tim plants the seed
3 1/2 in. below the ground. After one month the tomato plant has grown a total of 6 in. How many inches is the plant above the ground?
Answer:
2 1/2 in.
Step-by-step explanation:
6 - 3 1/2 this is the answers
how to write nine thousands in standard form
9,000
I hope this helps!
name the value of the digit 484,002,000 and the 8 is underlined.
Answer:
ITS 80,000,000
In triangle LTM, segment XY is the perpendicular bisector of side TM.
Consider point P on segment XY. If TM = 6 centimeters and TP = 5 centimeters, what's the length of PM?
A. 2.5 CM
B. 5 CM
C. 6 CM
D. 10CM
Answer:a 5cm
Step-by-step explanation:
10. The Earth’s escape speed (the speed you need to get away forever) is about 25,000 miles per hour. Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping. Based on your understanding of gravity, how will the escape speed from the Moon compare to the escape speed from Earth?
a. The Moon’s escape speed will be greater than Earth’s
b. The Moon’s escape speed will be smaller than Earth’s
c. The Moon’s escape speed will be exactly the same as Earth’s
d. The Moon’s escape speed will change depending on whether it’s a crescent Moon or a full Moon
e. The Moon’s escape speed will be balanced by the Earth being so close and it will be zero
1. The perimeter of the equilateral triangle below is 75. Solve for the value
of x.
5x
75
5
15
50
Answer:
x = 5Step-by-step explanation:
Given,
Perimeter of a triangle = 75
One side of the triangle = 5x
Therefore,
By the problem,
5x + 5x + 5x = 75
=> 15x = 75
=> x = 75/15
=> x = 5 (Ans)
algebra 2 question:
i know it is a three system equation, i would just like to know the three equations and how to get them.
ill solve it myself to save you time if ever sent, thank you
Answer:
x + y + z = 49
2.50x + 7y + 1.50z = 147
y + 7 = z
Step-by-step explanation:
Before you even start setting up the equations, create variables for information needed, but not given in the problem:
Variable x = number of tacos
Variable y = number of burritos
Variable z = number of sodas
The first piece of information we are given is the number of items so make this into an equation:
x + y + z = 49
Next we are told how much everything cost in total so make this into an equation:
2.50x + 7y + 1.50z = 147
Lastly, we are informed Rosa bought 7 more sodas than burritos so form an equation using this information:
y + 7 = z
Find the difference of 0.0014 and 0.00061. Write your answer in scientific notation the correct answer gets Brainly
Answer:
7.9000 × [tex]10^{-4}[/tex]
Step-by-step explanation:
0.0014 - 0.00061 = 0.00079
0.00079 in scientific notation = 7.9000×10^-4
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
8 cm, 10 cm , 12 cm
Answer:
96cm^2
Step-by-step explanation:
[tex]area \: of \: parallelogram \\ = 12cm \times 8cm \\ = 96 {cm}^{2} [/tex]
how to solve (2x+2)-(x+5)=0
Answer:
x = -7
Step-by-step explanation:
2x+2-x+5=0
x+2+5=0
x+7=0
x = -7
So the answer is -7
Given:
[tex]\to \bold{ (2x+2)-(x+5)=0}[/tex]
To find:
x=?
Solution:
[tex]\to \bold{ (2x+2)-(x+5)=0}\\\\\to \bold{ (2x+2-x-5)=0}\\\\\to \bold{ (x-3)=0}\\\\\to \bold{ x-3=0}\\\\\to \bold{ x=3}\\\\[/tex]
Learn more:
brainly.com/question/75616
How many terms are in the following expression?
-4a +8C -4b +3
Answer: 4 terms
Step-by-step explanation:
-4a , 8c, -4b, and 3
3p squared + 6p + 18 divided by p - 6
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Answer:
3p +24 +162/(p-6)
Step-by-step explanation:
The result of the division can be found using polynomial long division, or using synthetic division. The latter requires less writing and gives the same answer:
[tex]\dfrac{3p^2+6p+18}{p-6}=3p+24+\dfrac{162}{p-6}[/tex]
Evaluate the expression x²+yz for x=-3, y=5, and z=2
Answer:
19
Step-by-step explanation:
- To evaluate this expression, we simply have to substitute the variables for their values.
x²+yz
(-3)² + (5)(2)
9 + 10
= 19
Carmen owns 8 shares of stock. The total value of her shares went down by $32. What was the change in value?
9514 1404 393
Answer:
-$32
Step-by-step explanation:
The value went down by $32.
Expressed as a signed integer, the value in dollars changed by -32.
draw 2 4/5 as a picture
Answer:
Draw two circles, fill them in, then another circle split into 5 parts, and fill in 4 of the parts
Step-by-step explanation:))))