The approximate area of the triangular base of James’ tank is 3025 in²
To find the approximate area of the triangular base of James' tank, we need to know what scale is.
What is scale?A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension
Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.
The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²
= (11/4)²
= 121/16
Let
A = area of triangular base of James' tank, A' = area of triangular base of Julian's tank = 400 in²So, scale, S = A/A'
The approximate area of the triangular base of James’ tankSo, making A subject of the formula, we have
A = SA'
A = 121/16 × 400 in²
A = 121 × 25 in²
A = 3025 in²
So, the approximate area of the triangular base of James’ tank is 3025 in²
Learn more about area of triangle here:
https://brainly.com/question/27436493
#SPJ1
In an orchard, there are 15 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
A: 41:1
B: 15:14
C: 1:15
D:15:1
NO LINKS
Answer:
D 15:1
Step-by-step explanation:
15 apple trees
26 orange trees
1 cherry tree
apple trees : cherry trees
15 : 1
Answer: D 15:1
2x-17=51+61
Super easy!
[tex] \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}[/tex]
[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Solution :-[tex]\Longrightarrow\sf{2x- 17 =51 +61}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x- 17= 112}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x = 129}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{x = \frac{129}{2}}[/tex]
[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
[tex]{\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}[/tex]
SOLUTION =>2x - 17 = 51 + 61
[tex]{\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}[/tex]
[tex]{\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}[/tex]
2x = 112 + 17
2x = 129
[tex]{\blue{x = {\pink{ \frac{129}{2} }}}}[/tex]
two supplementary angles have measures 6x° and 12x°. find each angle measure’
A race course is 26.2 miles long. Of the entire race course, 5% is uphill. How many miles of the race course are uphill?
Answer:
1.31 miles of the race course are uphill
Step-by-step explanation:
Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.
Hope this helped :)
need help on my aleks chapter 5 lesson 3
Answer:
65º
Step-by-step explanation:
Angles in a triangle add to 180º so:
180- 44 - 71 = 180 - 115 = 65º
What is the area of this figure? Please help.
Answer:
Step-by-step explanation:
PLEASE HELP ME
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level a.
n=11, a = 0.01
A r=+0.735
B r=+0.602
C r= 0.765
D r= 0.735
125% of what number is 45?
Answer:
36
Step-by-step explanation:
125%*x=45
125%x=45
x=36
You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads.
For this case we have the following notation:
y= the number of minutes that you read
x = the number of minutes that your brother read
And we have that you decide to read 30 minutes longer than your brother, so the equation would be:
y = x+30
And for the other part of the question if x =15 we got:
y = 15+30 = 45
Step-by-step explanation:Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.
How many minutes will you read if your brother reads for 15 minutes?"
Solution to the problemFor this case we have the following notation:
y= the number of minutes that you read
x = the number of minutes that your brother read
And we have that you decide to read 30 minutes longer than your brother, so the equation would be:
y = x+30
And for the other part of the question if x =15 we got:
y = 15+30 = 45
Please help and thank you!
x=[?]
Answer:
10 = x
Step-by-step explanation:
I believe <B = <E.
<B = 50 = <E = 5x
50 = 5x
10 = x
ANSWER QUICK SUPER EASY 99 PTS I JUST DONT REMEMBER
Find the value of tan θ, if cos θ =
Answer:
B
Step-by-step explanation:
please answer asap!! show work!
12. What is (f - g)(x)?
f(x) = 4x4 - 5x2 + 2
g(x) = x3 - 2x2 + x - 4
Answer:
[tex]4x^4-x^3-3x^2-x+6[/tex]
Step-by-step explanation:
1. [tex](f-g)(x)=(4x^4-5x^2+2)-(x^3-2x^2+x-4)[/tex]
2. [tex]4x^4-5x^2+2-x^3+2x^2-x+4[/tex]
3. Simplify = [tex]4x^4-x^3-3x^2-x+6[/tex]
may someone help me please?
Step-by-step explanation:
Radio=
Normal Price = K48.
Discount 20%
Selling Price
look at the attachment and solve
The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.
What is a perpendicular bisector?A perpendicular bisector of a line segment is a line segment that is perpendicular to and passes through the middle of the line segment (left figure). A line segment's perpendicular bisector can be drawn using a compass by drawing circles centred at and with radius and connecting their two intersections.
The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.
Learn more about Perpendicular Bisector:
https://brainly.com/question/24753075
#SPJ1
when A complete 1/3 part of any work B can complete 1/4 part of that same work. Similarly when B complete 1/5 part of that work C can complete 1/2 part of that same work. if A can complete that work in 20 hours, then in how many hours can C complete that work.
Answer:
10.672hrs ( maybe)
Step-by-step explanation:
A can complete the work in 20 hrs then 1/3 part can be completed in 20*1/3=6.67hrs
B can complete the 1/4 part of the work in same time then B can complete hole work in 6.67*4=26.68 hrs
B can complete the 1/5 part of work in 26.67/5=5.336hrs
according to question C can complete 1/2part of work in same time then the whole work can complete in
2*5.336=10.672hrs
The temperature at midnight was -8°C. The temperature at 5 am was -3°C. (a) Work out the difference between the two temperatures. (b) The temperature at midday was 9°C higher than the temperature at 5 am.. Work out the temperature at midday.
a) The difference between the temperatures is 5°c.
b) We will see that at midday, the temperature is 12°C.
How to find the differences between the temperatures?
We know that at midnight the temperature was T = -8°C, and at 5am the temperature was T' = -3°C.
a) First we want to find the difference between the temperatures, we can compute that directly:
T' - T = -3°C - (-8°C) = 5°C
This means that the temperature increased 5°C in that time interval.
b) At midday, the temperature was 9°C higher than at 5am, this means that:
T'' - T' = 9°C
T'' - 3°C = 9°C
Now we can solve this for T''
T'' = 9°C + 3°C = 12°C
At midday, the temperature is 12°C.
If you want to learn more about temperature.
https://brainly.com/question/25290815
#SPJ1
The sum of three number is 99. The second number is 9 more than the first the third number is 4 times the second. What are you numbers?
Answer:
First Number=9
Second number=18
Third Number=72
Step-by-step explanation:
let's take the first number as X
X+(9+X)+[4(9+X)]=99
X+9+X+36+4=99
6X=99-45
X=54/6
X=9
DUE BEFORE 11 PM
SOLVE THE TRIANGLE
The third angle of the triangle will be ∠B = 71°.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that:-
Two angles are ∠A = 42° and ∠C=67°The third angle will be calculated as:-
∠A + ∠C + ∠B = 180
42 + 67 + ∠B = 180
∠B = 180 - 42 - 67
∠B = 71°
Therefore the third angle of the triangle will be ∠B = 71°.
To know more about an angle follow
https://brainly.com/question/25770607
#SPJ1
Which of the functions below indicates a graph that has been vertically shifted by 3 units?
O y = = 3 log (2)
Oy log (3x)
Оy log (x + 3)
Оy= log (x) + 3
The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.
Which function has been shifted by 3 units?It follows from the task content that the graph which has been shifted vertically is to be identified.
For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.
Read more on function shift;
https://brainly.com/question/23919891
Comanche Ltd closed at $15.89, a $0.43 decrease from the closing price the day before. This is a 2.6% decrease. O A. True O B. False
Answer:
False
Step-by-step explanation:
I am honestly not a hundred percent sure but I´ll let you know after the test..
Farmer keeps 64 goats. He keeps 5 times as many cows as goats. How many cows does
keep?
A business serves 24 customers with 64 staff to maintain a strong ratio of staff to guests. How many staff members would be
needed if 229 customers are expected? Calculate to the nearest whole number.
Do not put units, only put the number value for your answer.
Answer:
611
Step-by-step explanation:
[tex]\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}[/tex]
Solve for ? by cross multiplying and isolating ?staff.
You will get (64 x 229) / 24
Your answer will be ~ 611.
Find the length of BC.
BC is 14
DC and BC are equal
3y + 5 = 5y - 1
-3y
5 = 2y - 1
+1
6 = 2y
÷2
3 = y
y=3
Substitute y=3 into 5y-1, to find BC
5y-1
5x3 - 1
15 - 1
14
BC is 14
Hope this helps!
Answer:
Step-by-step explanation:
Let corner angle at C=α
tanα=12;BC=x;AC=xsecα
By a standard property of right angled triangles,
(xsecα)2=x(x+2)
simplify
x=BC=2tan2α=8.
The sketch is not proportionately drawn.Also
AB=4,AC=45–√
If 8 packets of fudge cost R 30,80 what will the price of 14 packets be?
Answer:
53.90
Step-by-step explanation:
30.80/8=3.85 (price per pack)
3.85 x 14 = 53.90
If the volume of a cylinder is 847pi yds^3 and the height is 7 yards, what is the radius?
The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards
Calculating the volume of a cylinderFrom the question, we are to calculate the radius of the cylinder
The volume of a cylinder is given by the formula,
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height
From the given information,
V = 847π yds³
h = 7 yds
Putting the parameters into the equation, we get
[tex]847\pi = \pi r^{2} \times 7[/tex]
[tex]7r^{2} = 847[/tex]
[tex]r^{2} = \frac{847}{7}[/tex]
[tex]r^{2} = 121[/tex]
[tex]r =\sqrt{121}[/tex]
r = 11 yards
Hence, the radius of the given cylinder is 11 yards.
Learn more on Calculating volume of a cylinder here: https://brainly.com/question/27140000
#SPJ1
Round off 380•59 to the nearest whole number easy 5points
Answer:
381
Step-by-step explanation:
that's the nearest whole number
Please help me do this :)))))))
Answer:
x=6
Step-by-step explanation:
BC=7
x+1=7
x=7-1=6
x=6
what valur of x makes the equation below true? 9^5 * 9^7=9^x
Answer:
x=12
Step-by-step explanation:
(9^5)(9^7)=9^x
282429536481=9^x
Step 1: Flip the equation.
9^x=282429536481
Step 2: Solve Exponent.
9^x=282429536481
log(9^x)=log(282429536481)(Take log of both sides)
x*(log(9))=log(282429536481)
x=log(282429536481)/log(9)
x=12
PLS HELP THIS IS MY LAST QUESTION I NEED THIS DONE ASAP PLS DONT DELETE MY QUESTION
Answer:
10 points
Step-by-step explanation:
you just need to subtract the score in game 6 from the score in game 5
Answer:
10
Step-by-step explanation:
Look in the graph.
In game 6, use the last bar to the right in dark blue. The Tigers scored 35 points.
In game 5, use the purple bar. the Tigers scored 25 points.
To find the difference, we subtract.
35 - 25 = 10
Answer: 10
WILL GIVE BRAINLIEST 50 POINTS
1. Are the side lengths congruent?
2. Are the opposite sides parallel?
3. Are the adjacent sides perpendicular?
Answer:
1:If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 2:All sides are equal in length. Diagonals bisect each other at a 90-degree angle. The sum of any two adjacent interior angles is 180 degrees. Opposite sides are equal and parallel to each other.3:Each pair of opposite sides is parallel, and adjacent sides are perpendicular. This means that every angle in a rectangle is a right (90∘) angle.
Step-by-step explanation:
