Answer:
secΘ
Step-by-step explanation:
The reciprocal of cos x is
[tex]\frac{1}{cosx}[/tex] = sec x
reciprocal of cosΘ is secΘ
Answer:
The answer is secΘ
Complete the following subtraction problems.
a. 9.5 – 3.2
b. 6.213 – 1.8219
c. 38.9 – 9.2
d. 3.76 – 2.9
e. $ 6.50 – 1.88
f. $ 6.52 – 2.37
g. $ 4.47 – 1.18
h. $ 156.25 – 83.73
Answer:
A . 6.3
B . 4.4002
C . 29.7
D . 0.86
E. 4.62
F. 4.15
G. 3.29
H. 72.5
A=6.3
B=4.3911
C=29.7
D=0.86
E=4.62
F=4.15
G=3.29
H=72.52
25 POINTS
I need help in calculating the total cost of packaging for both shapes, the image below:
Multiply your surface area by your cost/ square in. for your current cereal box to find the total cost of packaging. Then do the same with the new measurements for the new container.
Answer:
1. $21.60 2. 64.80
Step-by-step explanation:
I hope this helps :)
PLEASE HELP!!! Thank you
t = p(x)
The reason I put the x in the parentheses is because I’m not sure what the variable is supposed to be. But x stands for how many kilograms she buys, so you can out in the correct variable later.
Hope this helps!
If it does I would appreciate it if you could make me brainliest.
Answer:
t = pk
Step-by-step explanation:
Let
k = kilograms
You need another variable than just t and p.
p needs to be multiplied by another variable that represents kilograms. I used
k because kilograms starts with k.
PLEASE HELP ME FAST!
Answer:
50% chance
Step-by-step explanation:
There is a 50% chance because there in a 3/6 chance he will pick a number above 2
Can someone please help me!? I have to turn this in today !
1. “How many possible “green power” options did you find in your research?”
2. What were the options you found?
3. Which is any do you feel are viable energy sources for the future why?
4. Which if any do you feel are NOT! viable energy sources for the future why?
Answer:
Step-by-step explanation:
1. 15 green power options
2. sun
wind
water
earth
tide
waves
oceans
renewable energy
biofuel
uranium
coal
natural gas
oil
tires
biomass
3. most are all viable energy sources for the future because you need them all for example like the sun if we do not have sun then we all will die
4. Oil is not a viable energy source because think of how many gallons are dumped in the ocean and how many animals and fish it kills
What is the area of a parallelogram with a height of 7 feet and a base of 12 feet?
19 ft2
38 ft2
42 ft2
84 ft2
Answer:
84ft^2
Step-by-step explanation:
Relying on formula S(area) =a(base) *h(height )
Answer:
84ft2
Step-by-step explanation:
Find the product of 1 3/5 and 8 (show work please tysm)
Answer:
20 4/5
Step-by-step explanation
13/5 x 8/1 = 104/5= 20 4/5
The product of [tex]\(1 \frac{3}{5}\)[/tex] and [tex]\(8\)[/tex] is calculated by first converting the mixed number to an improper fraction and then multiplying the two fractions together.
Step 1: Convert [tex]\(1 \frac{3}{5}\)[/tex] to an improper fraction.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fractional part and add the numerator of the fractional part. Then, place the result over the original denominator.
For [tex]\(1 \frac{3}{5}\)[/tex] , the whole number is [tex]\(1\)[/tex], and the fractional part is [tex]\(\frac{3}{5}\)[/tex]. So, we have:
[tex]\[ 1 \times 5 + 3 = 5 + 3 = 8 \][/tex]
Thus, [tex]\(1 \frac{3}{5}\)[/tex] as an improper fraction is [tex]\(\frac{8}{5}\)[/tex].
Step 2: Multiply the improper fraction by \(8\).
Now, we multiply [tex]\(\frac{8}{5}\)[/tex] by [tex]\(8\)[/tex] . When multiplying fractions, we multiply the numerators together and the denominators together:
[tex]\[ \frac{8}{5} \times 8 = \frac{8 \times 8}{5} \][/tex]
Step 3: Simplify the product.
[tex]\[ \frac{8 \times 8}{5} = \frac{64}{5} \][/tex]
So, the product of [tex]\(1 \frac{3}{5}\)[/tex] and [tex]\(8\)[/tex] is [tex]\(\frac{64}{5}\)[/tex].
To express this as a mixed number, we divide [tex]\(64\)[/tex] by [tex]\(5\):[/tex]
[tex]\[ 64 \div 5 = 12 \text{ remainder } 4 \][/tex]
Thus, [tex]\(\frac{64}{5}\)[/tex] as a mixed number is [tex]\(12 \frac{4}{5}\)[/tex].
The final answer is[tex]\(12 \frac{4}{5}\) or \(\frac{64}{5}\).[/tex]
What is the explicit rule for the sequence?
12,6, 0, -6, ...
an = 18 - 6n
an = 18 – 12n
an= 18 + 6n
an = 6 - 6n
help please!
The answer is the first one. an=18-6n
because
18-6 (1) = 12
18-6 (2)=6
18-6 (3)=0
18-6 (4)= -6
and so on
hope this helps
What is the solution to the equation (picture)?
Answer:
The solution of the equation is 15
Step-by-step explanation:
* Lets explain how to solve the problem
- The equation is 3(2x + 5) = 3x + 4x
- The solution of the equation is the value of x
Lets find the value of x
- The left hand side is 3(2x + 5) lets simplify it
- Multiply the two terms of the bracket by 3
∵ 3(2x+ 5) = 3 × 2x + 3 × 5
∴ 3(2x + 5) = 6x + 15
- The right hand side is 3x + 4x
∵ They are like terms, then we will add them
∴ 3x + 4x = 7x
- Now equate the left hand side and the right hand side
∴ 6x + 15 = 7x
- Subtract 6x from the two sides
∴ 15 = 7x - 6x
∴ x = 15
∵ x is the solution of the equation
∴ The solution of the equation is 15
Bao yu is completing the square to solve the polynomial epuation
X^2-x-3=0.
What should her first step be ?
Answer:
The first step would be to add 3 on both sides of the equation.
Step-by-step explanation:
Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;
x^2 -x -3 +3 = 0 + 3
x^2 - x = 3
Answer:
The first step of Bao yu is to isolate the constant
Step-by-step explanation:
For using completing the square to solve the polynomial equation, the equation should be of the type [tex]a^2 \pm 2ab +b^2[/tex] that can also be written as:[tex](a\pm b)^2[/tex]
so, for the given equation: [tex]x^2 -x -3 =0[/tex]
The first step should be to isolate the constant:
[tex]x^2 -x = 3[/tex]
Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x
so,by adding (1/2)^2 on both sides of equation, we can complete the formula:
[tex]x^2 -x = 3[/tex]
[tex]x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2[/tex]
Solving we get,
[tex](x- (\frac{1}{2}))^2 = 13/4[/tex]
So, the first step is to isolate the constant.
16. Andrew borrowed $695 for a new TV. He will make
10 monthly payments of $75 to repay the loan.
How much will he pay in interest?
$75
$695
$750
$5.50
$55
The answer is $55
You multiply 10 by 75 which gives you $750 and subtract the borrowed money by $750 to get $55
Final answer:
Andrew will pay a total of $55 in interest on the $695 loan when he makes 10 monthly payments of $75 each.
Explanation:
The student is asking how much interest Andrew will pay on a $695 loan if he makes 10 monthly payments of $75 each. To find the total interest paid, we need to calculate the total amount Andrew will pay back and then subtract the original loan amount from it.
Total amount paid by Andrew = 10 monthly payments times $75/payment = $750
Original loan amount = $695
Interest paid = Total amount paid - Original loan amount = $750 - $695 = $55
Therefore, Andrew will pay $55 in interest to repay the loan for the new TV.
The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?
7 feet
8 feet
9 feet
10 feet
Answer:
10 feet
Step-by-step explanation:
Area of rectangle
A = L * W
W = A/L
W = 80 / 8
W = 10
Answer
10 feet
The Area of the rectangle is the product of length and width. The width of the rectangle is 10 ft.
How to find the area and the perimeter of a rectangle?For a rectangle with length and width L and W units, we get:
Area of the rectangle = (L × W) unit^2
Perimeter of the rectangle = 2(L + W) units
Given the area of the rectangle is 80 ft², while the length of the rectangle is 8 feet. Therefore, the width of the rectangle will be,
Area of the rectangle = Length × width
80 ft² = 8 ft × width
width = 10 ft
Hence, the width of the rectangle is 10 ft.
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the axis in the coordinate plane, which runs horizontally, is the _ _ _ _ _ _ axis.
a. x
b. y
c. origin
d. none of these
X axis is the answer to you question because it’s going across not up nor down
The answer is A. The x-axis
How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?
Answer:one solution
Step-by-step explanation:
Given
a=42
b=34
angle A=117
using sine rule
[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{42}{sin117}=\frac{34}{sinB}[/tex]
[tex]sinB=\frac{34}{42}\times sin(117)[/tex]
sinB=0.7212
[tex]B=46.161 ^{\circ}[/tex]
and A+B+C=180
[tex]C=16.839^{\circ}[/tex]
Thus 2 triangles can be formed with given value
Answer:
one solution
Step-by-step explanation:
What is the completely factored form of the expression 16X2 +18X+32
ANSWER
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
EXPLANATION
The given expression is
[tex]16 {x}^{2} + 18x + 32[/tex]
The greatest common factor is 2.
We factor 2 to obtain:
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
The expression in the parenthesis is prime.
This means that the quadratic expression in the parenthesis cannot be factored.
Hence the completely factored form is:
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
Answer:
2(8 {x}^{2} + 9x + 16)
Step-by-step explanation:
2 is the gcf so you factor it outnow it is unfactorable
an arrangement of flowers originally priced at $46 is marked down to $35 what is the percent of decrease rounded to the nearest whole number
The answer is 24% I hope this helps : )
For this case we must make a rule of three:
$ 46 -----------------> 100%
$ 35 -----------------> x
Where "x" represents the percentage of the discounted cost.
[tex]x = \frac {35 * 100} {46}\\x = 76[/tex]%
We subtract to know how much was the discount percentage:
100% -76% = 24%
Thus, the discount percentage was 24%
ANswer:
24%
How many families have at least 4 pets?
Answer:
6 families have at least 4 pets
Step-by-step explanation:
Hope it helped you!
The results from the customer survey are being put together into different types of graph.
Help your colleagues by working out the degrees of a pie chart each result should be shown as.
Answer:
Strongly Disagree: 24°
Somewhat Disagree: 16°
Neither Agree nor Disagree: 100°
Somewhat Agree: 350/900 = 140°
Strongly Agree: 200/900 = 80°
Step-by-step explanation:
To find the degrees on a pie chart we need to find the proportion of each category over the total.
The total is: 60 + 40 + 250 + 350 + 200 = 900
The proportions of each category is going to be:
Strongly Disagree: 60/900 = 1/15.
Somewhat Disagree: 40/900 = 2/45.
Neither Agree nor Disagree: 250/900 = 5/18.
Somewhat Agree: 350/900 = 7/18.
Strongly Agree: 200/900 = 8/9.
We find the degrees by multiplying the proportions to 360 degrees as follows:
Strongly Disagree: 24°
Somewhat Disagree: 16°
Neither Agree nor Disagree: 100°
Somewhat Agree: 350/900 = 140°
Strongly Agree: 200/900 = 80°
The total should be 360°. Let's prove it:
24 + 16 + 100 + 140 + 80 = 360°.'
Find the image of (3, 6) reflected across the y-axis.
Answer:
(- 3, 6)
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y) → (- x, y), hence
(3, 6) → (- 3, 6)
The image of the point (3, 6) reflected across the y-axis is (-3, 6) since only the x-coordinate changes sign.
Reflection of a point across the y-axis in a Cartesian coordinate system involves changing the sign of the x-coordinate of the point while keeping the y-coordinate the same. For point (3, 6), when it is reflected across the y-axis, the x-coordinate becomes the opposite sign, while the y-coordinate remains unchanged. Therefore, the image of the point (3, 6) after reflection across the y-axis is at (-3, 6). This transformation elucidates the geometric effect of y-axis reflection, showcasing how points are mirrored across the axis while maintaining their vertical position, essential in geometry, graphics, and spatial reasoning for analyzing symmetrical patterns and transformations.
Using the Quadratic Formula, which of the following is the solution to the quadratic equation x2 + 2x - 3 = 0?
x = -1, -3
x = 1, -3
x = -1, 3
x = 1, 3
Answer:
x=1, -3
Step-by-step explanation:
geometric sequence
-48, 96, -192, 384, …
What about it? From least to greatest?
-192, -48, 96, 384
The ornament below is composed of two congruent square pyramids. Each square pyramid has base side lengths of 2 inches and a height of 2.5 inches.
What is the volume, in cubic inches, of the ornament?
Answer:
The volume of the ornament is [tex]6\frac{2}{3}\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the ornament is equal to the sum of the volume of the two congruent square pyramids
so
[tex]V=2[\frac{1}{3}b^{2} h][/tex]
we have
[tex]b=2\ in[/tex]
[tex]h=2.5\ in[/tex]
substitute
[tex]V=2[\frac{1}{3}(2)^{2} (2.5)][/tex]
[tex]V=\frac{20}{3}\ in^{3}[/tex]
Convert to mixed number
[tex]\frac{20}{3}=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ in^{3}[/tex]
Answer:
C
Step-by-step explanation:
Which of the following statements are true?
1. The difference between -1.4 and -8.3 is positive.
2. -1.4 + 8 3 has the same value as the difference between -1.4 and -8.3.
3. The between -8.3 and -1.4 has the same value as the difference between -1.4 and -8.3.
A. 1 only
B. 1 and 2
C. All the statements are true.
D. None of the systems are true.
Answer:B
Step-by-step explanation:
Please answer right away
Answer:
5/9
Step-by-step explanation:
To have an even number (let's call it E) OR a number greater than 9 (let's call it N), you can have EITHER of them.
So, to calculate the probability, you need to find the probability of having E and then the probability of having N... then ADD them together.
To calculate the probability, just look on the image.
Probability of having an even number: 18 (red circles)
Probability of having a number greater than 9 (that is NOT already counted in the even scenario): 2 (within the blue zone, but not red)
We don't count a same possibility (like 6,4) twice, only once.
Total: 18 + 2 = 20
Out of 36 possibilities
So, probability is 20/36, or 10/18 or 5/9.
Four wires (all with different colors) need to be attached to a circuit board. A robotic device will
attach the wires. The wires can be attached in any order, and the production manager wishes to
determine which order would be fastest for the robot to use. Use the multiplication rule of counting
to determine the number of possible sequences of assembly that must be tested.
Answer:
24
Step-by-step explanation:
There are four options for the first wire.
After the first wire has been attached, there are three wires left that can be second.
After the second wire is attached, there are two wires that can be third.
After the third wire is attached, only one wire remains. It has to be last.
So the number of ways is:
4×3×2×1 = 24
PLEASE HELP!!! GEOMETRY AND IDK WHAT IM DOING NEED TO PASS
In the diagram, and . What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?
Answer:
revolvelution
Step-by-step explanation:
Answer with explanation:
To prove two triangles are similar using SSS Similarity Criterion we need to prove that sides of triangles are Proportional.
Sides of two triangles can be obtained using Distance formula.
Coordinates of ΔABC are= A(0,0) , B(6,3) and C(-3,3)
Coordinates of ΔFGH are=F(-3,-2),G(-1,-3) and H(-4, -3)
[tex]AB=\sqrt{(6-0)^2+(3-0)^2}\\\\=\sqrt{36+9}\\\\=\sqrt{45}\\\\=5\sqrt{3}\\\\BC=\sqrt{(6+3)^2+(3-3)^2}\\\\BC=9\\\\AC=\sqrt{(-3-0)^2+(3-0)^2}\\\\AC=\sqrt{9+9}\\\\=\sqrt{18}\\\\=3\sqrt{2}\\\\FG=\sqrt{(-3+1)^2+(-2+3)^2}\\\\FG=\sqrt{4+1}\\\\FG=\sqrt{5}\\\\GH=\sqrt{(-1+4)^2+(-3+3)^2}\\\\GH=3\\\\HF=\sqrt{(-4+3)^2+(-3+2)^2}\\\\HF=\sqrt{1+1}\\\\HF=\sqrt{2}[/tex]
Ratio of Corresponding sides are
[tex]1.\rightarrow \frac{AB}{FG}=\frac{3\sqrt{5}}{\sqrt{5}}\\\\=3\\\\2.\rightarrow \frac{AC}{FH}=\frac{3\sqrt{2}}{\sqrt{2}}\\\\=3\\\\3.\rightarrow \frac{CB}{HG}=\frac{9}{3}\\\\=3\\\\\rightarrow \frac{AB}{FG}=\frac{AC}{FH}=\frac{CB}{HG}[/tex]
As corresponding sides are proportional, so trinagles are Similar.
⇒ ΔABC ≅ ΔFGH--------[SSS]
Hence proved.
In a fish tank 75% of the fish are goldfish. How many fish are in the tank if there are 24 goldfish pls answer!!!!!!
I believe it’s 8 because 24 divided 75% is 32.
To find the total number of fish in a tank where 75% are goldfish and there are 24 goldfish, solve the equation 0.75 × Total Number of Fish = 24, resulting in 32 fish in total.
The question asks about calculating the total number of fish in a tank knowing that 75% of them are goldfish, and there are 24 goldfish. To find the total number of fish in the tank, we set up a proportion based on the given information that 75% (or 0.75 when converted to a decimal) of the total number of fish equals 24 goldfish.
Mathematical equation: 0.75 × Total Number of Fish = 24.
To solve for the Total Number of Fish, we divide both sides of the equation by 0.75:
Total Number of Fish = 24 ÷ 0.75
Total Number of Fish = 32
Therefore, there are 32 fish in the tank in total.
Michael starts with $45 in his savings account and adds $5 to the account each week .write an expression for the number of dollars in Michael's savings account after a week's (w is the variable). Assume no money is added or removed from the account.pls need help asap
Expression: 45+(5 x w)
Hope this helps man.
The expression for the number of dollars in Michael's savings account after w week's will be;
⇒ y = $5w + $45
Where, y is total amount and w is number of weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Michael starts with $45 in his savings account and adds $5 to the account each week .
Now,
Since, Michael starts with $45 in his savings account and adds $5 to the account each week .
Hence, After w weeks the total amount (y) is,
⇒ y = $45 + $5w
Thus, The expression for the number of dollars in Michael's savings account after w week's will be;
⇒ y = $5w + $45
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What is x? I tried it but I don’t think I did it right.
Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
jose went jogging with sam. jose jogged 5/8 miles before resting. sam jogged 1/4 mile more before stopping. after resting, they continued jogging. each of them jogged a total distance of 2 1/5 miles. how far did sam job before stopping? what was the distance jose jogged after resting?
Answer:
7/8 miles63/40 or 1 23/40Step-by-step explanation:
1/4 = 2/85/8 + 2/8 = 7/8
2. 2 1/5 = 11/5
11/5 = 88/40
5/8 = 25/40
88/40 - 25/40 = 63/40
For this case we have to, if Sam ran [tex]\frac {1} {4}[/tex]of a mile more than Jose, then, before stopping he ran:
[tex]\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}[/tex]
I ran [tex]\frac {7} {8}[/tex]miles before stopping.
Now, Jose after resting ran ([tex]2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}[/tex]):
[tex]\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}[/tex]
Jose ran [tex]\frac {63} {40}[/tex]miles
ANswer:
[tex]\frac {7} {8}\\\frac {63} {40}[/tex]