Answer:
The correct option is C. (x=2)
Step-by-step explanation:
Given
Length of the hypotenuse of the right angled triangle (h) = 2.5 cm
Length of one of the side (a) = 1.5 cm
Let the length third side be 'b' cm
By Pythagoras theorem
h² = a² + b²
Adding Values on both sides
⇒ (2.5)² = (1.5)² + b²
⇒ 6.25 = 2.25 + b²
⇒ 6.25 - 2.25 = b²
⇒ 4 = b²
⇒ √4 = b
⇒ 2 = b
⇒ b = 2
-
Find the zeros of the following function f (x) = 2x^2 – x – 10
Step-by-step explanation:
the formula to find the x values to deliver y=0 results of a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a, b, c are the constant factors in the 3 terms of a squared equation.
here in our example of 2x² - x - 10
a = 2
b = -1
c = -10
x = (1 ± sqrt(1² - 4×2×-10))/(2×2) =
= (1 ± sqrt(1 + 80))/4 = (1 ± sqrt(81))/4 =
= (1 ± 9)/4
x1 = (1 + 9)/4 = 10/4 = 2 2/4 = 2 1/2 = 2.5
x2 = (1 - 9)/4 = -8/4 = -2
Wich is the missing number in the prime factorization will rate branleist
How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?
what is happening in this graph from point b to c?
Answer:
at o to a the speed increases from a to b the speed is constant the from b to c the speed is decreasing there is a stop from c to d the speed increases at d to e going constant again at e to f
Step-by-step explanation:
Help me asap I’ma give u brainlest if u do
Answer:
The answer is b..
Step-by-step explanation:
hope its helpful
71 degrees Determine the value of x.
A) 109 degrees
B) 71 degrees
C) 142 degrees
D) 35.5 degrees
Answer:
A) 109 degrees
The answer is 109 degrees because each opposite angle added equals 180°. 180-71= 109
Good luck on your assignment ⊂(◉‿◉)つ
Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, including tax and tip, is $27.72. How much did each meal cost before tax and tip? (Assume that the friends pay a tip on the cost of the meals only.) IF CORRECT I WILL GIVE BRAINLIEST!!
Sales tax and tip will increase the price of an item.
The cost of each meal is: $10.89
Let the cost of both meals be x.
A 20% tip means that, the current price is:
[tex]Price = x \times (1 + 20\%)[/tex]
A 6% sales tax on the meal means that, the current price is:
[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]
So, we have:
[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]
[tex]Price = x \times (1.20) \times (1.06)[/tex]
[tex]Price = x \times 1.272[/tex]
The amount paid is $27.72
So, the equation becomes
[tex]27.72= x \times 1.272[/tex]
Make x the subject
[tex]x = \frac{27.72}{1.272}[/tex]
[tex]x = 21.78[/tex]
So, the cost of each meal is:
[tex]Each= \frac{21.78}{2}[/tex]
[tex]Each= 10.89[/tex]
Hence, the cost of each meal is: $10.89
Read more about sales tax at:
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Grace rides the bus to her grandmother's house each day. A one way trip is 8.12 miles. How many miles does
she travel after 5 days help on 1 and 2 please extra points
40.6 miles and $9.77
Step-by-step explanation:
[Number 1]
8.12 × 5
= 40.6 miles
[Number 2]
2.79 × 3 ½
= 2.79 × 3.5
= 9.765
≈ $ 9.77
3 In which of these pairs of numbers would both numbers round to 6.23 ? F 6.232 and 6.236 G 6.231 and 6.233 H 6.229 and 6.239 J 6.222 and 6.238 GO
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Answer:
G 6.231 and 6.233
Step-by-step explanation:
F 6.232 and 6.236 rounds to 6.23, 6.24
G 6.231 and 6.233 rounds to 6.23, 6.23
H 6.229 and 6.239 rounds to 6.23, 6.24
J 6.222 and 6.238 rounds to 6.22, 6.24
_____
One way to determine the rounded value is to add 0.005 to the number, then drop all digits to the right of the hundredths place.
Examples:
6.222 +0.005 = 6.227 ⇒ 6.22
6.238 +0.005 = 6.243 ⇒ 6.24
Someone tell me if I’m right
Answer:
Yes you are correct
Step-by-step explanation:
If 7 4/5 is added to 2 3/4 , what is the sum?
Answer: 9 7/20
Step-by-step explanation:
7 4/5 + 2 3/4
Multiply the Denominators = 20
Add Numerators = 7
Add Whole Numbers = 9
Answer 9 7/20
5. The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution? a. bell-shaped C. skewed b. uniform d. symmetric
The shape of the distribution describes that distribution as skewed distribution. Option C is correct.
Given that,
The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution is to be determined.
The box plot shape is used to indicate if a statistical particular set is either normally distributed or skewed.
Here,
There is a property of the box plot i.e. When the median is in the center of the box, and the whiskers are about the same on both flanks of the box, then the distribution is symmetric. when the median is anywhere to the box except the center, and if the whisker is more concise on the left or right end of the box, then the distribution is skewed.
Thus, the shape of the distribution describes that distribution as skewed distribution. Option C is correct.
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Twix bars cost $1.29.each. If you buy 10 bars, how much
change will you receive from $20?
Answer:
$7.10
Step-by-step explanation:
1 bar = $1.29
10 bars = 10 x $1.29 = $12.90
Change received = $20 - $12.90 = $7.10
Answer:
7.1
Step-by-step explanation:
1 twix bar = $1.29
10 twix bar = $12.9
change = 20 - 12.9
= $7.1
What is the sum of 3/12 and 2/4 ?
Answer:
9 / 12
Step-by-step explanation:
2 / 4
= ( 2 / 4 ) x ( 3 / 3 )
= ( 2 x 3 ) / ( 4 x 3 )
= 6 / 12
3 / 12 + 2 / 4
= 3 / 12 + 6 / 12
= ( 3 + 6 ) / 12
= 9 / 12
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex]\textsf{between there sum = ?}\\[/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: + \: \frac{2}{4} } \\ [/tex]
Now, find the LCM of 12, and 4 in denominator.Process how to find LCM of 4 and 12↓
[tex] \sf{\mathsf{\begin{array}{r | l} \underline2& \underline4 \: \underline {12 } \\\underline 2&\underline2 \:\underline 6 \\\underline3&\underline1 \: \underline3 \\ &\underline1 \: \underline1 \\ \end{array}} }\\ [/tex]
[tex] \sf{ LCM} = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12 \\ [/tex]
The LCM of 12 & 4 is 12.[tex] \sf \leadsto{ \: \frac{3 + 6}{12} } \\ [/tex]
Add 3 and 6 to get 9.[tex] \sf \leadsto{ \: \frac{9}{12} } \\ [/tex]
Now, divide both numerator and denominator to get 3/4.[tex] \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ [/tex]
Therefore, the sum of 3/12 and 2/4 is 3/4.
Find the product of 6.35 x 5.2.
Answer:
33.02
Step-by-step explanation:
First four terms
f(n)=n^3-n^2+1
Answer:
The function of this equation is: [tex]F(n)=\frac{1}{4}n^4-\frac{1}{3}n^3+n+C[/tex]
Step-by-step explanation:
Answer:
1, 5, 19, 49
Step-by-step explanation:
To obtain the first 4 terms substitute n = 1, 2, 3, 4 into f(n)
f(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1
f(2) = 2³ - 2² + 1 = 8 - 4 + 1 = 4 + 1 = 5
f(3) = 3³ - 3² + 1 = 27 - 9 + 1 = 18 + 1 = 19
f(4) = 4³ - 4² + 1 = 64 - 16 + 1 = 48 + 1 = 49
The first 4 terms are 1, 5, 19, 49
You want to buy a new app for your iPhone that costs $2.50. The tax rate is 4%. How much total do you pay for the app?
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Answer:
$2.60
Step-by-step explanation:
You pay ...
app cost + tax
$2.50 + 4% × $2.50 = $2.50×(1 + 4%) = 1.04×$2.50 = $2.60
You pay $2.60 for the app.
133.5 divided by 5 show work
Answer:
26.7
Step-by-step explanation:
Use a c a l c u l a t o r :P
-32 > +32? True or false?
Answer:
False
Step-by-step explanation:
+32 is greater than -32
Answer:
false it is less than
Step-by-step explanation:
-32<+32
there are 76 milligrams of sodium in a 3ounce serving at skinless chicken how much sodium would be in 8 ounce of skinless chicken to the nearest tenth
Answer:
202.7 milligramsHope this helped :)Answer:
202.7
Step-by-step explanation:
76 divided by 3 to see how many milligrams of sodium is in 1 once of chicken, so it would be 25.33... (or you xould simplify to 25.4.) Then you times by 8 to see how much is in 8 ounces
Find the median of the following set of numbers.
{36, 16, 24, 33, 49}
Answer:
33
Step-by-step explanation:
First, you need to put it in numerical order: 16, 24, 33, 36, 49
Next, find the number in the MIDDLE of it, which would be 33.
So, the answer is 33.
Which fraction is less than 1?
The following choices have been given to you, remember to hand in PROPER answers and not trolls. A screenshot of the page has been provided to you for help, thank you to those who helped us.
Answer:
1/5
Step-by-step explanation:
The other answers (in order) equal 5, 1 and 1/5, and 2, so the only other option left is 1/5.
Needing help with geometry
Answer:
Bro can you send your question
Answer:
whate your questions bro
Algebra 2 help needed....
Answer:
Step-by-step explanation:
We actually don't need to know all of the restrictions.
We know that a vertical stretch factor of 4 means multiplying a square root function by [tex]4[/tex]. So, the answer will be in the form [tex]y=4\sqrt{x+c}+k[/tex], where c and k are real numbers.
Aha! Only one of these conditions satisfy the restrictions, so we have that [tex]\boxed{y=4\sqrt{x+3}+7}[/tex] has to be the answer.
Today is Saturday. What day of the week will it be in 3724 days?
Answer:
It is still going to be Saturday
Step-by-step explanation:
Because 3724 can be divided by 7
Since the remainder is 0, it's the same day:
Saturday
Answer:
saturday
Step-by-step explanation:
A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this problem
Step-by-step explanation:
L = length
W = width
L = W + 9
A = 112 = LW = (W+9)W
So,
W2 + 9W = 112
W2 + 9W - 112 = 0
Factoring
(W-7)(W+16) = 0
W = 7, -16
We discard W = -16, since a measurement cannot be negative.
W = 7
And since L = W + 9, then L = 7 + 9 = 16
This is a 16x7 rectangle
environmental factors that affect the agricultural productions note
climatic factors such as light, water, and rainfall, temperature, air, relative humidity and wind also affect farming in various ways. Just like other abiotic elements of environmental factors such as soil and topography, they influence how crops grow and develop.
the environmental factors that affect the agricultural production is human activities such as pollution, climatic factors and so on
A cyclist traveled 70km at a constant speed. Write down the formula that shows the dependence of the speed, v, on the time t. Find v(5), v(7), v(3.5)
HELP I WILL GIVE BRAINLIEST + 20 POINTS I REALLY NEED THIS
The equation which relates speed, V and time, t to the total distance traveled is 70 = Vt
70 = Vtv(5) = 14 V(7) = 10V(3.5) = 20Since he is traveling at a constant speed, the relationship between, V and t can be written thus :
Distance = speed × time 70 = VtAt time, t = 5
70 = 5VV = 70/5 = 14At time, t = 7
70 = 7vV = 70/7 = 10At time, t = 3.5
70 = 3.5vv = 70/3.5 = 20Therefore, the relationship between V and t with distance is 70 = Vt
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what is the answer of 42 x 598 estimate
I need help with this plz help
Answer:
just swap the first two and you should be good