Answer:
The laptop will not fit in the case.
Step-by-step explanation:
We need to find the width of the laptop to know if it fits in the case. We have:
For the laptop:
h: is the height of the laptop = 10 inch
d: is the widescreen of the laptop (diagonal) = 17 inch
w: is the width of the laptop =?
For the laptop case:
H: is the height of the laptop case = 10.5 inch
W: is the width of the laptop case = 13 inch
So, the width of the laptop can be found by using Pitagoras:
[tex] d^{2} = w^{2} + h^{2} [/tex]
[tex] w = \sqrt{(17 inch)^{2} - (10 inch)^{2}} = 13.7 inch [/tex]
Hence, the laptop is 13.7 inches wide.
Therefore, since the laptop is wider than the case, the laptop will not fit in the case.
I hope it helps you!
a cube+a square b+ ab square
Please help
Step-by-step explanation:
[tex] {a}^{3} + {a}^{2} b + a {b}^{2} [/tex]
[Taking a common from each term]
[tex] = a( {a}^{2} + ab + {b}^{2} )[/tex]
[tex]as \: {a}^{2} + ab + {b}^{2} = {(a + b)}^{2} [/tex]
Hence,
[tex] = a {(a + b)}^{2} (ans)[/tex]
What can x be? The triangle is not drawn to scale.
Answer: 4
No problem I do rsm as well
The possible x values in the given triangle are lies between 0<x<4.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
From the given triangle,
2+x+3>5
x>0
2+5>x+3
7>x+3
7-3>x
4>x
So, the values lies between 0<x<4
Therefore, the possible x values in the given triangle are lies between 0<x<4.
To learn more about the triangle inequality theorem visit:
https://brainly.com/question/1163433.
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Problem of the Week
Problem C
Locate the Fourth Vertex
Quadrilateral BDFH is constructed so that each vertex is on a different side of
square ACEG. Vertex B is on side AC so that AB = 4 cm and BC = 6 cm.
Vertex F is on EG so that EF = 3 cm and FG = 7 cm. Vertex H is on GA so
that GH = 4 cm and HA= 6 cm. The area of quadrilateral BDFH is 47 cmº.
The fourth vertex of quadrilateral BDFH, labelled D, is located on side CE so
that the lengths of CD and DE are both positive integers.
Determine the lengths of CD and DE.
Answer:
CD is 6 cm and DE is 4 cm.
Step-by-step explanation:
Well it‘s the correct answer and I got it right so good luck out there bois!
A book sold 35,600 copies in its first month of release. Suppose this represents 7.3% of the number of copies sold to date. How many copies have
been sold to date?
Answer:
487.671 copies have been sold to date.
Find the area of the triangle."
6.8 mm
7.3 mm
5.8 mm
O 17.84 sq mm
O 18.57 sq mm
19.43 sq mm
O 21.49 sq mm
I am not very smart please help me i love you
Answer:
3 is is the correct answer to this
PLSSS I NEED HELP URGENT!!
can someone please help me find the answer to this they want me to find the surface area of it
Answer:
Step-by-step explanation:
You have three rectangular faces and two triangular faces. Each rectangular face has an area equal to xy. Each triangular face has an area equal to xy/2. So the total area will be
A=5(7)+3(7)+4(7)+4(3)/2+4(3)/2
A=35+21+28+6+6
A=96cm^2
Answer:
as below
Step-by-step explanation:
add up the surface area of each side of this object
this object has 5 sides
2 of the sides are equal triangles so we could add those up to make one whole rectangle. and if we do that then there are only 4 sides
the two triangle sides add up to one rectangle side of 4 *3 = 12
the bottom side facing downwards = 3 * 7 = 21
the back side facing away = 4 * 7 = 28
the front side at an angle = 7 * 5 = 35
12 + 21 + 28 + 35 = 96 [tex]cm^{2}[/tex]
find the value of x.
Answer:
86
Step-by-step explanation:
180 - 94 = 86
Answer:
x = 86°
Step-by-step explanation:
The total number of degrees should be 360°
The bottom 2 angles are both 90°
94° + 90° + 90° = 276°
360° - 276° = 86°
Liang has a goal of walking at least 18 miles. She walks at a rate of 4 miles per hour. Which inequality can Liang use to find h , the number of hours she should walk in order to meet or exceed her goal?
What is the following product?
2/16 x 3/12 x
0 x*(V28x
x= (/28x
13(
4x* (*/3x
0 4x
2
3
O 4
The product of the expression ∛16x⁷ .∛12x⁹ is 4x⁵.∛3x, option D is correct.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is ∛16x⁷ .∛12x⁹
We have to find the product.
∛2×8 x⁷ .∛12x⁹
∛2×8 x⁶. x .∛12x⁹
2x². ∛2x . x³.∛12
2x².x³. ∛2x.∛12
4x⁵.∛3x
Hence, the product of the expression ∛16x⁷ .∛12x⁹ is 4x⁵.∛3x, option D is correct.
To learn more on Expressions click:
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The length of two sides of a right triangle are leg: 9
m and hypotenuse: 16 m. Find the length of the
third side. Round to the nearest tenth if necessary.
A. 28.8 m
B. 13.2 m
C. 104 m
D. 14.4 m
A family needs to cross a river in a small raft.
Father weighs 90kg, mother weighs 80kg, son
weighs 60kg, daughter weighs 40kg, and they have
a 20kg bag. The raft cannot bear a load heavier
than 100kg. How can they all get to the other side
with their bag?
Answer:
so basically you can take more than one trip you can take the mother and the bag at the same time
Step-by-step explanation:
and then you can get the daughter in the son at the same time and then for the final trip you take the father by himself
Work out the area of this trapezium. 15m 5m 6m
Answer:
This is your answer ☺️
Answer:
60m^2
Step-by-step explanation:
easiest way is to divide the shape into triangle and square.
Taylor spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -13.8°F. Between 9am and noon, the temperature rose 13.6°F. Between noon and 3pm, the temperature went up 11.1°F. Between 3pm and 6pm, the temperature decreased by 17.5°F. What was the temperature at 6pm?
Answer:
The temp is -47F
Tres corredoras salieron a entrenar Amalia recorrio 4,121 km ; Luciana 1,55 km mas que Marta y esta 1 8/2 km menos que Amalia. ¿Cuantos kilometros recorrio Luciana y Marta?
Answer:
Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.
Step-by-step explanation:
El enunciado tiene un error tipográfico que induce a equivocación. El enunciado correcto es el siguiente: Tres corredoras salieron a entrenar Amalia recorrió 4,121 kilómetros; Luciana 1,55 kilómetros más que Marta y esta 1 8/25 kilómetros menos que Amalia. ¿Cuántos kilómetros recorrió Luciana y Marta?
Sean [tex]x,y,z[/tex] las distancias recorridas por Amalia, Marta y Luciana, en kilómetros. A partir de la descripción del enunciado tenemos el siguiente sistema de ecuaciones lineales:
Amalia
[tex]x = 4,121\,km[/tex] (1)
Marta
[tex]y = x-1.32\,km[/tex] (2)
Luciana
[tex]z = y + 1.55\,km[/tex] (3)
La solución del sistema de ecuaciones lineales es:
[tex]x =4,121\,km, y = 2,801\,km, z = 4,351\,km[/tex]
Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.
A bag contains 2 red pens, 4 blue pens, 3 black pens, and 1 green pen. Once a pen is selected, it is replaced, and then another pen is selected. Determine P(blue and blue)
Given:
A bag contains 2 red pens, 4 blue pens, 3 black pens, and 1 green pen.
Once a pen is selected, it is replaced, and then another pen is selected.
To find:
The probability of getting blue pens in both draws, i.e., P(blue and blue).
Solution:
We have,
Number of red pens = 2
Number of blue pens = 4
Number of black pens = 3
Number of green pen = 1
Total number of pens = [tex]2+4+3+1[/tex]
= [tex]10[/tex]
The probability of getting a blue pen is:
[tex]P(\text{Blue})=\dfrac{\text{Number of blue pens}}{\text{Total number of pens}}[/tex]
[tex]P(\text{Blue})=\dfrac{4}{10}[/tex]
[tex]P(\text{Blue})=0.4[/tex]
Once a pen is selected, it is replaced, and then another pen is selected. So, after replacement the probability of getting a blue is remains the same.
[tex]P(\text{Blue and Blue})=P(\text{Blue})\times P(\text{Blue})[/tex]
[tex]P(\text{Blue and Blue})=0.4\times 0.4[/tex]
[tex]P(\text{Blue and Blue})=0.16[/tex]
Therefore, the value of [tex]P(\text{Blue and Blue})[/tex] is 0.16.
Which is the right way to least to greatest? PLZ HELP ME ASAP
Answer:
-8,-3,1,5 is the correct one
Find the equation of the line which passes through (2, 4) with a slope of
A. y = –2x + 8
B. y = 2x
C. y = 1/2x+4
D. y= 1/2x+3
E. y = 1/2x+5
ten athletes ran two races of the same length. The scatter plot shows their times. Select all statements that are true.
The scatter plot has been attached
Answer:
Options C, D & E are true
Step-by-step explanation:
Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.
Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.
Option C is true because exactly 9 of the times for the first race were at least 16 seconds
Option D is true because there are exactly 3 athletes who had the same time in both races
Option E is true because 8 of the times for the second race were less than 17 seconds
Would the graph be no correlation, Positive correlation , or negative correlation?
Answer: No linear correlation. The graph suddenly shifts midway, meaning there is no correlation.
Step-by-step explanation:
ill mark brainlist plss help
Answer:
A) 3.6 in.
Step-by-step explanation:
36/10 = 3.6
Answer:
it's 3.6in because if you take 36 and divide it by that 10 it's 3.6. Which leads to your answer 3.6in.
Is -2q + 7 in standard form
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
Yes, it is!!!
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
What is the scale factor of the dilation show?
A. 3/2
B. 2
C. 3
D. 2/3
Answer:
A if not then D
Can someone help me
Answer:
= 4
Step-by-step explanation:
Congruent Triangles. Thorough explanation will earn brainiest!!
SAS
ASA
AAS
Can't determine
Answer:
Do you have an image?
If not, SAS, ASA and AAS are all possible ways to show congruence.
how many times can 5/8 go in to 1 2/3
Answer:
2 2/3 is what I have
Step-by-step explanation:
5/3÷5/8
=2 2/3
Use an area model to multiply (6x-1)(3x+2) . Write your answer as a sum.
Answer:
25
Step-by-step explanation:
How much interest is earned on an account if…
Principal = $400
Rate = 8%
Time = 1 year
Answer:
$432
Step-by-step explanation:
400 x 1.08 = $432
Hope this helps!!
Fatima paid for 5 pallets of grass to be delivered
Answer:
725.95
Step-by-step explanation:
Answer:
Hi, you answer would be $725.95
Step-by-step explanation:
First multiply 129.95 and 5, which equals $649.75. Now you add $649.75 and 76.20, which you would get your answer $725.95, hope this helps:)
can someone help me solve this?
Answer:
5 felt pads.
7 cards.
Step-by-step explanation:
Remark
The total number of items is 12 So let the felt sheets be xLet the cards = yEquations and Solution
x + y = 12
Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.
0.5x + 0.75y = 7.75 Multiply this equation by 2
x + 1.5y = 15.50 write the first equation underneath and subtract.
x + y = 12
.5y = 3 Divide by 0.5
y = 3/0.5
y = 7
So she can get 7 cards.
x + y = 12
x + 7 = 12
x = 12 - 7
x = 5
So she can buy 5 felt pads.