Answer:
9
Step-by-step explanation:
For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.
For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations
414n = 3726
divide both sides by 414 to isolate the n
n = 9
(1-sin^2x) (1+tan^2x)=1
[tex]1 - sin {}^{2} x \times 1 + \tan( { }^{2} ) x = 1[/tex]
Prove that :
Please help i need the right one
[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]
L.H.S
[tex]\tt cos^2x \times sec^2x[/tex]
[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]
[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]
[tex]\tt 1[/tex]
R.H.S
Hence proved
Step-by-step explanation:
[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]
• Remember → 1 + tan²x = sec²x
[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]
• But sec²x → 1/cos²x
[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]
• Remember from the first identity of trignometry;
[ cos²x + sin²x = 1 ].
• Therefore: [ cos²x = 1 - sin²x ]
[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]
Hence proved.
the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased
Answer:
The number of students would have increased by 25%.
Step-by-step explanation:
Answer:
25% more
Step-by-step explanation:
640 100
800 x
---------------
cross-multiplication = 100*800 = 80000/640 = 125
Can someone please help me solve this
Answer:
Step-by-step explanation:
It saids evaluate given the three different functions below: The graph f(x), the equation g(x) and the table h(x)
Solve the Math problem
Answer:
1. Becky, 2. No one, 3. Brian and Carol, 4. Tom, 5. Jake
Step-by-step explanation:
The order has to be Brian, Tom, Jake, Becky, and Carol.
1. Becky
2. No one
3. Brian and Carol
4. Tom
5. Jake
find the smaller of 2 consecutive numbers if the sum of the smaller and twice the larger is -4
Answer:
2
Step-by-step explanation:
n = the smaller even integer
n +2 = the next even integer
The wording of the question translates into:
2n + (n+2) = -4
3n +2 = -4
3n = -6
n = -2
Please help. 0=25x^2 + 80x + 68
which statement about tuition is the most accurate?
Answer:
C. Public colleges are cheaper for in-state residents.
Step-by-step explanation:
sum of 5r and 7, divided by 15
Answer: 7r/3
Step-by-step explanation:
5r*7/15 = 35r/15 = 7r/3
Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz. If the quiz has 63 questions, how many questions did Jackson answer correctly
Answer:
49
Step-by-step explanation:
9*7=63
7*7=49
There are 49 questions did Jackson answer correctly.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz.
Total number of questions = 63
Now,
Let number of correct questions = x
So, By the definition of ratio, we can formulate;
⇒ 7 : 9 = x : 63
Solve for x as;
⇒ 7 : 9 = x : 63
⇒ 7 / 9 = x / 63
⇒ 7 × 63 / 9 = x
⇒ x = 7 × 63 / 9
⇒ x = 7 × 7
⇒ x = 49
Thus, There are 49 questions did Jackson answer correctly.
Learn more about the ratio visit:
https://brainly.com/question/2914376
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May I please receive help?
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Step-by-step explanation:
Apply Pythagoren Theorem.
[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]
where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.
the legs are 6 and our unknown. so let x represent the unknown
[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]
[tex]36 + {x}^{2} = 121[/tex]
[tex] {x}^{2} = 85[/tex]
[tex]x = \sqrt{85} [/tex]
x=9.2
Find the values of x and y.
Answer:
x=68/9; y=38/3.
Step-by-step explanation:
1) according to the condition m(ABC)=m(DEF), then 6y-4=80, ⇒ y=38/3;
2) according to the condition AB=DE, then 10=3x-y. If y=38/3, then 10=3x-38/3; ⇒ x=68/9.
Complete the sentence.
Twenty-seven is % of 60.
Answer:
45 percent
Step-by-step explanation:
Have an awesome day!
Simplify the complex number.
(8i) (5) (-4-6i)
Answer:
4th option
Step-by-step explanation:
noting that i² = - 1
(8i)(5i)(- 4 - 6i)
= 40i²(- 4 - 6i)
= 40(- 1)(- 4 - 6i)
= - 40(- 4 - 6i) ← distribute parenthesis by - 40
= 160 + 240i
[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]
pls pls plz plz pls help
Answer:
x is 24°
Step-by-step explanation:
angles substended by the same chord or arc....90-66= 24°.
The expression 3.5d + 5 represents the number of miles Erin ran last week when she ran 5 miles on sunday and 3.5 miles each day after Sunday. The expression 2.5d+ 3 represents the number of miles Luis ran last week when he ran 3 miles on Sunday and 2.5 each day after Sunday what expression can be used to determine the total amount erin and Luis ran last week
Answer: 14 miles
Step-by-step explanation: 3.5d+5+2.5d+3
A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 2800 cubic feet. Find the dimensions of the pool. The smaller dimension of the pool is enter your response here ft and the larger dimension is enter your response here ft.
Answer:
smaller: 10 ftlarger: 35 ftStep-by-step explanation:
The volume of the pool is given by ...
V = LWH
Here, we have ...
V = 2800 ft³
H = 8 ft
L = 3.5W
Filling in these values, we have ...
2800 ft³ = (3.5W)(W)(8 ft)
100 ft² = W² . . . . . . . . . . . . divide by 28 ft
W = √(100 ft²) = 10 ft
L = 3.5W = 35 ft
The pool is 10 ft by 35 ft.
Trignometry plzz helpppp asappp
Answer:
[tex]x\approx4.5[/tex]
Step-by-step explanation:
In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]
[tex]6.7tan(34^\circ)=x[/tex]
[tex]x=6.7tan(34^\circ)[/tex]
[tex]x\approx4.5[/tex]
someone help please :)
Answer: not shaded i think
Step-by-step explanation:
Answer:
Not shaded, because the equation is not true when you plugged in ( 0,0)
Step-by-step explanation:
Solve for the value of R.
SOMEONE PLEASE HELP ILL GIVE YOU POINTS AND BRAINLIST ANSWER !!!
Step-by-step explanation:
[tex](3r + 4) + (8r - 2) = 90[/tex]
[tex]3r + 4 + 8r - 2= 90[/tex]
[tex]11r = 88[/tex]
[tex]r = \frac{88}{11} \\ [/tex]
[tex]r = 8[/tex]
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees
a)1600-x.
(b)2000-x
(c) x-1600
(d)x-2000
pls answer asap!!!
Answer:
Hi, the answer is a.
Step-by-step explanation:
1. 1800-200=1600
2. As 1800 is total x will be smaller amount. so....
3. when we write a subtraction statement bigger number - smaller number..
4. So answer will be 1600-x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.
Then the expression is given as,
⇒ 1800 - x - 200
Simplify the expression, then we have
⇒ 1800 - x - 200
⇒ 1600 - x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
More about the equivalent link is given below.
https://brainly.com/question/889935
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You buy a sweater that is on sale for 20% off of the original price. The sweater cost $28. What was the original price?
Answer:
The original price was $50.
Step-by-step explanation:
Your sweater now cost $28 after 20% off.
To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.
$28/.80 = $35.
Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.
$35/.70 = $50
What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Answer:
{- 3, - 2, 0, 2 }
Step-by-step explanation:
The range is the y- coordinates of the points
(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )
The y- coordinates are - 3, - 2, 0, 2
Then the range is { - 3, - 2, 0, 2 }
PLEASE HELP!!!
Which of the following are equations for the line shown below? Check all that
apply.
(5,1)
5
5
(-5,-3)
5
A. y + 3 = 0.4(x + 5)
B. Y-1 = 0.4(x - 5)
C. y - 3 = 0.4(x - 5)
Y5-06
1)
Answer:
The answer is A and B
Step-by-step explanation:
y-y=m(x-x)
y-(-3)=m(x-(-5))
y+3=0.4(x+5)
y-y=m(x-x)
y-1=0.4(x-5)
Solve for.
11x +4 < 15
OR
12x – 7 > -25
Choose 1 answer:
3
<3 <1
3
B
>>
1910
<1
Step-by-step explanation:
11x-4<15
11x<15+4
11x<19
x<1
The measure is the angles of a triangle are shown in the figure below. Solve for x
Answer:
30+48+x=180
x=102 ..........
..................
Need help ASAP! Directions in picture;)
solve for x and y show work please Y:______ X:_____
Answer:
the image was not clear....hope the values are correct
Answer is in the attached file.
At the bakery shop, each baker works at his or her own speed, making the same
number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60
cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes
made and days, who has the steepest graph? Explain.
Answer:
Marissa = 28 cakes in 2 weeks
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
To compare, make sure that the variables are of equal value
Marissa = 28 cakes in 14 days
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
How many cakes does each of them bake in a day?
Marissa = 28 ÷ 14
= 2 cakes/day
Carlos = 60 ÷ 20
= 3 cakes/day
Shelby = 5 ÷ 2
= 2.5 cakes/day
Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.
Which of these sets is a function ?
Answer:
A. trust me I did it and got 100
Answer:
D
since all the other 1st elements (Domains) of each ordered pairs are repeated in all options except D they are not functions.
In conclusion, a function is defined as a set of ordered pairs with wich each element of the domain has one unique y value.
What equation can be written for this graph?
Pls help!!!
Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
Point 1: x=2 and y=50Point 2: x=4 and y=100Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x