Answer:
105 degrees
Step-by-step explanation:
The sum of the angles in a triangle add up to 180. Although we don't the know the numerical values of the angles, we can create an equation with the given expressions:
<P + <Q + <R = 180
(6x + 5) + (11x - 5) + x = 180
18x = 180
x = 10
Now, plug this value of x into the expression for Q:
<Q = 11x - 5 = 11 * 10 - 5 = 110 - 5 = 105
Thus, the measure of angle Q is 105 degrees.
Hope this helps!
Answer:
105 degrees
Step-by-step explanation:
The angles in a triangle must add to 180 degrees
<Q +<P + <R =180
We know <Q is 11x-5, <P is 6x+5 and <R is x, so we can substitute them in
11x-5+6x+5+x=180
Combine like terms
11x+6x+x +5 -5 =180
18x=180
Divide both sides by 18
x=10
Now we know x, and we can substitute that in to to find <Q
<Q=11x-5
<Q=11(10)-5
<Q=110-5
<Q=105
In the trapezoid, what is the measure of 1?
85°
115°
90°
Answer:
115°
Step-by-step explanation:
all angles of a trapezoid add up to 360° and corresponding pairs of base angles add up to 180°. this means that 65° and angle 1 would have to add up to 180°
180 - 65 = 115°
Answer:
85°
Step-by-step explanation:
Since it is a trapezoid one pair of opposite sides will be parallel.
As, AB||CD,
95°+ m<1 = 180°( co- interior angles)
m<1= 180°- 95°
m<1= 85°A baker uses the expression 3.25c+5.75p to calculate his profit when he sells c cakes and p pies.
What is the baker’s profit, in dollars, when he sells 10 cakes and 15 pies?
Answer:
118.75
Step-by-step explanation:
I used a calculator
5. Is the equation 2x + 8 = y a
direct variation? (yes or no)
Answer:
Yes.It is
Step-by-step explanation:
A relationship between two variables in which one is a constant multiple of the other. the types of variation include direct, inverse, joint, and combined variation keep that in hand
I need help on this math problem
Answer:IS C
Step-by-step explanation:
Please help me...
1A cashier earns $8 per hour.
2.tomatoes cost $0.70 per pound
Please help me I would really appreciate it ty
Answer:
1) 2/16 | 4/32 | 5/40 | 9/72
2) 2/1.4 | 3/2.1 | 6/4.2 | 8/5.3
Step-by-step explanation:
4*8 is 32
40/8 is 5
72/8 is 9
2.1/.7 is 3
6*.7 is 4.2
8*.7 is 5.6
With the first chart all it is doing is going up by 8. So, take the time and multiply it by 8. An if you noticed the time is counting up by 2. So for the missing time just count up by 2.
For the second chart it is a little harder. The second box for the weight seems to be 3 and all you have to do for the price is take the top number and multiply it by 0.70 and you should get your answer!
Thank you for asking you question i enjoyed helping!
-MajorJax3
Find the perimeter of the quadrilateral.
If x = 2, the perimeter is
inches.
Answer:
129 inches
Step-by-step explanation:
If x=2, just substitute in the x values for each side. Your lengths are 31, 32, 22, and 44.
4(2)^2+8(2)= 16+16=32
3(2)^2-5(2)+20=12-10+20=22
7(2)+30= 14+30=44
You are given an additional side of 31.
Add the values up together.
31+32+22+44=129
Find the volume of the pool shown. It consists of two prisms.
A.
1,765 feet cubed
C.
1,620 feet cubed
B.
1,234 feet cubed
D.
1,985 feet cubed
Daniel has read 60% of a book. He has 28 more pages to finish. How many pages are there in the book? There are nothing pages in the book.
The total number of pages in Daniel's book is 70 pages.
Given that Daniel has read 60% of it and that he has 28 pages left to finish it. The remaining 28 pages represent the
40% of the book that Daniel has not read yet.
We can set up the equation where 40% of the total page number (represented as x) equals 28 pages.
0.40x = 28
x = 28 / 0.40
x = 70
There are 70 pages in the book.
To find the total number of pages in the book, we'll start by setting up an equation based on the information provided. Let's denote the total number of pages in the book as x.
Daniel has read 60% of the book, leaving 40% unread. Given that he has 28 more pages to finish, we can express this information in an equation:
0.40x = 28
This equation represents the 40% of the book that Daniel has yet to read, which equals the 28 pages remaining.
To find the total number of pages ( x ), we divide both sides of the equation by 0.40:
[tex]\[ x = \frac{28}{0.40} \][/tex]
x = 70
So, there are 70 pages in the book. This solution implies that there are 70 pages, considering that "nothing" is simply a placeholder value and doesn't affect the calculation.
Sam is baking cakes at her parent’s bakery. She gets paid 20 a week in addition to 5 for every cake she bakes. She made 50 this week. Write an equation to show how many cakes Sam baked this week
Answer:
i think it is 20 + 5x = 50 or f(x)=2(3^x)
Step-by-step explanation:
equation to show how many cakes sam baked this week:
20 + 5x = 50
20 = 20 dollars
5 = 5 more dollars
x = number of cakes
therefore, sam earned $50 this week.
Answer:
20+5x=50
x will represent the number of cakes she baked
she gets paid $5 for every cake she bakes, this is where the 5x comes from
she makes $20 ("in addition" that's where the "+20" comes from) a week. However, in this case we're only talking about what she made in one week, hense why there is no variable attached to the 20
she makes a total of $50
20+5=50
she baked a total of 6 cakes. How?
subtract 20 from both sides so you have:
5x=30
divide both sides by 5 to get x by itself:
x=6
A construction company charges $50, per square feet for building floors. How much will it cost to build a floor with radius 10 ft. use the dollars sign in your answer. Use π = 3.14
Answer:
$15700
Step-by-step explanation:
To find the cost, you multiply $50 by the area of the floor. The floor must be a circle ("radius"), so to find the area of a circle, use the formula[tex]A=\pi r^2 \\ A=\pi(10)^2 \\ A=(3.14)(100)=314\text{ square feet}[/tex]
Multiply 314 sq. ft. by the cost per sq. ft.
314 x 50 = 15700
Answer:
69
Step-by-step explanation:for the boys
Find an equation equivalent to r = 5/1+cos(theta) in rectangular coordinates.
a. x^2=25-10y
b. y^2=10x-25
c. x^2=10y-25
d. y^2=25-10x
Please select the best answer from the choices provided
A
B
C
D
Final answer:
By applying polar to rectangular coordinates conversion formulas, the polar equation r = 5/(1+cos(θ)) is equivalent to the rectangular coordinate equation y² = 25 - 10x, which matches option D.
Explanation:
To convert the polar equation r = 5/(1+cos(θ)) to rectangular coordinates, we use the relationships between polar and rectangular coordinates: r = √x² + y² and cos(θ) = x/r. Substituting these into the given equation, we get:
r = √x² + y²;
cos(θ) = x/r;
r(1+cos(θ)) = 5;
r + r x/r = 5;
r + x = 5;
r = 5 - x;
Substitute back in for r, we get:
(√x² + y²) = 5 - x;
Squaring both sides gives us x² + y² = (5 - x)² which can be simplified to x² + y² = 25 - 10x + x². Canceling x² from both sides and reordering the terms gives us y² = 25 - 10x, which matches option D.
HELP PLEASE PLEASE :’(
The path of a shotput thrown is represented by the following parametric equations. Distance is measured in feet and time in seconds. Rewrite the parametric equations by eliminating the time parameter.
x(t)=23t
y(t)=5+19.3t-16t^2
a. y=5+444x-10,210x^2, x>or equal to 0
b. y=5+0.84x-0.70x^2, x>or equal to 0
c. y=5+444x-16x^2, x>or equal to 0
d. y=5+0.84x-0.03x^2, x>or equal to 0
Water is dripping out of a gutter onto a splash guard that follows the path represented by the parametric equations. Rewrite the parametric equations by eliminating the parameter.
x(t)=e^t
y(t)=2e^-t
a. y= 2/x, x>or equal to 0
b. y= 2/x, x>0
c. y= 2/(x^2), x>or equal to 0
d. y= 2/(x^2), x>0
Thanks!!!!!!
Practice:
1. A.
2. D. y=5+0.84x-0.03x^2, x>=0
3. B. y=2/x, x>0
Quiz:
1. A C E. (-4,4) (0,0) (6,9)
2. A. y=-1/3x+19/3
3. D. x=2y^2-1, y>=0
4. B. y=3/x^2, x>0
For the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
For the first parametric functions:
[tex]\rm x(t)=23t \\\\y(t)=5+19.3t-16t^2[/tex]
[tex]\rm t = \dfrac{x}{23}[/tex]
Put this value in the y(t)
[tex]\rm y=5+19.3(\dfrac{x}{23})-16(\dfrac{x}{23})^2[/tex]
y = 5+ 0.84x - 0.7x²
For the second parametric functions
[tex]\rm x(t)=e^t .....(1)\\\\y(t)=2e^-^t[/tex]
Taking ln in equation (1)
lnx = t
Put this value in equation (2)
[tex]\rm y=2e^{-lnx}[/tex]
y = 2/x, x>0
Thus, for the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0
Learn more about the parametric function here:
https://brainly.com/question/10271163
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Use the net to find the surface area of the rectangular prism. A) 168 units2 B) 192 units2 C) 220 units2 D) 224 units2
Answer:
See below.
Step-by-step explanation:
You didn't provide any dimensions to test the answers with, but here is how you could solve the problem.
A rectangular prism is just an oblong cardboard box basically. Think about how you would unfold that box. It would be made up of 3 pairs of rectangles (2 end pieces, the top and bottom, and 2 sides). To calculate its surface area you just calculate the areas of each piece and add them up.
The overall formula ends up being:
Area = 2(LW) + 2(LH) + 2(WH)
Ac is tangent to circle o at point c what is the length of ac?
Answer:
The Answer is 12
Step-by-step explanation:
Use Pythagorean theorem. AB=8 and BO=5 We still need to find AO
AO=AB+BO
8+5
AO=13
Now solve for AC
AC^2 + OC^2= AO^2
AC^2+5^2=13^2
AC^2+ 25=169
AC^2=144
AC= 12
Find the area of the pentagon.
A)
107 inches?
B)
116 inches?
150 inches
D)
182 inches?
Mary spent a total of $320.91 for a party. She spent $200.39 on food, plus an additional $30.13 for
each hour of the party. How long was the party?
A.. 3 hours
B.. 4 hours
C.. 5 hours
D.. 6 hours
Answer:
The party was 4 hours long.
Step-by-step explanation:
Subtract the total by the amount already known was spent directly.
320.91-200.39= 120.52
Now, in order to figure out how many hours the part was, take how much each hour and divide it by the remainder of money.
Thus, 120.52/30.13 = 4
All things put into consideration, The party was 4 hours long.
I hope this helped!!
~ Penny
If f(x) = 3[ x-2], what is f(5.9)
Answer:
f(x)=3[x-2]
So, f(5.9) = ?
f(5.9) = 3(5.9 - 2)
=3(3.9)
=11.7 = 12
so, the answer is 12.
Step-by-step explanation:
let me know if you need any other help:))
Answer:
9
Step-by-step explanation:
Edge 2020
THE ANSWER IS 9
~theLocoCoco
The volume of one prism is known, along with the height For the two prisms to be congruent, what must the area
of another prism. The values are shown below.
of the base be, given that the triangular bases are
congruent?
3 in 2
6 in?
12 in 2
15 in 2
15 in.
V = 90 in 3
Answer:
6in2
Step-by-step explanation:
i`m doing the assignment.
Answer:
6in^2
Step-by-step explanation:
The answer is 6in^2, I just did the assignment on Ed$ge$nuity and I got it right.
A reporter determines a baseball player’s batting average, which is a ratio of the number of hits to number of times at bat. The result is shown on a calculator as 0.212121....Write this repeating decimal as a fraction.
Answer:
21/99 or 7/33
Step-by-step explanation:
x = 0.212121
Then we multiple the decimal and x by hundred.
100x = 21.212121
Then we subtract the 21.212121 by 0.212121.
100x = 21.212121 - 0.212121
But when you are subtracting 100x, you need to subtract 100x by x because in the first step it said x = 0.212121.
100x - x = 21.212121 - 0.212121
You will have at the end is
99x = 21
Divide 99 on both side and you left with
21/99 or 7/33 simplified version
35% off $85.98 I'm having trouble with this.
Answer:
Step-by-step explanation:
i asked siri 55.87
Answer:
The new price is $55.887
Step-by-step explanation:
Step 1: Find the discounted price
Make an equation
85.98 * (1 - 0.35) = x
85.98 * 0.65 = x
Multiply
85.98 * 0.65 = x
55.887 = x
Answer: The new price is $55.887
PLEASE HELP ME!!!
Select the statement that correctly completes the sentence. When using more than one adjective, ________.
A. size comes after color
B. size comes after shape
C.size comes before color
D. size comes before opinion
Answer:
more comfortable
Step-by-step explanation:
Final answer:
When using more than one adjective, 'size comes before color', which is option C. Adjectives in English typically follow an established order, with the size adjective placed before the color adjective.
Explanation:
The correct statement that completes the sentence when using more than one adjective is C. size comes before color. In English, adjectives follow a specific order in which they appear before a noun. This order is generally: opinion, size, shape, age, color, origin, material, and purpose. Therefore, size should be placed before color when describing a noun with multiple adjectives.
For example, when arranging adjectives in a sentence, the phrase would be 'a small green book' rather than 'a green small book'. The adjective 'small' represents the size and 'green' represents the color, and according to the correct adjective order, size should come before color.
One letter weights 12 ounces.The mail carrier is allowed to carry 30 pounds.How many letters can he carry?
Answer:
The mail carrier can carry 40 letters.
Step-by-step explanation:
The first step is to put ounces into pounds.
1 lb = 16 oz This is the unit rate
0.75 lbs = 12 oz
Now put the 30 lbs into ounces
30 lbs = 480 oz
Divide 480 oz by 12 oz to find how many letters equal 480 oz.
480/12 = 40 letters
If this answer is correct, please make me Brainliest!
Answer:
Hi! I am late but its 40 oz
Step-by-step explanation:
Without drawing the graphs, find the points of intersection of the lines:
11x–6y=2 and –8x+5y=3
PLZZZZZZZ HELP!
The point of intersection of the lines given by the equations [tex]\( 11x - 6y = 2 \) and \( -8x + 5y = 3 \) is \( (4, 7) \).[/tex]
To find the points of intersection of the given lines, we need to solve the system of linear equations simultaneously.
The given equations are:
[tex]\[ 11x - 6y = 2 \quad \text{(Equation 1)} \][/tex]
[tex]\[ -8x + 5y = 3 \quad \text{(Equation 2)} \][/tex]
We can solve this system using the method of substitution or elimination. Let's use the elimination method to find the values of [tex]\( x \)[/tex]and [tex]\( y \).[/tex]
First, we will make the coefficients of [tex]\( y \)[/tex] the same in both equations by multiplying Equation 1 by 5 and Equation 2 by 6:
[tex]\[ 5(11x - 6y) = 5(2) \][/tex]
[tex]\[ 6(-8x + 5y) = 6(3) \][/tex]
This gives us:
[tex]\[ 55x - 30y = 10 \quad \text{(Equation 3)} \][/tex]
[tex]\[ -48x + 30y = 18 \quad \text{(Equation 4)} \][/tex]
Now, we add Equation 3 and Equation 4 to eliminate [tex]\( y \):[/tex]
[tex]\[ (55x - 30y) + (-48x + 30y) = 10 + 18 \][/tex]
[tex]\[ 7x = 28 \][/tex]
Dividing both sides by 7, we get:
[tex]\[ x = 4 \][/tex]
Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either Equation 1 or Equation 2 to find the value of [tex]\( y \)[/tex]. Let's use Equation 1:
[tex]\[ 11(4) - 6y = 2 \][/tex]
[tex]\[ 44 - 6y = 2 \][/tex]
Subtracting 44 from both sides, we get:
[tex]\[ -6y = -42 \][/tex] Dividing both sides by -6, we get:
[tex]\[ y = 7 \][/tex].
Write the numbers in order from greatest to least.
-2, 1 1⁄2, -2 3⁄4, 3⁄10
Answer:
11/2, 3/10 , -2, -2 3/4
Step-by-step explanation:
negatives are definitely on the least side. And 11/2 is 5 1/2 which is way greater 3/10. -2 3/4 means it is 3/4 more away from 0 than -2 is. So here!
The order from greatest to least is:
1 1/2 3/10 -2 -2 3/4-2: This is a negative number, which means it is less than zero.
1 1/2 (or 1.5): A positive number greater than zero.
-2 3/4 (or -2.75): This is also a negative number and is less than -2.
3/10 (or 0.3): This is another positive number, but less than 1.
Negative numbers always rank lower than positive numbers.
Among the negative numbers, -2 is greater than -2.75.
Comparing the positive numbers:
1.5 is greater than 0.3.
If john had 9 apples and pickles gave him ten more how much apples does John have?
(9+10)
Answer:
21
but if ur serius then 19
Step-by-step explanation:
Answer:
19 Apples
Step-by-step explanation:
If john originally had 9 apples and then added ten more to his pile, then John would have 19 apples in all.
A pole 6m high has a shadow 10 m long when the shadow of a nearby building is 220 m long. How tall is the building?
Which ratio is equal to the ratio of the height of the building to its shadow?
By using the similar triangles principle, the height of the building is found to be 132 meters. We find this by setting up a proportion between the known ratios of the pole's height to its shadow and solving for the building's height.
Explanation:We can solve the problem using similar triangles. The ratio of the height of the pole to its shadow is the same as the ratio of the height of the building to its shadow. Since the height of the pole is 6m and its shadow is 10m, we have the ratio of the height to the shadow for the pole as 6/10 or 3/5.
This ratio will be equal to the ratio of the height of the building (which we'll call h) to the shadow of the building (220 m), so we can write the proportion as:
3/5 = h/220
Now we solve for h:
3/220 = h/5
h = (3/5) × 220
h = (3 × 44)
h = 132m
So the height of the building is 132m.
Rewrite the radical expression as an expression with a rational exponent.
The answer choices are in the picture!
Answer:
first one is the right answer
Answer:
[tex] = {x}^{ \frac{5}{4} } [/tex]
Step-by-step explanation:
[tex] \sqrt[4]{ {5}^{5} } \\ {5}^{(5) \times \frac{1}{4} } \\ = {5}^{ \frac{5}{4} } [/tex]
Does a dilation produce a congruent figure
After dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.
Recall:
When two figures are congruent, it means they have the same shape and size, whereby, all pairs of corresponding angles and sides of both figures are congruent or equal in measure.The image attached below shows a dilated figure.Dilation is a transformation that enlarges a figure or reduces the figure.
After dilation, the new figure maintains the same shape of the original figure.
However, after dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.
Learn more here:
https://brainly.com/question/14706073
The explicit formula for the geometric sequence -1/9, 1/3, -1, 3, -9, ... is -1/9(-3)^x-1 . What is the common ratio and recursive formula for this sequence
Answer:
r=3[tex]\left\{\begin{array}{ccc}a_1=-\frac{1}{9}\\a_n=-3a_{n-1}\end{array}\right[/tex]Step-by-step explanation:
Given the sequence
[tex]-1/9, 1/3, -1, 3, -9, ...[/tex]
The common ratio is determined by the division of term by the previous term.
Common Ratio, [tex]r=\frac{1/3}{-1/9} =\frac{-1}{1/3} =\frac{3}{-1}=-3[/tex]
A recursive formula is a formula that defines each term of a sequence using preceding term(s).
For the given sequence, the recursive formula is:
[tex]\left\{\begin{array}{ccc}a_1=-\frac{1}{9}\\a_n=-3a_{n-1}\end{array}\right[/tex]
Answer:
−3; f(x + 1) = −3(f(x))
The answer is B.
Step-by-step explanation:
Raj paints 10 3/7 feet of his fence on Friday and 15 1/3 feet of his fence on Saturday.
How many feet of his fence did Raj paint on both days?
Answer: 25 16/21 feet
Step-by-step explanation:
10 3/7 + 15 1/3 = 25 16/21