Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
This is a 45-45-90 triangle whose leg to hypotenuse ratio is 1 / [tex]\sqrt{2}[/tex]
so I set up a proportion of 1 / [tex]\sqrt{2}[/tex] = x / 2 [tex]\sqrt{5}[/tex]
cross-multiply to get [tex]\sqrt{2}[/tex]x = 2[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex] / [tex]\sqrt{2}[/tex] and multiply numerator and denominator by [tex]\sqrt{2}[/tex], this is called rationalizing the denominator
lets do
[tex]\\ \sf\longmapsto \sqrt{2}x=2\sqrt{5}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\sqrt{5}}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{2}\sqrt{5}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{2(5)}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{10}[/tex]
11 pointsI just need help PLEASE HELP ME IF YOU DO ILL THANK YOU AND GIVE POINTS
Answer: 1/5
Step-by-step explanation:
So stats. The using the results im guessing there are 20 cards since we aren't told otherwise. since we drew diamond roughly 4 out of the 20 cards we have a 20% or 1/5 chance of drawing diamond randomly
Answer: 1/5
Step-by-step explanation:
Add all 8+3+5+4=20
4/20
simplify by 2
4/2= 2 20/2= 10 = 2/10
simplify by 2 again
2/2= 1 10/2=5
=1/5
help QUICK I HAVE 17 MIN LEFT WILL GIVE BRAINLIEST
Answer:
5 : 9
Step-by-step explanation:
Write a story about temperatures that this expression could represent:
27 + (–11)
plzzzz helppp I need answer
Answer:
[tex] \huge \: 250 \: mL[/tex]
Step-by-step explanation:
tips and formulas:1 L=1000mLgiven:amount:1 L 500mLdistributed in 6 glasseslet's solve:1 L =1000 mL
1L 500 mL =1000+500 mL
=1500 mL
juice in 6 glasses 1500 mL
juice in 1 glass 1500÷6 mL
=250 mL
Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans. He pays with a £10 note and gets 80p change. How much does a tin of beans cost in pounds, £?
Answer:
£0.8
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
Hence,
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.6 / 2
x = 0.8
Hence, a tin of baked beans cost £0.8
Answer:
£0.80
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
lol
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.60 / 2
x = 0.80
YES WE GOT IT, a tin of baked beans cost £0.80
Which fraction does point A show?
A.3/7
B.3/4
C.8/5
D.7/4
Answer:
d 7/4
Step-by-step explanation:
what ya'll think????
Answer:
Wow that is amazing!
Step-by-step explanation:
Also thanks for the free points :D
Have a great day <3
Which linear function has a negative slope
Answer:
c
Step-by-step explanation:
in order for it to be a negative slope X has to be negative
Geometry
Help please
Step-by-step explanation:
14x+y=60
4x-6= 10
4x= 16
x= 4
56+y=60
y= 4
Solving inequalities.
1. 2x + 3 < 9
2. 4x - 5 > 43
Answer:
1. x< 3
2. x>12
have a great day :)
Step-by-step explanation:
A TV has a listed price of $ 796-99 before tax. If the sales tax rate is 6.75% find the total cost of the TV with sales tax included
Round your answer to the nearest cent, as necessary
Answer:
$850.79
Step-by-step explanation:
Assuming "$ 796-99" meant $796.99
796.99 increase 6.75% =
796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825
Help asap please!! I will mark you as brainliest :)
Answer:
It would be a isosceles
Step-by-step explanation:
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the length of \overline{AC}? AC ?
Answer: [tex]\overline{AC}=[/tex] 12.5
Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.
Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:
[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)
Substituting (2) into (1):
[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]
We want to find f, so:
[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]
[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]
f = 7.5
The length of [tex]\overline{AC}[/tex] is
[tex]\overline{AC}=f+5[/tex]
[tex]\overline{AC}=7.5+5[/tex]
[tex]\overline{AC}=12.5[/tex]
The length of the hypotenuse of triangle ABC is 12.5 units.
Answer:
x = 20
Step-by-step explanation:
A recipe calls for 3/2 cups of sugar to make 24 cookies. How many cups of sugar are needed to make 60 cookies?
Answer:
3.75 or 3 and 3/4
Step-by-step explanation:
3/2 Cups = 24 Cookies
?Cups 60=Cookies
Divide 60 by 24, which is 2.5
2.5x3/2 is 3.75 or, in fraction, 3 and 3/4
3 and 3/4 cups of sugar and needed to make 60 cookies
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
HELP! Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $6 per pack, while hamburgers cost $8 per pack with taxes included. Jerry can spend a maximum of $50 on the food.
Using x and y for the number of packs of hot dogs and hamburgers, respectively, what is an inequality that represents this situation?
Answer:
3 packs of burgers and 4 packs of hot dogs
Step-by-step explanation:
if this is wrong im sorry what i did was divide 50 by 2 and got to the most i could
James has a rectangular plot of land that is 250 feet long and x feet wide. He wants to build a fence around the plot of the land. If the perimeter of the plot is 942 feet, what is the value of x?
Answer:
= 221
Step-by-step explanation:
Lenght = 250
Width= x
Perimeter = 2 (l+b) = 942
2 x (250 +x) = 942
500 + 2x = 942
2x = 942 - 500= 442
x = 442 /2 = 221
I hope Im right!!
A math workbook is 0.5 in. thick. how many of these book will fit on a shelf that is 36 in. long?
Answer:
72 books will fit on the shelf
Solve for x 8.2/x =12/6.4
Answer: x=4.373
Step-by-step explanation: Have a brilliant day mate -Lily ^_^
Answer:
x=4.373 (put a repetend at the top of three last digit)
Step-by-step explanation:
Combine rational expressions and isolate variable x
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
Help what do I fill in!?!
Answer:
6 AND 8
Step-by-step explanation:
A cookie delivery company charges $0.90 per cookie plus a $3 delivery fee. If an
order costs $11.10, how many cookies were ordered?
Answer:
9 cookies
Step-by-step explanation:
The equation is 11.1 = 0.9x + 3. First, we need to isolate the variable so we subtract 3 from both sides. 8.1 = 0.9x. Next we divide both sides by 0.9 which gives us 9 = x or x = 9.
mrs. kelly asked her students to plot the number of books they read over summer. Using the dot plot, how many students answered the question?
Answer:
18
Step-by-step explanation:
Add all the dots. 2+1+3+2+6+3+1=18
Eve took one of her friends out to lunch. The lunches cost $100 and she paid 3% sales tax. If
Eve left a 15% tip on the $100, how much in total did she pay?
How many square meters are enclosed in the track?
Answer:
For this case using the figure attached we can separate the total area in 3 parts.
For this case and represent the area for a semicircle and the A2 represent the area for a rectangular figure.
We can find the individual areas like this:
For the rectangular shape we have:
And the total area would be:
Replacing we got:
Step-by-step explanation:
Answer:
for me on my test its 40L 60m and so the length time width will get you 2.4k, 2400 square meters
Step-by-step explanation:
60x40
what property is ( 3y + 7 ) + 6 = 6 + ( 3y + 7 ) .
Associative Property
Commutative Property
Distributive Property
Answer:
Commutive Property
Step-by-step explanation:
The numbers switched that's all
Answer:
Commutative property
Step-by-step explanation:
Change
Order
m
m
u
t
a
t
i
v
e
so basically you’re not changing the group ( associative ) and you’re not multiplying into the groups ( Distribuative ) so the only other option would be Commutative, and you’re changing the order of the numbers so it would be commutative.
what is 18.75 rounded two decimals places
The answer would be 18.8
Factorise x + 5x + 6
Answer:
6x+6
Step-by-step explanation:
Combine like terms:
x + 5x +6
6x+6
Choose the graph of the solution to this inequality. c – 12 ≥ –16 A number line with a closed dot at negative 4 shaded to the right. A number line with a closed dot at 4 shaded to the left. A number line with a closed dot at 4 shaded to the right. A number line with a closed dot at negative 2 shaded to the right.
A number line with a closed dot at -4 is shaded to the right. Option A is correct.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
Given inequality,
c – 12 ≥ –16
Add 12 on both sides
c ≥ -4
So the required number line would be as a closed dot at -4 and shaded to the right.
Thus, A number line with a closed dot at -4 is shaded to the right. Option A is correct.
Learn more about number line here:
brainly.com/question/17683084
#SPJ2
Triangle ABC was dilated and rotated to form triangle DEC.
Triangles A B C and D E C. Side A C is x and side B C is 8. Side E C is 5, side E C is 7.8, side C D is 6.
What is the length of side AC? (Figures not drawn to scale.)
IF YOUR CORRECT I WILL GIVE U THE CROWN
Answer:
9.6
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation: