The length of the canvas where Melany will mark the position of the hanger is 1.6 feet.
The given parameters:
length of the canvas = 8 feet
dimension of the hanger = [tex]\frac{1}{5} \ of \ the \ shoe's \ length[/tex]
To find:
the length of the canvas where Melany will mark the position of the hanger.The length of the canvas where Melany will mark the position of the hanger is calculated as follows:
[tex]location \ of \ the \ hanger = \frac{1}{5} \times 8\ ft\\\\location \ of \ the \ hanger = 1.6 \ ft[/tex]
Thus, the length of the canvas where Melany will mark the position of the hanger is 1.6 feet.
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The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square.
Find the side of the triangle (Hint: An equilateral triangle has three sides the same length.)
The side of the triangle is __in3. - in. - in2.
) A club on campus is selling Entertainment coupon books for $30 each. It costs the team $10 to
buy each book. The club has 500 books. The team's profit P(n) is given by the following
function where n represents the number of books sold.
p(n) = 30n - 5000
a. What does the 30n represent?
b. What does the 5000 represent?
c. How much profit would they make if they sold 400 books?
Answer: hola
Step-by-step explanationno
Stewart's car can hold a maximum of g gallons
in its gas tank, and gas costs c dollars per
gallon. If the car currently has 2 gallons of gas
in the tank, what is the cost, in dollars, to fill up
the rest of the tank?
The formula that gives us the cost, in dollars, to fill up the rest of the tank is,
Cost = (g - 2) × c
Given that;
The car currently has 2 gallons of gas and can hold a maximum of g gallons,
Hence, the amount of gas needed to fill the tank is,
(g - 2) gallons.
If the cost of gas is c dollars per gallon, the total cost to fill up the rest of the tank can be calculated by multiplying the number of gallons needed by the cost per gallon:
Cost = (g - 2) × c
Thus, the formula that gives us the cost, in dollars, to fill up the rest of the tank is,
Cost = (g - 2) × c
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18. Prime numbers are closed under subtraction.
True or false
Answer: False
=======================================
Explanation:
We simply need one counterexample to disprove the original claim.
The values 5 and 11 are prime, but 11-5 = 6 is not prime.
We see that taking two primes, and subtracting them, leads to some value outside the set of primes. Therefore, the set of primes is not closed under subtraction.
What is another way to write the equation 7/8 x + 3/4=-6 ?
Answer:
1st
Step-by-step explanation:
..............
HELPPP!!!!!!
How far is weather station A from the storm?
44.6 miles
19.7 miles
42.2 miles
31.2 miles
This value is approximate.
============================================================
Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
----------------
To sum things up so far, we have these known properties of triangle ABC
angle A = 107 degreesside c = side AB = 24 milesangle B = 42 degreesangle C = 31 degreesLet's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
The weather station A is 31.2 miles from the storm
From the triangle shown:
m<B = 90° - 48°
m<B = 42°
m<A = 17° + 90°
m<A = 107°
m<A + m<B + m<C = 180° (Sum of angles in a triangle)
107° + 42° + m<C = 180°
m<C = 180° - 149°
m<C = 31°
The distance between the weather stations A and B = 24 miles
That is, AB = 24 miles
The storm is at point C
The length AC is found by using the rule of sines:
[tex]\frac{sinC}{AB}=\frac{sinB}{AC} \\\\\frac{sin31}{24}=\frac{sin42}{AC} \\\\\frac{0.515}{24} = \frac{0.669}{AC} \\\\0.02146=\frac{0.669}{AC}\\\\AC=\frac{0.669}{0.02146} \\\\AC=31.2 miles[/tex]
The weather station A is 31.2 miles from the storm
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PLEASEE!! do at least one of the problems and show work!!!
For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.
8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2
9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2
Step-by-step explanation:
8. b1 = (2×401.94)/19.8 - 14.4
= 40.6 - 14.4 = 26.2 cm
9. h = (2×205)/(20+21)
= 410/41
= 10cm
Which expression represents the distance between 4.7 and -11.2 on the number line?
Drag and drop the correct expression into the box.
|4.7-11.2| |-11.2-4.7|
|4.7+(-11.2)|
|11.2-4.7|
Answer:
1st option
Step-by-step explanation:
Calculate the distance using the absolute value function, that is
distance = | 4.7 - (- 11.2) | = | 4.7 + 11.2 | = | 15.9 | = 15.9
or
distance = | - 11.2 - 4.7 | = | - 15.9 | = 15.9
Answer:
The first answer
Step-by-step explanation:
I just know it was the right answer on k12
B is between A and C if AB = 2x + 5, BC = 3x - 8, AC = 22
So it's
x =
AB =
BC =
Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answer:
105 per hour = x
Step-by-step explanation:
You subtract the parts cost of 77 from the total first.
497 - 77 = 420
Then you divide the 420 by 4 to get the unit rate per hour.
420/4
= 105
find m<YDC
please help!
Answer:
∠YDC measures 140°.
Step-by-step explanation:
We can consider using the Exterior Angle Theorem. According to the theorem, the exterior angle of a triangle is equal to the two opposite interior angles.
In other words:
[tex]\displaystyle m \angle YDC = m\angle DCB + m\angle CBD[/tex]
Substitute:
[tex]\displaystyle (15x + 5) = (80) + (6x+6)[/tex]
Solve for x. Combine like terms:
[tex]15x + 5 = 6x + 86[/tex]
Simplify:
[tex]9x = 81[/tex]
And divide. Hence, the value of x is:
[tex]x = 9[/tex]
∠YDC is given by:
[tex]\displaystyle m\angle YDC = 15x + 5[/tex]
Since we now know the value of x, substitute and evaluate:
[tex]\displaystyle \begin{aligned} m\angle YDC &= 15x + 5 \\ &= 15(9) + 5 \\ &= 135 + 5 \\ &= 140^\circ\end{aligned}[/tex]
In conclusion, ∠YDC measures 140°.
Cho hình chóp có cạnh đáy là hình vuông cạnh bằng . Tam giác cân tại và mặt bên vuông góc với đáy, biết . Tính thể tích của khối chóp .
Answer:
Ah Here We Go Again :) After Five Years
( x+y)² + 2(x+y)×(x-y)+(x-y)²
Step-by-step explanation:
4x is the real answer of that question
Help help help help help help help help help help help
Pls
Answer:
$7.10
Step-by-step explanation:
Step 1: We make the assumption that 35.5 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=35.5$.
Step 4: In the same vein, $x\%=20$.
Step 5: This gives us a pair of simple equations:
$100\%=35.5(1)$.
$x\%=20(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
Step 7: Taking the inverse (or reciprocal) of both sides yields
Hope this helps <3
One angle of a right triangle measures 7º. What is the measure of the other acute angle?
Let other be x
Using angle sum property
[tex]\\ \rm\Rrightarrow x+7+90=180[/tex]
[tex]\\ \rm\Rrightarrow x+97=180[/tex]
[tex]\\ \rm\Rrightarrow x=180-97[/tex]
[tex]\\ \rm\Rrightarrow x=83°[/tex]
I WILL GIVE CORRECT ANSWER BRAINLIEST
Start with the equation 6•0= 0 to explain why 6•-10 must equal -60.
Drag descriptions and equations to the table to complete the explanation.
please look at picture attached,
thank you
Answer:
Given = 6 x 0 = 0
Step 2 = Substitute. Any number plus its opposite equals 0 (10 +-10)
Step 3 = Use the distributive property
Step 5 = Subtract 60 from both sides
Step 6 = Simplify to solve for 6 x -10
is a rectangle. EA is 12 in. Find the length of the diagonal .
12 in.
24 in.
6 in.
26 in.
Answer:
hey please saw the figure
Answer:
Step-by-step explanation:
its 24
A rectangular trampoline has an area of 204 squaſe feet. The length of the trampoline is 17 feet. What is the width?
Answer:
width = 12 ft
Step-by-step explanation:
A = w * l
w = a/ 1 = 204/ 17 = 12 ft
Gear X has 12 cogs (teeth) and turns
clockwise at 30 revolutions per
minute. Gear Y has 24 cogs and gear
Z has 6 cogs
How fast and in which direction does
gear Z turn?
Help me with this math question plss
Answer:
C. 8/17
Step-by-step explanation:
PM = 16+14 = 30 cm
KP= LN = 16×tan45° = 16×1 = 16cm
by using pythagorean theorem, we find :
KM² = PM²+KP²
= 30²+16²
= 900+256
= 1156
=> KM =√1156 = 34cm
so, cos theta = KP/KM = 16/34 = 8/17
can someone help me ?
Answer:
r = - 29
Step-by-step explanation:
Given
- 3r = 87 ( divide both sides by - 3 )
r = [tex]\frac{87}{-3}[/tex] = - 29
Answer:
here,we have-3r= 87now,r=87÷ -3
r= -29
Hi I need help On his Multiple Choice questions Try)- and not get it wrong or I cant Complete My Maths Work. The Question itself is on the Image attached Below: thanks!
Answer:
a) Option A is correct.
b) Option B is correct.
Step-by-step explanation:
[tex]a) \: \: 5 \times a \\ = 5a[/tex]
[tex]b) \: \: b \times b \\ = {b}^{2} [/tex]
Hope it is helpful.....can someone help me
please??
Help please thank you
Distribute the figure into three rectangles, namely, A, B and C as shown in the picture.
We know that,
Area of a rectangle
= 2(l + b)
Now,
Consider rectangle A,
Length = 25in
Breadth = 15in
Hence,
Area = 2 (l + b)
= 2 (25 + 15)
= 2 (40)
= 80in²
Consider rectangle B,
Length = 25 - 7 = 18in
Breadth = 16in
Hence,
Area = 2 (l + b)
= 2 (18 + 16)
= 2 (34)
= 68in²
Consider rectangle C,
Length = 11in
Breadth = 24in
Hence,
Area = 2 (l + b)
= 2 (24 + 11)
= 2 (35)
= 70in²
Area of the figure
= Area of rectangle A + Area of rectangle B + Area of rectangle C
= 80in² + 68in² + 70in²
= 218in²
Find H.C.F of 75100,125900& 270
Answer:
10
Step-by-step explanation:
Only the third number is divisible by 3. So the HCF is 2 * 5 = 10
That's the most that is common between all three numbers.
The first two only have a HCF of 100. Nothing else goes into both of them.
3/5 of the T-shirts and a T-shirt shop are blue 5/8 of those T-shirts are on sale 1/3 of the blue T-shirts that are on sale or size medium what fraction of the shops T-shirts are blue T-shirts that are on sale and are size medium
Answer:
yes their size is medium
please help me with these. i need the steps and everything. i’m so lost
Answer:
Are you in geometry?
For question 5:
To solve for x:
Triangle to the right with the 72 degrees in one angle.
All triangles add up to 180.
Subtact 72 from 180 = 108
Now we need to find the two other angles of that triangle.
We know that the two given eqations for that triangle is 6x-2 and 11x-9 (remeber the property creating the area of intersection, two congruent angles, so the equation 11x-9 applys for both triangles.)
So for the triangle to the right;
(6x-2) + (11x-9) = 108
lets add like terms next
17x - 11 = 108
add 11 to 108
17x = 119
divide 17 from both sides
x = 7
Now we need to find y.
On triangle to the right we have 30degrees. Lets subtract 30 degrees from 180. This equals 150.
We can plug in 7 to the equation 11x-9 which give us 68.
We now know to angles of the triangle. Lets subtract 68 from 150.
We get 82.
The last angle is 82, Which means lets find y.
5y - 8 = 82
add 8 to both sides
5y = 90
divide by 5 to both sides
y = 18
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try number 6. on your own to see if you get it know. If you don't, comment to me regarding what you don't understand.
The coordinates of the vertex A of Triangle ABC are ( -4 ,2) and D the mid-point of BC are ( 2 , 5 ).Find the
coordinates of the centroid .
Answer:
(0,4)
Step-by-step explanation:
The line AD is a median, because D is the midpoint of BC.
The centroid is the point of intersection of three medians of triangle, we don't need to depict any another median, because we know that centroid divide each median in ratio 2:1 from the vertices of a triangle from which a median was depicted. That's obvious that the median AD was depicted from A. Let the point of centroid be M. AM:MD is 2:1. So we should find the coordinates of D
xD= (xa*1+xd*2)/ (2+1)= ((-4)*1+2*2)/3=0
yd= (ya*1+yd*2)/ (2+1)= (2*1+ 5*2)/3=12/3=4
(0,4)
The factorisation of 10xᴧ2 – 18xᴧ3 + 14xᴧ4 is
(≧▽≦)( ◜‿◝ )♡
this is the symbol for no spamming
Answer:
[tex] {10x}^{2} - 18 {x}^{3} + {14x}^{4} \\ [/tex]
factorise out x² :
[tex] = {x}^{2} (10 - 18x + 14 {x}^{2} )[/tex]
then factorise out 2:
[tex] = 2 {x}^{2} (7 {x}^{2} - 9x + 5)[/tex]
Is 2π a rational or an irrational number
Answer:
it is irrational number