Answer:
7:13
Step-by-step explanation:
There are 14 girls and 12 boys, so there are 26 students in total. Since we are looking for the ratio of girls to students, the ratio will be 14:26. To simplify it, we will divide 14 and 26 by their greatest common factor: 2. We will get the ratio of 7:13.
I hope this helped! :)
What is 1/5 of 80 ?
1/5 of 80 is the same as dividing 80 by 5, then it is:
\(\frac{1}{5}\cdot80=\frac{80}{5}=16\)\(1/5\\of\\80\)
To find 1/5 of 80, we need to divide 80 by 5:
\(80/5\)
\(=16\)
Hope this helps!
need help with my practice for a test please give awnser and show your work so i know how to do :)
Answer:
Step-by-step explanation:
2 * 2 = 4u² (area of the central square)
2 * 2 : 2 = 2u² (area of one congruent triangle)
4 + 2 + 2 = 8u²
(u = units)
Answer:
8
Step-by-step explanation:
first we need to calculate the area of the square: A = 2^2=4
After that we calculate the are of the area of isosceles triangle: A=1/2*2*2=2
so the total area is 4+2+2=8 ( because we have 2 isosceles triangles )
ratio// please help!!
Answer:
The loose sweets
Step-by-step explanation:
100 divided by 0.89 = 112
120 divided by 1.49 = 80
Answer:
Step-by-step explanation:
1.49 ÷ 120 = 0.0124 GBP per gram
0.89 ÷ 100 = 0.0089 GBP per gram < 0.01 (The price of loose sweets is better value)
Prove that the two triangles are congruent. Be sure to include each step in the proof.
Triangle ABC and triangle DEF are congruent, according to the Side-Angle-Side (SAS) postulate.
Congruent Sides Angles: What Are They?If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent. Congruent sides angles are what these are called.
Triangle ABC must be shown to be congruent with triangle DEF.
By demonstrating that the two triangles have a single pair of congruent sides, we can get started. We can observe that AB and DE are both 6 cm long.
The congruent angle between the two triangles can be demonstrated. As BAC and EDF are both right angles, we can see that they are equivalent.
Thus, according to the Side-Angle-Side (SAS) hypothesis Triangle ABC is consistent with triangle DEF, we can say.
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Evaluate the perimeter of a football field measuring 150 m by 90 m
Answer:
Step-by-step explanation:
What is the volume of this prism?
Answer:
in the explanation
Step-by-step explanation:
seperate the prism into two. for the long rectanglular prism the formula is (6x2)x2 which is equal to 24. for the wider rectangular prism it's (4x4)x2=32. Add 32 and 24 together which makes the answer 56
through (-2,3) and (0,2 )
The slope of the line that passes through the points (x1, y1) is computed as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Given that the line passes through (-2,3) and (0,2), then its slope is:
\(m=\frac{2-3}{0-(-2)}=-\frac{1}{2}\)The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
Replacing the point (0, 2) and m = -1/2 into the general equation, we get:
2 = -1/2(0) + b
2 = b
Then, the equation of the line is:
y = -1/2x + 2
-30÷5=
bunun cevabı 6 mı??
Answer:
-6
Step-by-step explanation:
-30÷5=-6
this is the ans
Select the correct answer from each drop-down menu.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
Use the given expression to complete the statements below.
The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of.
The choices are for 1 are sum, quotient, square, product. Choices for 2 is quotient, sum, product, difference. Choices for 3 are compounding periods, months, years.
Complete Question:
sierrac3000
06/28/2019
Select the correct answer from each drop-down menu.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
250(1+0.018/2)^2t
Use the given expression to complete the statements below.
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
1st Blank:
Product
Sum
Quotient
Square
2nd Blank:
Quotient
Product
Difference
Sum
3rd Blank:
Compounding Periods
Years
Months
Answer:
1st blank = product
2nd blank = sum
3rd blank = years
Step-by-step explanation:
The expression given above is :
250(1+0.018/2)^2t
The expression can thus be explained as:
The *product* of the amount initially deposited and the *sum* of one and the rate of increase raised to the number of *years*
A certain fabric costs $2 per foot. You purchase 6 YARDS of the fabric. What is the total cost, in dollars, of the fabric you purchase? The answers are, $4, $12, $18, and $36
Answer:
$12
Step-by-step explanation: 2 x 6= 12
brainliest?
the semiannual rate is 0.5%
1. what is the APR
2. what is the EAR (use 6 decimal points)
If the semi-annual rate is 0.5%, then the Annual Percentage Rate is 0.0001%.
To find the Annual Percentage Rate (APR), we need to double the semiannual rate since there are two semiannual periods in a year.
So, the APR would be 1% (0.5% * 2).
2. To find the Effective Annual Rate (EAR), we can use the formula:
\(EAR = (1 + r/n)^n - 1\)
where r is the nominal interest rate and n is the number of compounding periods per year.
In this case, the nominal interest rate (r) is 0.5% and the compounding periods per year (n) is 2 (since it's a semiannual rate).
Plugging in these values into the formula:
EAR = (1 + 0.005/2)^2 - 1
EAR = (1.0025)^2 - 1
EAR = 1.005025 - 1
EAR = 0.005025
Therefore, the EAR (rounded to 6 decimal points) is 0.005025.
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Janelle and Hector work at the Pumpkin Pi Bakery as
2) Recall that the amount of profit the bakery earns
pie makers. Janelle can make 10 pies in 2 hours and each day depends on the number of pies made, n. This Hector can make 9 pies in 3 hours. Assume these rates profit can be found using the function are constant. How much profit do they bring to the
P(n) = 15.5 - 85. If Janelle and Hector make 20
bakery?
How many pies can Janelle and Hector make together in 1 hour? How many pies can Janelle and Hector make together in t hours?
Answer:
9 pies per hour
Step-by-step explanation:
If Janelle can make 10 pies in 2 hours
10 divided by 2 is 5
so she can make 5 pies per hour
If hector can make 9 pies in 3 hours
9 divided by 3 is 3
so he can make 3 pies per hour
so 3 + 5 is 9 pies per hour
together they they can make 9 pies per hour
What is the solution to this equation?
X/4= -12
A. x = -48
OB. x=3
OC. x= -3
OD. x = 48
Answer:
A. x = -48
Step-by-step explanation:
x/4 = -12
x = (-12)(4) = -48
Which numbers are written in scientific notation? Check all that apply.
–10.8 × 104
2.7 × 10–3
6.1 × 105
9.582 × 106
21.5 × 10–11
Answer:
\(2.7 \times 10^{ - 3} \)
\(6.1 \times 10^{5} \)
\(9.582 \times 10^{6} \)
Step-by-step explanation:
-
Answer:
B,C,D
Step-by-step explanation:
what is 75.3% of 1394
Answer:
1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500
Step-by-step explanation:
1394/x=100/75.3
(1394/x)*x=(100/75.3)*x - we multiply both sides of the equation by x
1394=1.32802124834*x - we divide both sides of the equation by (1.32802124834) to get x
1394/1.32802124834=x
1049.682=x
x=1049.682
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}\)
Step-by-step explanation:
\( \sf{75.3\% \: of \: 1394}\)
Convert 75.3 percent into fraction
To convert a percentage to a fraction, divide it by 100
\( \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}\)
Calculate
\( \dashrightarrow{ \boxed{ \sf{1049.682}}}\)
Hope I helped!
Best regards! :D
−8tan 1+tan2x Use appropriate identities to rewrite the following expression in terms containing only first powers of sine
By using Pythagorean identities the expression can be written as
-8 (sin ( x ) + 1 -sin 2x)
The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:
sin2θ + cos2θ = 1 (gives the relationship between sin and cos)
There are two other Pythagorean identities as follows :
sec2θ - tan2θ = 1 (gives the relationship between sec and tan)
csc2θ - cot2θ = 1 (gives the relationship between csc and cot)
Given expression is:
-8tanx/ 1 +tan2x
we know that:
By the Pythagorean Theorem:
1 + tan²x = sec²x
and tan x = sin x/cos x
and, sec x = 1/cos x
Now, we can write as:
-8tanx / 1 +tan²x
= -8 tan x / sec²x
= -8 sin x /cos x ÷ 1/cos²x
= -8 sin x/cos x × cos²x/1
= -8 (sin ( x ) + 1 -sin 2x)
Complete Question:
Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:
−8tan 1 + tan2x.
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4x - 1
2.
= x + 7
Can someone help please?
Answer:
6\(\frac{1}{3}\)
Step-by-step explanation:
4x-12 = x+7
4x-12+12 = x+7+12
4x = x+19
4x-x = x+19-x
3x=19
x = 6\(\frac{1}{3}\)
And if we substitute the value of x into the equation 4x-12 = x+7,
we will get 13\(\frac{1}{3}\) = 13\(\frac{1}{3}\) in the end.
Hope this helps :)
In the diagram below, all measurements are given correct to the nearest cm. Calculate the greatest possible area of the shaded region.
The possible area of the region that is shaded is given as 462cm.
How to solve for the area of the shaded regionThe picture here shows us two rectangles.
The area of a rectangle is given as L * w
= length x width
We have to find the area of the first rectangle
21cm x 42cm
= 882 cm
Next we find the area of the rectangle inside
15cm x 28cm
= 420
To get the area of the shaded region
= 882 - 420
= 462cm
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A new Honda Civic costs $ 22 , 000 the year it is made. This car depreciates, losing value at a rate of 5 % each year on average. After 3 years, what is the amount the car has lost in value?
Answer: 3300
Step-by-step explanation: Three years is 15%, 15% of 22,000 is 3,300
I think this is the answer, tell me if it works
Find the unit vectors perpendicular to both a and b when a =4i^+2j^−k^ and b =i^+4j^−k^. ;
The unit vector perpendicular to both a and b is:\(u = (-i -3j -3k) / sqrt(19)\).
What is the unit vector perpendicular to both a and b?To find a unit vector perpendicular to both vectors a and b, we can use the vector cross product:
(a x b)
where "x" represents the cross-product operator. The resulting vector is perpendicular to both a and b.
First, let's find the cross-product of a and b:
\(a x b = |i j k|\)
\(|4 2 -1|\)
\(|1 4 -1|\)
We can expand the determinant using the first row:
\(a x b = i * |-2 -4| - j * |4 -1| + k * |-4 -1|\)
\(|-1 -1| |1 -1| |4 2|\)
\(a x b = -i -3j -3k\)
Next, we need to find a unit vector in the direction of a x b by dividing the vector by its magnitude:
\(|a x b| = sqrt((-1)^2 + (-3)^2 + (-3)^2) = sqrt(19)\)
\(u = (a x b) / |a x b| = (-i -3j -3k) / sqrt(19)\)
Therefore, the unit vector perpendicular to both a and b is:
\(u = (-i -3j -3k) / sqrt(19)\)
Note that there are actually two unit vectors perpendicular to both a and b, because the cross product is a vector with direction but not a unique orientation. To find the other unit vector, we can take the negative of the first:
\(v = -u = (i + 3j + 3k) / sqrt(19)\)
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Jacob has 98 pennies. how many quarters does he have?
Answer:
If you mean by total of pennies, 3.
If you mean literally then its 0.
Does that even make sense?
1 Quarter - 25
2 quarter - 50
3 quarter - 75
4 quarter - 100.
Write these values in order starting with the smallest: 0. 5 1/5 5%
Answer:
0, 5%, 1/5, 5
5% is equal to 5÷100=0,05
1/5 is equal to 1÷5=0,2
−4 + [12 × (−8)] – 62
Answer:
-162
Step-by-step explanation:
that the answer
Answer:
-162
Step-by-step explanation:
Multiply: −4 + [12 × (−8)] – 62
Remover parentheses: -4 + (-96) – 62
Calculate sum: -4 – 96 – 62
The ratio of a to b is 4/7. If a is 16, find the value of b.
Answer:
B=28
Step-by-step explanation:
Suppose that A is an n x n matrix such that det(A) = -3. Which of the following inverse matrices will always exist? (AB)-1 for any n x n matrix B (AT)-1 O (A + B)-1 for some invertible matrix B where det(B) has the same sign as det(A) O B-1 where matrix B is formed by exchanging two columns of A
O (A + B)-1 for some invertible matrix B where det(B) has the same sign as det(A)
A matrix A has an inverse only if its determinant is not equal to zero. So, if det(A) ≠ 0, then A is invertible.Let A be an n x n matrix such that det(A) = -3.We have to find out which of the given inverse matrices will always exist.Solution:Option A: (AB)-1 for any n x n matrix BThe inverse of AB does not necessarily exist, as B may not have an inverse. This is because det(B) ≠ 0 for B to have an inverse. Therefore, option A may not exist. Option B: (AT)-1The inverse of AT may or may not exist. Therefore, option B may not exist.
Option C: (A + B)-1 for some invertible matrix B where det(B) has the same sign as det(A)Now, consider the inverse of A + B. Then, we have(A + B)(A + B)-1 = I_nOr, AA-1 + AB-1 + B-1A + B-1B = I_nThis equation reduces toAB-1 + B-1A = I_n - A-1Here, we need B-1 and det(B) ≠ 0 for B to have an inverse. Therefore, B-1 exists and det(B) has the same sign as det(A) is required so that (A + B)-1 always exists. Hence, option C always exists. Option D: B-1 where matrix B is formed by exchanging two columns of AExchanging columns of A can change the determinant of A. Therefore, B may not have an inverse. Hence, option D may not exist.
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What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
13
21
3
Answer:
\(\huge\boxed{\tt{3}}\)
Step-by-step explanation:
Given the expression:
\(\displaystyle \frac{3y+6}{2x}\)
Given that: y = 4 , x = 3
\(\displaystyle = \frac{3(4)+6}{2(3)} \\\\= \frac{12+6}{6} \\\\= \frac{18}{6} \\\\= 3\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Is the following statement true or false? AB and AC intersect.
True
Because you would first need to find the calculus of 3 and then divide 4 and
crossover it to 5 by the power of 20. Then you would need to get
measurements of angle AC which is 145* and then find the square root of 160.
Once that is done find angle AB (172*) and add it to -pix. After that add it all
up and find the quotient. Then multiply it by infinite. So it is true
I hope this helps
Place the following steps in order to describe how to solve the following equation?!
How many cookies will Tanya have if she bakes 12 more batches y = 70 + 18 (x)
y=70+18(x)
y=70+18(12)
y=70+216
y=286
Step-by-step explanation:
since Tanya bakes 12 more cookies,
x=12
y= 70 + 18(12)
y=70 + 216
y= 286
therefore, she bakes 286 cookies with twelve more batches
Can someone pls helppp asap
Around your answer to the nearest hundredth find the surface area and volume.
The total surface area of the prism is 48.52 mm² and the volume of the triangular prism is 17.70 mm³.
What is a triangular prism?A triangular prism is a three-dimensional geometric shape that consists of two parallel triangular bases and three rectangular faces that connect the corresponding sides of the bases. It has a total of six faces, nine edges, and six vertices. The height of the prism is the perpendicular distance between the two bases, and the lateral edges are the three edges that connect the corresponding vertices of the bases. The volume of a triangular prism can be found by multiplying the area of one of the triangular bases by the height of the prism, and the surface area can be found by adding up the areas of each six faces. Triangular prisms are commonly used in architecture, engineering, and geometry.
To find the surface area of the triangular prism, we first need to find the area of the triangular base, which is an equilateral triangle with side length 2.7 mm.
Area of triangular base = (√3 / 4) x (side length)²
= (√3 / 4) x (2.7 mm)²
= 3.16 mm^2 (rounded to the nearest hundredth)
Since the base is an equilateral triangle, the perimeter is 3 times the side length:
Perimeter of triangular base = 3 x 2.7 mm
= 8.1 mm
Lateral area of prism = Perimeter of the triangle x Height
= 8.1 mm x 5.6 mm
= 45.36 mm²
The total surface area of the prism will be the sum of the area of the base and the lateral area:
Surface area = Area of triangular base + Lateral area of prism
= 3.16 mm² + 45.36 mm²
= 48.52 mm² (rounded to the nearest hundredth)
To find the volume of given triangular prism, we can use the formula:
Volume = Area of triangular base x Height of prism
= 3.16 mm² x 2.3 mm
= 17.696 mm³ = 17.70 mm³ (rounded to the nearest hundredth)
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