9514 1404 393
Answer:
x = 15
Step-by-step explanation:
In this geometry, x is the geometric mean of the segment lengths of the hypotenuse.
x = √(9×25)
x = 15
Show all the steps to solve the following
942.6 - 19.734
Answer:
922.868
Step-by-step explanation:
1. Thousandth place of 942.6002. Subtracting[tex]942.600-19.732=922.868[/tex]
At a local university the students have been overdosing on caffeine to help them study for exams. However, many students have been getting quite sick from taking too much coffee and cola.
A. How many cups of coffee would be too much and at the dangerous level (3.00 g)? You know that coffee contains 21.5 mg caffeince per ounce and a cup is 8 oz.
B. How many cans of cola would be too much and at the dangerous level? You know that cola contains 4.20 mg per ounce and a soft drink can contain 12.0 oz.
Answer:
A) Hence, the number of coffee cups that are risky = 17.4 Cups.
B) Here, the number of coffee cups that are risky = 59.5 Colas.
Step-by-step explanation:
A)
In 1 cup coffee =[tex]8\times21.5mg= 172.0 mg[/tex]
Hence one cup of coffee contains 172 mg of caffeine. The risky level is 3000mg.
Therefore, the number of coffee cups that are risky
[tex]= 3000/172\\ \\=17.4 cups[/tex]
Here, the number of coffee cups that are risky = 17.4 cups.
B)
[tex]1 cola=12\times4.2mg\\\\ = 50.4mg / day[/tex]
Hence, one can cola contains 50.4 mg of caffeine.
The dangerous level is 3000 mg.
Therefore, the number of cola cans that are risky [tex]=3000/50.4= 59.5[/tex] cola is risky.
Keisha borrowed $400 from a bank for 5 years and was charged simple interest. The total interest that she paid on the loan was $120. As a percentage, what was the annual interest rate of her loan?
Answer:
6%
Step-by-step explanation:
Answer:
you need to divide 120 by 5
Step-by-step explanation:
the percentage is 16.6 and it goes on that is for 1 year
A regular polygon has each interior angle is 156°, what is the number of sides of the polygon? A. 14 C. 16 B. 15 D. 17
Answer:
option B is correct
interior angle of given polygon =156
exterior angle of polygon=180 - 156 =24
as we know that sum of exterior angle of any polygon is 360 degree
so number of sides of regular polygon=360/24=15
Answer:
option B. 15
Step-by-step explanation:
Sum of interior angles of a polygon with n sides = ( n - 2 ) x 180°
Therefore each interior angle,
[tex]\frac{n - 2}{n} \times 180^\circ[/tex]
Given the interior angles = 156°
That is ,
[tex](\frac{n-2}{n}) \times 180 = 156\\\\\frac{n-2}{n} = \frac{156}{180}\\\\1- \frac{2}{n} = \frac{156}{180}\\\\1 - \frac{156}{180} = \frac{2}{n}\\\\\frac{180-156}{180} = \frac{2}{n}\\\\\frac{24}{180} = \frac{2}{n}\\\\24 \times n = 2 \times 180\\\\n = \frac{2 \times 180}{24} =\frac{180}{12} = 15[/tex]
Explain relationship between ≠2 and the factor x – 2.
Answer:
It has a difference of x=2 of -4
Step-by-step explanation:
It has a difference of x=2 of -4
What is factor ?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.Given ,
x ≠ 2 ,
x - 2 =0
So, we put x = -2 because in question x ≠ 2 .
Then, x - 2 = 0
-2 -2 = 0
- 4 =0
Therefore, it has a difference of x= -2 of -4.
Learn more about factor brainly.com/question/19426180
#SPJ2
7. Calculate the Perimeter AND Area of triangle
ABC
B
24 m
40 m
14 m
А
с
20 m
37 m
9514 1404 393
Answer:
perimeter: 121 marea: 399 m²Step-by-step explanation:
The perimeter is the sum of the side lengths. Here, the bottom side is broken into two parts, so that side length is the sum of the parts. The area is given by the formula for the area of a triangle.
perimeter = 24 m +40 m + 37 m + 20 m = 121 m
area = 1/2bh = 1/2(20 m +37 m)(14 m) = 399 m²
What is the area of a parallelogram if the length is 4+ x and it's height is x+3
Answer:
[tex]x^{2}[/tex] + 7x + 12
Step-by-step explanation:
The area of a parallelogram is A = bh, where the base is the length.
To solve this, you have to multiply 4 + x and x + 3.
(4 + x)(x + 3)
If you factor this more, it should be equal to:
[tex]x^{2}[/tex] + 3x + 4x + 12.
This simplified is equal to:
[tex]x^{2}[/tex] + 7x + 12.
Private nonprofit four-year colleges charge, on average, $26,208 per year in tuition and fees. The standard deviation is $7,040. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
26208
Correct,
7040
Correct)
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 22,924 per year.
c. Find the 60th percentile for this distribution. $
(Round to the nearest dollar.)
Answer:
#########
Step-by-step explanation:
Find m angle RQH if m angle HQP=95^ and m angle RQP=152^
Answer:
[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
[tex] \large{ \tt{✽ \: m \: \angle \: RQP = m \: \angle \: RQH + m \: \angle \: HQP}}[/tex]
[tex] \large{ \tt{⇾ \: 152 \degree = \: m \: \angle \: \: RQH + 95 \degree}}[/tex]
[tex] \large{ \tt{⇾ \: 152 \degree - 95 \degree = m \: \angle \: RQH}}[/tex]
[tex] \boxed{ \large{ \tt{⇾ \: 57 \degree = m \: \angle \: RQH}}}[/tex]
Our final answer : 57° . Hope I helped! Let me know if you have any questions regarding my answer! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
Answer:
AAS
Step-by-step explanation:
It will be angle angle side because you are given a side and two angles, and when you put them in the correct order, you will get AAS, or SAA (not the correct way to say it)
Need help on the last problem
no. of right answers = 60
no. of wrong answers = 40
PLEASE HELPPP ASAP!!! I tried all sorts of equations but no correct answer! Not sure how to approach this problem.
Answer:
[tex]44[/tex]
Step-by-step explanation:
The dimensions of the garden is 12 by 8. If we have a walkway that surrounds the garden, the dimensions of the walkway is 2. Since it surrounds the rectangle all sides add 2 to each of the dimensions so now the dimensions of the garden and walkway is 14×10.
The area of the garden is 96 square ft.
The area of the garden and walkway is 140 so let subtract the area of the garden from the total area of both the garden and walkway.
[tex]140 - 96 = 44[/tex]
The area is 44.
Answer:
120 square feet
Step-by-step explanation:
(8+2*2)
(18+2*2) - 8*18 = 120 square feet.
$2900 at 13% for 30 years. i need simple interest and compounding interest
Answer:
Step-by-step explanation:
simple:
2900(1+.13*30)=14210
Compounding
[tex]2900(1+.13)^{30}=113436.1041[/tex]
Answer:
113436.1041
Step-by-step explanation:
2900 ( 1 +0.13 ) ^ 30
Formula : amount ( 1 + percentage ) ^ years
At one point in history, the NBA finals required that one of the two teams win at least three of five games in order to win the Championship. If one team wins the first two games, what is the probability that the same team wins the Championship, assuming that the two teams are well matched and each team is equally likely to win each game
Answer:
50% i believe
Step-by-step explanation:
because in every scenario theres 2 teams and if they are well matched it be half and half on every game assuming they're the same level of comp
How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
Answer:
The fabric needs 196.4 ft²
Step-by-step explanation:
∵ The tent formed formed from 4 faces
two equilateral triangles with side length 7 ft
two rectangles with dimensions 11 ft and 7 ft
∵ Area equilateral Δ = 1/4 S²√3
∵ Area rectangle = L × W
∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11
= 196.4 ft²
Note:
If you find the area of the triangle by the rule 1/2 × base × height
∴ Area Δ = 1/2 × (7) × 6 = 21 ft²
∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²
Two answer very closed
Answer:
273 ft^2 (apparently you have to cover the ground)
Step-by-step explanation:
Identifying Possible Triangles
From which set of dimensions could a triangle be constructed?
side length of 8
side length of 5
side length of 14
O side length of 7
side length of 8
side length of 15
side length of 2
side length of 6
side length of 7
side length of 6
side length of 3
side length of 10 can somebody answer this quickly pls
Answer:
3rd triangle can be constructed with dimensions 2,6,7.
Step-by-step explanation:
sum of any two sides > third side.
difference of any two sides < third side
1.
8+5=13 not >14 (no triangle.)
2.
7+8=15 not >15 (no triangle)
3.
2+6=8>7
2+7=9>6
7+6=13>2
7-2=5<6
7-6=1<2
6-2=4<7
so it is a triangle.
4.
6+3=9 not >10 (not a triangle)
Helppp me with this ,I will mark brainlest
If a line is equation 5 x + 6 Y is equal to 2 k together with the coronavirus access from a triangle of area 135 square unit.find the value of k.
Answer:
hdhdkdbddkdgsjshzcssjsn
For P = {5, 12, 13, 14), Q = {2, 7, 11), and R = {4, 7, 8, 11}, find PU (Q n R).
Answer:
(5 7 11 12 13 14)
Step-by-step explanation:
Q inter R = 7 and 11
So the union between p and 7 and 11 is the answer above
5. Lisa has a cubed-shaped box with a
volume of 512 cm. If Lisa fills the box
with 1-cubic centimeter blocks, how
many blocks make up each layer?
Answer:
64
Step-by-step explanation:
[tex]\sqrt[3]{512} = 8\\8x8 = 64[/tex]
I need help. What’s the answer and how do you do this?
Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of The Thomas Supply Company Inc. invoices.
13 13 13 20 26 29 32 33 34 34 35 35 36 37 38
41 41 41 45 46 47 47 48 52 54 55 56 62 67 82
(Round your answers to 2 decimal places.)
a. Determine the first and third quartiles.
Q1 =
Q3 =
b. Determine the second decile and the eighth decile.
D2 =
D8 =
c. Determine the 67th per
Answer:
Q1 = 32.5
Q3 = 50
D2 = 29
D8 = 52
67th percentile = 46.5
Step-by-step explanation:
Given the ordered data:
13, 13, 13, 20, 26, 29, 32, 33, 34, 34, 35, 35, 36, 37, 38, 41, 41, 41, 45, 46, 47, 47, 48, 52, 54, 55, 56, 62, 67, 82
The first quartile :
Q1 = 1/4(n+1)th term
n = sample size = 30
Q1 = 1/4(31) = 7.75 = (7th + 8th) / 2 = (32+33) / 2 = 32.5
Q3 = 3/4(n+1)th term
n = sample size = 30
Q3 = 3/4(31) = 23.25 = (23rd + 24th) / 2 = (48+52) / 2 = 50
D2 = 2nd decile
2 * 10% = 20%
20% * n
0.2 * 30 = 6th = 29
D8 = 8th decile
8 * 10% = 80%
80% * 30 = 24th = 52
67th percentile :
0.67 * 30 = 20.1 th
(20th + 21th) / 2
(46 + 47) / 2
= 46.5
2) There are 40 boys and 60 girls in a class of students. What is the ratio of girls to students
Answer:
60:100, 6/10, 3/5, 6 to 10, etc.
Step-by-step explanation:
You take the number of girls over total students which is boys + girls. Since there's 40 boys and 60 girls, it's 60 girls to 100 students which can be written in several ways.
Answer:
60:100 / 3:5
Step-by-step explanation:
You first add the total number of students which is (40boys + 60girls) which gives us 100 students.
Then arrange the ratio of girls to students as per the question that is 60:100, reduce it to its lowest term that is dividing the ratio by 20, and finally got 3:5
Which angle is complementary to angle CFD ?
Answer:
∠DFE
Step-by-step explanation:
Complementary angles are angles that have a sum of 90°. Since there is a box on angle ∠CFB, we can infer that ∠CFE is also 90°. This is because the two are supplementary (equal 180°). Therefore, ∠DFE is the other part of ∠CFD that would complete the 90° pair.
Adriana’s z-score on a given measure is -2.5, where the population mean is 5 and the standard deviation is 1.5. What is Adriana’s raw score?
Answer:
Kendriya z-score keva product
Using law of sines please show process and answer
Hello,
[tex]\widehat{A}=180^o-24.4^o-103.6^o=52^o\\\\\dfrac{sin(24.4^o)}{37.3} =\dfrac{sin(103.6^o)}{c} \\\\\\c=87.760246\approx{87.8}\\\\\\\dfrac{sin(52^o)}{a} =\dfrac{sin(24.4^o)}{37.3} \\\\\\a=71.1510189...\approx{71.2}\\[/tex]
What is the y-intercept of the graph of y = 2.5x? a. 2.5 c. 0 b. 1 d. -1
Answer:
answer is C
Step-by-step explanation:
General equation of a line is expressed as shown:
y = mx+c where;
m is the slope or gradient of the line
c is the intercept of the line
Given the equation of the line graph as y =2.5x
Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)
Based on the explanation, the y-intercept of the graph is therefore 0
Answer:
B
Step-by-step explanation:
To find the x-intercept, substitute in
0 for y and solve for x
To find the y-intercept, substitute in 0 for x and solve for y
x-intercept(s): None
y-intercept(s): (0,1)
PLEASE HELP: A standard six-sided die is rolled.
What is the probability of rolling a number greater than 4? Express your answer as a simplified fraction or a decimal rounded to four decimal
places.
Answer in fraction form is 1/3
Answer in decimal form is 0.3333
Pick one answer only.
==========================================================
Explanation:
The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6
S = sample space
S = {1,2,3,4,5,6}
There are 6 items here. Let B = 6.
We want to roll a number greater than 4, so the event space we're after is
E = {5,6}
which consists of 2 items. Let A = 2.
The probability we want is A/B = 2/6 = 1/3 = 0.3333
So if you go with the fraction option, then you'll type in 1/3
If you go with the decimal option, then you'll type in 0.3333
circle A has a center of (2,3) and a radius of 5 and circle B has a center of (1,4) and a radius of 10. What steps will help show that circle A is similar to circle B
Answer:
12
Step-by-step explanation:
what is the product of ten and the sum of two and a number is five times the number