Answer:
The length of other wall is 3 meters.
Step-by-step explanation:
Given that:
Length of one wall = 4 meters
Length of diagonal from one corner to opposite corner = 5 meters
As the room is rectangular, the diagonal will form a right angled triangle.
The diagonal will be the hypotenuse.
Using pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
Here,
a = 4 and c = 5
[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{9}[/tex]
b = 3 meters
Hence,
The length of other wall is 3 meters.
W + 7 < 4 you don’t have to show work
A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex] [tex]\frac{2400}{100} = 24[/tex] $96 - $24 = $72I hope this helps!
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.
Step-by-step explanation:
Kindly make the question clearer for assistance
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
-6
Answer:
O The range of the function is all real numbers greater
than or equal to 0.
Step-by-step explanation:
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
Answer:
C:domain: all real numbers
range: all real numbers greater than 1
Step-by-step explanation:
Edge 2021
A closed box has a square base with side length l feet and height h feet. Given that the volume of the box is 29 cubic feet, express the surface area of the box in terms of l only.
Answer:
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
Step-by-step explanation:
The length of the box = [tex]l[/tex]
The height of the box = [tex]h[/tex]
The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.
The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]
hence volume = [tex]l^2 \times h =29[/tex]
Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.
[tex]h =29/l^2[/tex]
In the next phase, we are to find the surface area of the box.
The box has a square base, hence it will be made up of
2 squares with 4 rectangles. This is assuming the top is closed.
This means the surface area will be
[tex]2(l^2) +4 (l\times h)[/tex]
recall [tex]h = 29/l^2[/tex]
Hence, surface area =
[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
The surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
What is of volume of cuboid?
Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of cuboid or box can be given as,
[tex]V=l\times b\times h[/tex]
Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.
A closed box has a square base with side length l feet and height h feet. Therefore, the length and width will be the same.
The volume of the box is 29 cubic feet. Thus,
[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]
The surface area of the square base box is,
[tex]A=2l^2+4lh[/tex]
Put the value of height,
[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]
Hence, the surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
Learn more about the volume of cylinder here;
https://brainly.com/question/12748872
Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
i need help pls help me
Answer:
yes
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
you have to multiply 2/3 by 27 km
3. Baskin Robbins has a new 3-gallon container of
chocolate chip ice cream. If Baskin Robbins sold
gallon on Monday, how much of the chocolate chip
Ice cream was left at the end of the day, in gallons?
muy
Expression
3 Gallons
Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?
Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches
Answer:
It’s 10 inches, 12 inches, 13 inches
Step-by-step explanation:
I need help...
Please help to find ...
Answer:
NEED TO FIND WHAT
Step-by-step explanation:
Need help if u do I will put brainliest
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
Can someone please help
Answer:20 minutes
Step-by-step explanation:
is the product of 18 negative numbers and 20 positive numbers a positive number or negative
Answer:
positive
Step-by-step explanation:
even negatives = positive
whatever positives = positive
positive*positive = positive
mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?
Answer:
40
Step-by-step explanation:
20 x 2 because you will need 2 bags per kg
find the slope thanks
Answer:
Hello! Just here so the other person can get brainliest. I will do the same for the other questions.
Step-by-step explanation:
Shelley is visiting from London and uses her ATM card to withdraw $200 at local bank B. If local bank B charges $4 for ATM fees per foreign transaction plus 3% of the withdrawal, how much would she own in fees for what transaction? Round to the nearest dollar amount, such as: $6
$5
$4
$10
$7
Answer:
Transaction Fee = $10
Step-by-step explanation:
Transaction fee = $4 for ATM fees per foreign transaction + 3% of the withdrawal
Withdrawal = $200
3% of the withdrawal = 3/100 * $200 = $6
Transaction Fee = $4 + $6 = $10
Find all solutions in the interval [0, 2pi).
tanx+ secx =1
a) x=pi/4
b) x=0
c) x=5pi/4
d) no solution
Answer:
1 should be the answer bi
Step-by-step explanation:
does anyone know this please help
Answer:
It is the 3rd graph
Step-by-step explanation:
It is the only one that shows a porpotional relationship.
Answer:
sry mate.....
............
For which line is the slope least?
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
In the rectangle, find the length of AD.
Answer:
required answer is 9 of your question
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hello :)
Please help me solve this
Explain answer
Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
A community garden center host a plant giveaway every spring to help community members start there gardens. Last year the give away supported 50 families by giving away 150 plants. Based on this ratio hawa many plants will they give away this year in order to support 65 families
Answer:
195 plants (verified) ✅Step-by-step explanation:
We will use a proportion to solve this.
x/y = x/y
let x = the number of families in each case
let y = the number of plants in each case
Since we don't know the second y, we will leave that as y and solve for it.
50/150 = 65/y
Cross-multiply
50y = 9750
Divide
195 = y
Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.
50 (195) = 9750
9750 = 9750 ✅
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.
INCLUDE WORK.
Answer:
y=-0.215x^2+35
Step by Step:
Let, [tex]h=0[/tex], [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]
We know that, the general equation of the parabola.
[tex]y-k = a(x-h)^2[/tex]
[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]
Substitute the value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]
[tex]21=a(8-0)^2+35[/tex]
[tex]\Rightarrow 21=a\times 8^2+35[/tex]
[tex]\Rightarrow 21=64a+35[/tex]
[tex]\Rightarrow 64a=21-35[/tex]
[tex]\Rightarrow 64a=-14[/tex]
[tex]\Rightarrow a=\frac{-14}{65}[/tex]
[tex]\Rightarrow a=-0.215[/tex]
Hence, the equation of the parabola is:
[tex]y=-0.215x^2+35[/tex]