Answer:
4 m
Step-by-step explanation:
Since the flower garden is square :
Both length and width are equal :
Let :
Original side length = x
Increased length = x + 3
Area of square = s² (s = side length)
New area = 49 m²
That is ;
(x + 3)² = 49
Original length, x can be calculated thus ;
Take square root of both sides
x + 3 = √49
x + 3 = 7
x = 7 - 3
x = 4
Hence, original length of each side = 4 m
Make X the subject of the formula
[tex]y = \sqrt{ax + b} [/tex]
Answer:
[tex]x = \frac{y {}^{2} - b }{a} [/tex]
Step-by-step explanation:
[tex]y = \sqrt{ax + b} \\ y {}^{2} = ax + b \\ ax = y {}^{2} - b \\ x = \frac{y {}^{2} - b }{a} [/tex]
Answer:
x = [tex]\frac{y^2-b}{a}[/tex]
Step-by-step explanation:
Given
y = [tex]\sqrt{ax+b}[/tex] ( square both sides )
y² = ax + b ( subtract b from both sides )
y² - b = ax ( isolate x by dividing both sides by a )
[tex]\frac{y^2-b}{a}[/tex] = x
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?
Answer:
$4.7 (approx)
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
What is the value of a in the equation 4a + 3(a + 1) = 24?
A. 2
B. 3
C. 7
D. 21
Answer:
B. a = 3
Step-by-step explanation:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a + 3 = 24
7a + 3 - 3 = 24 - 3
7a = 21
7a ÷ 7 = 21 ÷ 7
a = 3
Answer:
B
Step-by-step explanation:
Given
4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side
4a + 3a + 3 = 24
7a + 3 = 21 ( subtract 3 from both sides )
7a = 21 ( divide both sides by 7 )
a = 3 → B
Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided
Answer:B
Step-by-step explanation:
A(3;4) in the parabola.
The answer B: y=(x-3)^2 +4.
y=yA=4; x=xA= 3
=> 4=(3-3)^2+4 (right)
Select the correct answer.
You're given three angle measurements of 30° 70°, and 80°. How many triangles can you construct using these measurements?
OA 0
OB.
OC 2
OD. infinitely many
Reset
Next
Edmentum. All rights reserved.
Answer:
infinitely many
Step-by-step explanation:
All triangles that you can construct will be "similar", in that they have the same angles, but different sizes. The angles have to add up to 180, and they do in the measurements that you're given.
WILL MARK BRAINLIST!!
Answer:
24 units
Step-by-step explanation:
Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.
24 units
////////////
ok pls help i’m so bad at this
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Step-by-step explanation:
PLEASE HELP DONT SKIP I NEED YOU
Find the number of different outfits that can be made from 3 sweaters, 4 shirts, and 6 pants. Then find the probability of selecting a particular sweater, shirt, and pants outfit.
outcome -
Probability (as a fraction) -
Answer:
72 outfits possible,
1/72 chance of selecting a particular outfit
Step-by-step explanation:
For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally [tex]3\cdot 4\cdot 6=72[/tex] outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is [tex]\boxed{\frac{1}{72}}[/tex]
change for the interval from x = 8 to x = 9.
A. 19,683
B. 13,122 O
C. 3
D. 6561
Answer:
its b
Step-by-step explanation:
nahazbzbzhzhzhzhshhs
====================================================
Explanation:
We keep multiplying each rate of change by 3
The rate of change from 6 to 7 is 486*3 = 1,458The rate of change from 7 to 8 is 1,458*3 = 4,374The rate of change from 8 to 9 is 4,374*3 = 13,122 which points us to choice B-----------------
Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.
The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)
Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.
Plug in n = 9 and we get 2(3)^(9-1) = 13,122
I NEED HELPPP is it 112 or 56 ?????
Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit
Answer:
D = 3 √5 units
Step-by-step explanation:
Here, we want to find the distance between these two points
to get this, we use the distance formula as follows
D = √(x2-x1)^2 + (y2-y1)^2
so we have for (3,-6) and (9,-3)
D = √(3-9)^2 + (-6 + 3)^2
D = √(36 + 9)
D = √(45)
D = 3√5 units
hahaha help:)))))))))
Answer:
1332 i think is how it will be writen
Step-by-step explanation:
Answer:
121,212
Step-by-step explanation:
im not 100% sure
Please help me with questions 6) ii), iii) and d). I’ve been trying for so long.
Answer:
5,000
Step-by-step explanation:
if i have £100000 what is 47.6% OF THE MONEY
Answer:
Step-by-step explanation:
it maybe 11,000 i am not sure but i hope this helped
Answer:
47,600.00
Step-by-step explanation:
I just did a math test with that exact same Question.
Find the surface area of the cone in terms of pi
17 cm height
3 cm radius
Not drawn to scale
Answer:
[tex]60\pi\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of a cone with radius [tex]r[/tex] and slant height [tex]\ell[/tex] is equal to [tex]SA=\pi r\ell+r^2\pi[/tex].
What we're given:
[tex]r[/tex] of 3 cm[tex]\ell[/tex] of 17 cmSubstituting given values, we get:
[tex]SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}[/tex]
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
Math item stem image
CLEAR SUBMIT
97 muffins
100 muffins
101 muffins
120 muffins
Answer:
120 muffins
Step-by-step explanation:
If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.
Hope this is helpful
1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *
what is the cost for 23 yards of cloth at 85.62 per yard
Answer:
1,969.26
Step-by-step explanation:
If a yard costs 85.62, we can present this as;
y = 85.62
Therefore, to find the cost of 23 yards, we can represent the above equation as;
23y = x
since we already know the value of y, we can say that
x = 23(85.62)
so,
x = 1,969.26
If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will be used
Answer:
The answer is below
Step-by-step explanation:
Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:
The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x
25% of 1000 ml = 70% of x + 5% of (1000 - x)
25000 = 70x + 5000 - 5x
Simplifying gives:
65x = 25000 - 5000
65x = 20000
x = 308 ml
Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.
Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system
Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?
Answer:
2270 grams
Step-by-step explanation:
If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270
Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT
To determine where the maximum is for the graph of F(x)
If the area is 30cm and the length is 13,23 cm., what will be the width in
cm?
Answer:
ok so the standard equation for finding the area of a equation is BH=A
so if the lenth is 1323 and the width is unknown other wise X
we can make an equation
1323X=30
so we divide 30 by 1323 which is
X=0.02267573696 so
The width is about 0.023 cm
Your Welcome
BIFFY OUT!!!
Sina + sin2a + sin3a + ... + Sinna
Answer:
sinasinasinasinaStep-by-step explanation:
this ia my answer pag pinagsama lahat ng sina
List all the even numbers less than 50,
then find the probability that a number
selected at random:
a) is a multiple of 5.
b) is between 10 and 30.
c) is the number 12.
d) has its square less than 40.
Step-by-step explanation:
Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}
Total=24
Multiples of 5={10,20,30,40}
Probability (multiple of 5)=4/24
=1/6
P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28
Total=9
Probability=9/24
=3/8
Probability is number 12
=1/24
Probability it has square less than 40
=(4,36)
Two numbers
Probability=2/24
=1/12
Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B
10 points to answer this question. Determin the numerical length of VW.
Answer:
9
Step-by-step explanation:
4x-7 + 3x = 5x -1
7x - 7 = 5x +1
2x = 8
x = 4
VW = 4x - 7
= 4(4) - 7
= 16-7
= 9