Answer:
13a) $3.40
13b) 0.85X
13c) $25.88
Step-by-step explanation:
13a) When there is a 15% discount, we can say that we are only paying 85% of the original price because out of 100%, 15% is taken away. 85% in decimals is 85/100 = 0.85.
$4 x 0.85 is the discounted price, which is $3.40
13b) In 13a, the price was 4. Now, the price is X. Hence we plug in (substitute) X in for 4, giving us X x 0.85, which we can write as 0.85X
13c) 85% of the cake is $22. To find 100% of the price, we can find 1% of the original price and then multiply that by 100, which gives us 100% of the price.
We know 85% of the original price. Therefore, dividng the price by 85 will give us 1% of the price. 1% = $22/85
Finally, to calculate 100%, we multiply by 100.
22/88 x 100 = 440/17 which is 25.882 in decimals, which we round to 2 decimal places (because it is currency) = $25.88
In the coordinate plane below, quadrilateral PQRS is reflected over the x-axis. Which segment is segment QR congruent to?
Answer:
Q'R'
Step-by-step explanation:
Given
Quadrilateral PQRS
Reflected over x-axis
Required
Congruent side to QR
This question has a missing attachment, but can still be solved without the attachment.
When a shape is reflected, the sides and the angles of the shape remain unchanged.
This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.
[tex]PQ = P'Q'[/tex]
[tex]QR = Q'R'[/tex]
[tex]RS = R'S'[/tex]
[tex]SP = S'P'[/tex]
Hence, QR will be congruent to Q'R'
SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence
Answer:
Self esteem hope this helps
1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
* Will be remarked as Brainliest*
Answer:
60%
Step-by-step explanation:
Possible numebrs that can be picked are 1,2,3,4,5
The only odd numbers are 1,3,5
3 odd numbers out of 5 possible numbers
3/5=0.6=60%
What’s the area of the polygon?
Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
Separate it into 2 parts:
The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.
7 x 6 = 42 in^2
The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.
11 x 6 = 66 in^2
Total:
66 + 42 = 108 in^2
Answer:
108 [tex]in ^2[/tex]
Step-by-step explanation:
This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).
Starting with the top-right rectangle:
We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:
[tex]l=12-6=6[/tex] in
Now that we know l and h, we can evaluate the area of the first rectangle, which is
[tex]A= 6 *4= 24[/tex] in^2
Now for the bottom rectangle:
We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:
[tex]A=12*7=84[/tex] in^2
Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,
[tex]A=24+84=108[/tex] in^2
QED
A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50
PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?
There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.
Answer:
the answer is
Step-by-step explanation:
There are more students in biology than students in geometry.
The following statements does not support the given venn diagram:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
What are Venn diagrams?
The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.
In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.
Solution:
If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:17₊ 22 ₊8 = 47
The result of the addition operation is not equal to the number of students, hence it does not support to the statement.
If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:17 ₊ 22 = 39
The result of the addition operation is equal to the number of students, hence it supports the statement.
If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:17 ₊ 8 = 25 and 8 ₊ 22 = 30
where, 25 < 30
Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.
If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:22 ₊ 8 = 30
30 > 17
Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.
So the following statements does not support the venn diagram given:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
Learn more about "Venn diagrams" here-
brainly.com/question/2099071
#SPJ2
Kathy dropped a snowball from a building that is 39.2 meters tall. The equation t2 = 39.29.8 represents the amount of time, in seconds, it takes for the snowball to reach the ground. How long did it take the snowball to reach the ground?
Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
Answer:
2 seconds
Explanation:
I had to do this assignment that's the correct answer
I need help I don’t understand
Answer:
x = 9
Step-by-step explanation:
By the property of intersecting secants:
[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]
What is 2/5 divided by 4
the answer to the question is 0.1
Answer:
1/10 or 0.1
Step-by-step explanation:
You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.
Help me find the answer
Tan 0 and Cot O
Answer:
Step-by-step explanation:
we can say the angle is also +45° going in the clock wise direction. so take Tan(45)= 1
Cot(45) = 1
b/c Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2) ofc that's just 1
b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1
Is this correct please help
how to do this question
9514 1404 393
Answer:
7 days
Step-by-step explanation:
(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.
n=2
1.8 = A₀·b²
n=3
2.4 = A₀·b³
Dividing the second equation by the first gives ...
2.4/1.8 = (A₀·b³)/(A₀·b²) = b
4/3 = b
__
(b) Substituting this into the first equation, we can find A₀.
1.8 = A₀·(4/3)²
1.8(9/16) = A₀ = 1.0125
A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.
__
(c) The area will be 7 cm when ...
1.0125·(4/3)^n = 7
(4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀
n·log(4/3) = log(7/1.0125) . . . . . . take logarithms
n = log(7/1.0125)/log(4/3) ≈ 6.72092
It will take about 7 days for the area of the patch to exceed 7 cm.
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
Answer is option B.
[tex] \frac{ - 1}{ 25 } [/tex]
Explanation:
5 to the power -2 can be written as
[tex] {( {5}^{2})}^{ - 1} [/tex]
which will be
[tex] {25}^{ - 1} [/tex]
which will be
[tex] \frac{ - 1}{ 25 } [/tex]
A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?
Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
si
Step-by-ste
10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.
carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in february that carlos walked to school?
Answer:
14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70
Step-by-step explanation:
State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule
Answer:
c) similar by the AA rule
The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?
Answer:
The question has a picture attached of both rectangular prisms which I have attached and solved.
Answer: 1320 cm³
Step-by-step explanation:
top prism = 5×12×10=600
lower prism = 15×12×(15-10) = 720
Adding both volumes
720 + 600 = 1320 cm³
1/5, 0.25, 20.5%, 4/25, 0.22
Answer 22%
Step-by-step explanation:
Answer:
so I guess I have to put those numbers in a order.
smallest to largest:
4/25, 1/5, 20.5%, 0.22, 0.25
largest to smallest:
0.25, 0.22, 20.5%, 1/5, 4/25
Step-by-step explanation:
1/5 = 0.2
20.5% = 0.205
4/25 = 0.16
Have a nice day!
Please help due soon!!
Answer: [(3/4)π] in² or (0.75π) in²
Step-by-step explanation:
Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)
--------------------------------------------------------------
Given
r=3 in
θ=30°
Solve
A=πr²(θ/360)
A=π(3)²(30/360)
A=9π(1/12)
A=[(3/4)π] in²
A=(0.75π) in²
Hope this helps!! :)
Please let me know if you have any questions
SOMEONE PLEASE HELP MEEE!!!
Answer: 1080
Step-by-step explanation:
Heres why:
SA is L*W*H as the same formula as volume.
Tell me which lines to which plz
Answer:
cereal bowl- 2 cups
baby food jar- 4 fluid ounces
soda can- 12 fluid ounces
swimming pool- 1000 gallons
large can of paint- 1 gallon
Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!
Answer:
2x=80°
x=40°
40°+20°=60°
Step-by-step explanation:
all triangles are 180°
Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?
Answer:
Total Money= $250
Fence Price=$22.50/m
Metres can buy= $250/22.50= 11.11 metres
hi i need help with this question asap ty ty ty!!!
How can you determine the part of an hour that is 15 minutes?
Answer:
You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.
Step-by-step explanation:
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?
Answer:
$160.14
Step-by-step explanation:
15% of 174.45 = 26.16
174.45 - 26.16 = 148.28
8% of 148.28 = 11.86
148.28 + 11.86 = 160.14
Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
If the area of a circle is 78.5 cm2, what is the circumference of the circle? Use 3.14 for
Answer:
25
Step-by-step explanation:
you might wanna use a calculator
PLEASE HELP FAST!!!!!!!!!
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.