The value of x to 1 decimal place is,
⇒ x = 128.2 mm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The figure of triangle is shown.
Here, The length of perpendicular distance = x mm
And, The hypotenuse = 178 mm
Hence, We get;
⇒ sin 34° = x / 178
⇒ 0.72 = x/178
⇒ x = 0.72 × 178
⇒ x = 128.2 mm
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1 point
James carries a balance on his credit card each month. Today is the first
day of the new, 30-day billing cycle. The current balance is $x and the APR
is 30%. James is buying his father a gift that costs $1,500 that he plans to
put on his credit card. This will be his only purchase this month, and he will
be making this purchase on the first day of the billing cycle. If his finance
charge will be $60, what is the current balance on his credit card *
James's current balance on his credit card is $900.
This amount represents the card's balance before the current charge of $1,500 and the finance charge of $60.
What is a credit card balance?A credit card balance is the amount of the charges made on a credit card, including the finance charges, and therefore, owed to a credit card company.
Data and Calculations:Current current balance = $x
APR (Annual Percentage Rate) of interest = 30%
Monthly APR = 2.5% (30%/12)
Current purchase for the month = $1,500
Finance charge for the month = $60
Finance charge for the current purchase = $37.50 ($1,500 x 2.5%)
Finance charge for the current balance = $22.50 ($60 - $37.50)
The current balance that attracts the finance charge of $22.50 will be $900 ($22.50/2.5%).
Alternatively:
Since the monthly APR is 2.5% and the finance charge is $60 for the month, the balance at the end of the month is $2,400 ($60/2.5%).
Thus, the current balance on James' credit card is $900 ($2,400 - $1,500) while the end-of-the-month balance is $2,460 ($900 + $1,500 + $60).
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How many triangles can be formed with segments measuring 6 1/4 in., 10 5/8 in., and 4 1/3 in.?
from the drop-down menu to correctly complete the statement. (Choose...) can be formed from these segments.
Options : No triangles, One triangle, More than one triangle
PLS HELP I SUCK AT MATH
Answer:
One triangle can be constructed
Step-by-step explanation:
I took the test hope this helps
Answer:
the answer is NO TRIANGLES
Step-by-step explanation:
i got the answer wrong, and this was the right answer. i wouldn't lie!
What would be the equation of the cannonball’s path if it was launched with the same velocity, but from the ground instead?
The quadratic equation cannonball’s path if it was launched with the same velocity, but from the ground instead would be given by:
[tex]h(t) = -4.9t^2 + 19.8t[/tex]
What is the quadratic equation for the height of a projectile?Considering the gravity, it is modeled by:
[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.For this problem, we want:
The same initial velocity, hence [tex]v_0 = 19.8[/tex].Launched from the ground, hence [tex]h_0 = 0[/tex].Then, the equation is:
[tex]h(t) = -4.9t^2 + 19.8t[/tex]
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HELP PLEASE JUST THIS QUESTION/ ILL GIVE BRAINLIEST IF CORRECT
Answer:
She earned $288 this week
Step-by-step explanation:
x = 12
Work = 2(12) + 8
24 + 8 = 32 hours
Earned = (12) - 3 = 9 per hour
32 × 9 = $288
I hope this helps!
Solve the proportion for x.
x/15 = x+3/24
Answer:
Step-by-step explanation:
15(x + 3) = 24x
15x + 45 = 24x
45 = 9x
5 = x
A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
51 degrees
53 degrees
37 degrees
39degrees
Answer:
I believe its 53 degrees
Step-by-step explanation:
The hight
Answer:
Angle of depression = 51° (to nearest degree)
Step-by-step explanation:
Using tan trig ratio (where x is the angle, O is the side opposite the angle and A is the side adjacent to the angle)
[tex]tan(x)=\dfrac{O}{A}=\dfrac{9.3}{7.4}=\dfrac{93}{74}\\\\\implies x=\arctan\left(\dfrac{93}{74}\right)=51.49 \textdegree[/tex]
So angle of depression is 51.49° (to nearest hundredth)
Part A. If I wash 24 dogs and used 4 bottles of shampoo, How many dogs can I wash with only 1 bottle of shampoo?
Part B. How many bottles of shampoo should I order if I expect to wash 30 dogs this week?
#2
Dogs=30
Total shampoos=30/6=5if you want to make 1/3 pound hamburger how many can you make from 2 1/2 pounds of ground beef
Answer:
3
Step-by-step explanation:
2 1/2 pounds is equal to one pound.
If you want to make 1/3 pound hamburgers you can make 3 from 1 pound ground beef.
1/3+1/3+1/3=1
Find the value of x
Answer:
85 degrees
Step-by-step explanation:
7: 180 - 52 - 43 = 85 degrees
Find the value of x in the triangle shown below
Answer:
48 (i might be wrong)
Step-by-step explanation:
180-66-66=48
If f(x) = 9x - 8 and g(x) = x°, what is (gºf)(1)?
Enter the correct answer
Answer: (x°)° * (9x-8)*1
Step-by-step explanation: With the given functions, we can simplify this easily. g(x) = x°, so then multiplying the two functions together, is easy since they are simple equations. You get (x°)° * (9x-8) * 1 (since 1 was apart of the g function equation)
5. The area of a rectangle is 4 1/5
inches. If the length is 2 inches,
what is the length.
Answer:
If you mean width then...
Step-by-step explanation:
4.2=4 1/5
4.2/2=2.1
Answer: w=2.1
check:
l*w=A, 2*2.1=4.2
Use given triangle to fill in the blank.
PLEASE HELP ME!!!!!!!!!!!!
Answer:
the answer is a/b
Step-by-step explanation:
Answer:
a/b
Step-by-step explanation:
tan A = opposite side/ adjacent side
Yolanda has quarters, Q, and dimes, D, in her coin jar. She has a total of 31 coins.
The total amount of money in the jar is $4.75\$4.75$4.75 . Write two equations that could be used to find the number of quarters and the number of dimes in the jar.
Solve the equations to find out how many quarters and
how many dimes Yolanda has in her jar.
Answer:
11 Quarters 20 Dimes
Step-by-step explanation:
Q+D=31
25Q +10D = 475 (miltiplied all by 100 to avoid decimals)
Multiply the first by -10(to eliminate D)
-10Q - 10D = - 310
25Q+10D = 475
ADD BOTH( D will cancel)
15Q = 165
Q= 11
31-11 =20 (dimes =20)
11x0.25 = 2.75
20x0.10=2
2.75+2 = $4.75
1. 660
2. 330
3. 275
4. 550
Answer:
330m²Step-by-step explanation:
The area of a trapezoid is found using the formula, A = ½ (a + b) h
so
½(41 + 19) × 11 =
½ 60 × 11 =
30 × 11 =
330 m²
When a = 5 and b = - 3, the value of (a-b)/(a +b) is
Answer: 4
Step-by-step explanation: first plug the points into the equation
(5+3)/(5-3)
you switch the negative to a positive in the first part of the equation because 2 negatives equal a positive
Now, (5+3)/(5-3)= (8)/(2)
Finally 8/2=4
hope this helps
Answer:
8,-2
Step-by-step explanation:
These questions are so confusing. Please help. You get 15 points.
Answer:
13,260.22 mm²
Step-by-step explanation:
the area of the shaded region is the area of the larger circle minus the area of the smaller one
to find the area of the larger we will use half of 62 plus 41 as the radius:
Area (larger) = 3.14(72)²
= 16,277.76
Area (smaller) = 3.14(31)²
= 3,017.54
Area (shaded region) is 16277.76 - 3017.54 = 13,260.22 mm²
The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint
Answer:
The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint
Step-by-step explanation:
The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint
Find t′(x) from t(x)=√(−3x−7) using the definition of a derivative.
By definition of the derivative,
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{t(x+h) - t(x)}h[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\sqrt{-3(x+h)-7} - \sqrt{-3x-7}}h[/tex]
Rationalize the numerator by multiplying the fraction uniformly by its conjugate:
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\sqrt{-3(x+h)-7} - \sqrt{-3x-7}}h \times \dfrac{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\left(\sqrt{-3(x+h)-7}\right)^2 - \left(\sqrt{-3x-7}\right)^2}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{(-3(x+h)-7) - (-3x-7)}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]
[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{-3h}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]
[tex]\displaystyle t'(x) = -3 \lim_{h\to0} \frac1{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}[/tex]
The remaining limand is continuous at h = 0, so we can substitute h = 0 directly and get a limit/derivative of
[tex]\displaystyle t'(x) = -\frac3{\sqrt{-3(x+0)-7} + \sqrt{-3x - 7}} = \boxed{-\frac3{2\sqrt{-3x-7}}}[/tex]
Can you guys please help me slove this question? 6w-15w-19=91
Answer:
-12.2 rounded
Step-by-step explanation:
Combine like terms.
Move constants to one side of equal sign
divide
6w-15w-19 =91 combine like terms
-9w-19 = 91 add 19 to both sides
-9w = 110 divide by -9
w = -12.2 repeating or 12.2
The line that passes through the points (-6, p) and (-10, 2) has a slope of -1/6. What is the value of p?
Work Shown:
Slope = rise/run
Slope = (change in y)/(change in x)
Slope = (2-p)/(-10-(-6))
Slope = (2-p)/(-10+6)
Slope = (2-p)/(-4)
Set this equal to the stated slope -1/6 and solve for p
(2-p)/(-4) = -1/6
6(2-p) = -4(-1)
12-6p = 4
-6p = 4-12
-6p = -8
p = -8/(-6)
p = 4/3
Hey guys so I am struggling on this one question and I need your guys help!
6/7 x 2 14/27 = ???
Answer:
[tex]\sf 2\frac{10}{63}[/tex]
steps:
[tex]\sf \frac{6}{7} *2\frac{14}{27}[/tex]
convert into mixed fraction
[tex]\sf \frac{6}{7}\cdot \frac{68}{27}[/tex]
multiply both fractions
[tex]\sf \frac{6\cdot \:68}{7\cdot \:27}[/tex]
simplify the fraction
[tex]\frac{408}{189}[/tex]
final answer in improper fraction
[tex]\sf \frac{136}{63}[/tex]
convert in mixed fraction
[tex]\sf 2\frac{10}{63}[/tex]
To solve the system of equations 6x – 4y = 9 and
3x + 12y = 5, which system of equations has the
same solution as the system?
Answer:
4x-2y=6
Step-by-step explanation:
i believe this works
The conditional relative frequency table was generated using data that compares the number of boys and girls who pack their lunch or buy lunch from the cafeteria. A 4-column table with 3 rows. The first column has no label with entries boys, girls, total. The second column is labeled cafeteria with entries 0. 44, 0. 4, 0. 42. The third column is labeled pack with entries 0. 56, 0. 6, 0. 58. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. 35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number. Students.
Answer:
734y 87tt795795708 679 ft
Answer:
I don't know
Step-by-step explanation:
A rectangle prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2 cm.
The prism is filled with cubes the have edge lengths of 1/2 cm .
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,_____ cubes are needed.
Answer:
The heartened are in cm so it's L x W x H which would be 7 x 4 x 2.5 = 70cm cubes.
But because our cubes are 1/2cm cubes, each 1cm cube holds 8 1/2 cm cubes. (2 x. 05 long by 2 x 0.5 wide by 2 x 0.5 high)
So we need to multiply our 70 cm cubes by 8.
70x 8 = 560 1/2 cm cubes.
I WILL GIVE BRAINLIEST PLEASE ANSWER CORRECTLY Mr. and Mrs. Bailey hope to send their son to college in eleven years. How much money should they invest now at an interest rate of 9% per year, compounded continuously, in order to be able to contribute $7500 to his education? Do not round any intermediate computations, and round your answer to the nearest cent.
Mr. and Mrs. Bailey need to invest $2906.50 for eleven years so as to be able to contribute $7500 their son education.
Compound interestCompound interest is given by:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where A is the final amount, P is principal, r is the rate and n is the times compounded per year, t is the time
Given that t = 11, n = 1, r = 9% = 0.09, A = $7500 . Hence:
[tex]7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50[/tex]
Mr. and Mrs. Bailey need to invest $2906.50 for eleven years so as to be able to contribute $7500 their son education.
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The cable company withdraws $67 per month from Denise's checking account
for automatic bill payment. There was $250.75 in Denise's checking account at
the beginning of the year, and no other deductions or additions were made to
the account. How much money is in the account after two months?
Answer: 116.75
Step-by-step explanation: Since $67 is being withdrawn from her checking account EACH month the equation would be $250.75 - 67x.
We already know the value of "x" (2) so we plug that in.
250.75 - 67(2)
Now we multiply and subtract.
250.75 - 134
116.75
Solve cos theta=- sqrt (3)/2 on [0, 2pi) Write the first solution or lowest on [0, 2pi) . Round to the nearest hundredth .
Answer:
2.62 radians
Step-by-step explanation:
The angle is found from its cosine using the inverse cosine function.
cos(θ) = (-√3)/2
θ = arccos((-√3)/2) = 5π/6 ≈ 2.62 . . . radians
Factor x3 x2 x 1 by grouping. What is the resulting expression?.
The factors of the equation [tex]\rm x^3+x^2+x+1\\\\[/tex] are [tex]\rm (x^2 +1)(x +1)[/tex].
What are the factors?
A factor is a number that divides another number leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
Given
The equation is;
[tex]\rm x^3+x^2+x+1[/tex]
The factors of the equation are given by;
[tex]\rm = x^3+x^2+x+1\\\\ = x^2(x +1) + 1( x +1 )\\\\= (x^2 +1)(x +1)[/tex]
Hence, the factors of the equation [tex]\rm x^3+x^2+x+1\\\\[/tex] are [tex]\rm (x^2 +1)(x +1)[/tex].
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If Carly has 3 apples and she eats 2 of them how many apples does she have left
Answer:
SHE HAS ONLY HAS 1 LEFT
Step-by-step explanation:
3 - 2 = 1
