A rectangle is drawn so the width is 14 inches longer than the height. If the rectangle's diagonal measurement is 26 inches, the height is 10m.
Let the height is H and width is w
So w= 14+H
And diagonal is 26
So if diagonal is d
d^2 = w^2 + H^2 = 26^2
So (14+H)^2 +H^2 = 676
196 +2H^2+28H = 676
H^2+14H-240 = 0
H^2+24H-10H -240 = 0
H(H+24) -10(H+24) = 0
So H =10,-24
So only H = 10m is possible.
So height is 10 m
A diagonal is a line segment that connects two polygonal corners (vertexes), although it is not an edge (side). In other words, it connects any two polygonal vertices that are not neighboring. In a polygon, a diagonal is created by directly connecting any two vertices that are not connected by a side.
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Translate (in terms of x) then solve the algebraic equation: Five times the sum of 6 and some number is 20.
Answer:
x=-2
Step-by-step explanation:
5 times (6 plus x) = 20
6 plus x = 4
x = 4 - 6
x = -2
Answer:
-2
Step-by-step explanation:
Let the number be x
5 × (6 + x) = 20
6 + x = 20/5
6 + x = 4
x = 4 - 6
x = -2
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
Find the IQR of the data set in the dot plot
Dot plot below
.
. .
. . . . . .
0 1 2 3 4 5 6 7
Answer:
5.5 - 1.5 = 4
Brainliest pls
Find the area of this Parallelogram.
2
Add. Write the expression below in simplest form.
(-3x + 15) + (-3x + 2)
Answer:
-6x+17
Step-by-step explanation:
Combine like terms
____ is the additional sum of money expected from an investment over and above the orginal investments.
Answer:
interest is the additional sum of money
Which is the image of P(4, 7) after a translation along < 1, 3 >?
Given:
The point is located at P(4,7).
It is translated along [tex]\left<1,3\right>[/tex].
To find:
The image of the given point after the translation.
Solution:
The point is translated along [tex]\left<1,3\right>[/tex]. So, the rule of translation is defined by:
[tex](x,y)\to (x+1,y+3)[/tex]
The point is located at P(4,7).
Using the above rule, we get
[tex]P(4,7)\to P'(4+1,7+3)[/tex]
[tex]P(4,7)\to P'(5,10)[/tex]
The image of given point after the translation is (5,10).
Therefore, the correct option is A.
Find a. Round your answer to the nearest hundredth
a=9units
Answer:
solution given:
c=40° exterior corresponding angle
In right angled triangle
<c°+B°+90°=180° [Sum of interior angle of a triangle is 180°
B°=180°-40°-90°=50°
Relationship between base and hypotenuse is given by cos angle
Cos c°=base/hypotenuse
Cos40°=a/12
a=Cos40°×12=9.19or 9 units
which ratio is equivalent to 5/9 9/45 25/81 27/15 30/54
Answer:
30/54 is the answer
Step-by-step explanation:
5x6=30
9x6=54
1/4 of my money is 8.00.what is 1/8 of my money
Answer: 4.00
Step-by-step explanation:
A store buys a shirt from the vendor for $15. The store makes a 55% profit when the shirt is sold to a customer. What is the retail price of the shirt?
Answer:
$23.25
Step-by-step explanation:
Step one:
given data
A store buys a shirt from the vendor for $15
The store makes a 55% profit
Required
The sale price of the shirt
Step two:
Percent profit= sale-cost price/cost price *100
subtitute
55= sale-15/15 *100
0.55= sale-15/15
cross multiply
sale-15= 0.55*15
sale-15=8.25
sale= 8.25+15
sale=$23.25
Which methods could you use to calculate the x-coordinate of the midpoint of a horizontal line segment with endpoints at (0,0) and (20,0)
Check all that apply.
A. Count by hand.
B. Divide 20 by 2.
C. Divide 0 by 20.
D. Divide 20 by 0.
Answer:
A. Count by hand.
B. Divide 20 by 2.
Step-by-step explanation:
The midpoint between two points is found by the mean of their coordinates.
Endpoints at (0,0) and (20,0)
So we have x coordinates of 0 and 20. Their mean is:
[tex]\frac{20 - 0}{2} = 10[/tex]
So we can find both counting by hand, or dividing 20 by 2.
I need help with this problem ASAP
Answer:
b
Step-by-step explanation:
Can someone help me out, please.......
Answer:
i am thinking it is 0 (if i get it wrong i am sorry)
Step-by-step explanation:
What percentage is 0.00042 ?
Answer:
0.042%
How much is the decimal number 0.00042 written as (converted to) a percent value? Answer: 0.042%
Step-by-step explanation:
hope it helps please give me a heart
Answer:
0.042%
Step-by-step explanation:
0.00042 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 0.00042 * 100 = 0.042% and then you get your answer!
Plant Type Number tomato 8 squash 4 cucumber 16 rosemary 22 he The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants? OA. 25:2 OB. 25:8 OC. 25:4 OD 23:2
Answer:
C. 25:4
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
A diagonal of a television screen measure 30 inches. The screen is 18 inches tall,as shown. which expression is equal to the length of the television screen in ,inches
Answer:
24 inches
Step-by-step explanation:
The television is a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in no particular order hence we can use Pythagoras theorem to find the length.
Recall that the theorem states that
opposite side^2 + adjacent side^2 = hypotenuse side^2
let the length of the television screen be L
L^2 + 18^2 = 30^2
L^2 + 324 = 900
L^2 = 900 - 324
L^2 = 576
L = √576
= 24 inches
Which equation represents a line parallel to the lines whose equation is y= 2x-7
Find the perimeter of the figure to the nearest hundredth.
Answer:
Perimeter of figure is 31.85 inches
Step-by-step explanation:
We have a rectangle and semi-circle in the figure.
First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.
First find perimeter of rectangle
The formula used is: [tex]Perimeter\: of\: rectangle=2(length+width)[/tex]
We have width = 7 in
length = 5 in
The perimeter is:
[tex]Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in[/tex]
The perimeter of rectangle = 24 in
Now, finding perimeter of semi-circle
The formula used is: [tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}[/tex]
Wee have diameter d = 5 in
So, perimeter is:
[tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}\\Perimeter\: of\: semi-circle=\frac{3.14\times 5}{2}\\Perimeter\: of\: semi-circle=7.85\:in[/tex]
So, Perimeter of semi-circle= 7.85 in
Now, finding Perimeter of figure
Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle
Perimeter of figure = 24 + 7.85
Perimeter of figure = 31.85 inches
So, Perimeter of figure is 31.85 inches
Consider the following navigation scenario. A ship on the open ocean is traveling in the direction shown below. On a coordinate plane, a vector goes up and to the right in quadrant 1 and forms a 30 degree angle with the y-axis. How would the captain report his navigational vector as a bearing? N60˚E E60˚N N30˚E E30˚N
Answer: C. N30degrees E
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
edg 2023
Metals Inc. needs 20 tons of iron, 15 tons of copper, and 8 tons of zinc to fill as particular order. They have two type
of are available. Type A, which contains 15% iron, 5% coper, and 2% zinc costs $30 per ton. Type B which contains
10% iron, 10% copper, and 8% zinc costs $40 per ton. How much of each type should they use to minimize the cost?
What is the minimum cost?
Answer:
see the photos
Step-by-step explanation:
I have given the answer
HELPPPPPP HELPPPPP PLZZZZZZZZZZZZZZZZ
Answer:
Its A. Just had this question
Step-by-step explanation:
Chong thinks of a Number adds 10 and then multiplies the number so obtained by 3, and get 42. If the number is n then write an equation for this
Answer:
The equation for this is: [tex]3(n+10) = 42[/tex]
Step-by-step explanation:
We have that the number though is n.
Adds 10:
This means that now we have: [tex]n + 10[/tex]
Multiplies by 3:
This means that now we have: [tex]3(n+10)[/tex]
Gets 42:
This means that: [tex]3(n+10) = 42[/tex]
Andrew goes to the shop to buy some apples and bananas.
He goes to purchase 5 apples and 4 bananas, and the total comes to $ 5.70.
Unfortunality, he doesn’t have enough money, so he puts back 1 apple and 2
bananas.
The new total is $ 3.60. What is the cost of 1 apple and the cost of 1 banana?
b. Andrea’s budget is $6. If she buys equal number of apples and bananas, then
what is the maximum number of apples and bananas, she can buy?
Answer:
a. The price of an apple is $0.5 and that of a banana is $0.8
b. 4
Step-by-step explanation:
Form simultaneous equations from the information.
For 5 apples and 4 bananas, and the total comes to $ 5.70 this can be;
5 a + 4 b = $5.70----------i
After he puts back 1 apple and 2 bananas, the equation will be;
4 a + 2 b = $3.60 -------------ii
Solve the two equations simultaneously as;
{5 a + 4 b = 5.70 }4 ---------making the a terms equal to eliminate them
{4 a + 2 b = 3.60}5
20 a + 16 b = 22.80 -------subtract the b terms
20 a + 10b = 18.00
6 b = 4.80
b= 4.80/ 6
b=$ 0.8
Using equation i :
5a + 4b =$5.70
5a + 4*0.8 = 5.70
5a + 3.2 = 5.70
5a = 2.5
a = 2.5 / 5
a=$0.5
The price of an apple is $0.5 and that of a banana is $0.8
b.
Let the number of apples be ------x
Let the number of bananas be-----x
This is because the target is equal numbers;
Form an equation for total cost as;
0.5 x + 0.8 x = $6
1.3 x = 6
x = 1.3 / 6 = 4.62
Maximum number of bananas to buy = 4
Maximum number of apples to buy = 4
However, he will have $0.8 remaining
Determine the value of y, if x is –12.
y= |x| - 5
pls quickly
Answer:
y = -17
Step-by-step explanation:
-12 - 5 = -17
Four runners start at the same point; Lin, Elena, Diego, Andre. For each runner write a multiplication equation that describes their journey.
Lin runs for 29 seconds at 7.2 meters per second. What is her finish point?
7.2*?=29
29*7.2=?
?*29=7.2
Elena runs for 26 seconds and finishes at 240 meters. What is her velocity?
240*26=?
26*?=240
?*240=26
Diego runs for 33 seconds at -6.1 meters per second. What is his finish point?
-6.1 • ? = 33
33*?=-6.1
-6.1*33=?
Andre runs for 38 seconds and finishes at -295 meters. What is his velocity?
-295*38=?
38*?==-295
?*-295=38
Answer:
See the answers in the explanation
Step-by-step explanation:
Lin runs for 29 seconds at 7.2 meters per second. What is her finish point?
time= 29 seconds
speed= 7.2 m/s
distance= speed*time
distance= 7.2*29
distance=208.8 m
Elena runs for 26 seconds and finishes at 240 meters. What is her velocity?
time= 26 seconds
distance= 240meters
velocity= distance/time
velocity= 240/26
velocity=9.23 m/s
Diego runs for 33 seconds at -6.1 meters per second. What is his finish point?
time= 33 seconds
velocity
distance=velocity*time
distance=33*6.1
distance= 33*6.1
distance=201.3 m
Andre runs for 38 seconds and finishes at -295 meters. What is his velocity?
time= 38 seconds
distance= 295m
velocity= distance/tim
velocity= 295/38
velocity= 7.76m/s
platelets are responsible for
Answer:
The principal function of platelets is to prevent bleeding. Red blood cells are the most numerous blood cell, about 5,000,000 per microliter. Red blood cells make up about 40% of our total blood volume, a measure called the hematocrit
(x + 2y – 2z) – (2x – 5y – 6z) is equivalent to...?
The Expression (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
(x + 2y – 2z) – (2x – 5y – 6z)
so, (x + 2y – 2z) – 2x + 5y + 6z
= ( x- 2x) + (2y+ y)+ ( 6z- z)
= -x + 3y + 5z
Hence, (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z
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Using the following image, determine if the triangles are similar. If so, how?
Not Similar
SSS
AA~
SAS
4x + 4(3 - 2×) = 2(4x + 2)/4 + 5
Solve this equation
Answer:
x=1
Step-by-step explanation:
Factor out the common term 22.
4x+4(3-2x)=2\times \frac{2(2x+1)}{4}+5
4x+4(3−2x)=2×
4
2(2x+1)
+5
2 Simplify 2\times \frac{2(2x+1)}{4}2×
4
2(2x+1)
to 2x+12x+1.
4x+4(3-2x)=2x+1+5
Simplify 2x+1+5 to 2x+6.
4x+4(3-2x)=2x+6
Expand.
4x+12-8x=2x+6
Simplify 4x+12-8x to -4x+12.
-4x+12=2x+6
Add 4x to both sides.
12=2x+6+4x
Simplify 2x+6+4x to 6x+6.
12=6x+6
Subtract 6 from both sides.
12-6=6x
Simplify 12−6 to 6.
6=6x
Divide both sides by 6
1=x
Switch sides.
x=1
