Answer:
x ≈ 10.7 ft.
Step-by-step explanation:
Given triangle in the picture is a right triangle.
By applying Pythagoras Theorem in this triangle.
(Hypotenuse)² = (Leg 1)² + (Leg2)²
(14)² = x² + 9²
x² = (14)² - 9²
[tex]x=\sqrt{196-81}[/tex]
[tex]x=\sqrt{115}[/tex]
x = 10.72
x ≈ 10.7 ft.
Convert 121
5
to mixed fraction.
Answer:
24 1/5
Step-by-step explanation:
I'm not sure if u meant 121/5 but I converted it and it's 24 as a whole number and 1/5 for the fraction
24 1/5
Match the missing angle measurement to the diagram
Need help with this;
Answer:
See belowStep-by-step explanation:
Deposit amount P = $4200Interest rate r = 3 1/2% = 3.5% = 0.035 PA compounded semiannuallyCompound n = 2 per yearCalculations as per following questions
a. I = $4200*(0.035/2) = $73.5b. A = $4200 + $73.5 = $4273.5c. I = $4273.5*(0.035/2) = $74.79d. A = $4273.5 + $74.79 = $4348.29e. I = $4348.29 - $4200 = $148.29f. I = $4200*0.035 = $1478.94427191 rounded to the neareast 10th
Answer:
8.9
Step-by-step explanation:
Answer:
the answer will be 8.9 if im not wrong
A number q divided by 5 is 8
Answer:
q = 40
Step-by-step explanation:
[tex]\frac{q}{5} = 8[/tex]
multiply 5 on boths sides:
[tex]\frac{q}{5} x 5 = 8 x 5[/tex]
q = 40
to check:
[tex]\frac{40}{5}[/tex] = 8
Answer:
q = 40
Step-by-step explanation:
5,10,15,20,25,30,35,40
1 2 3 4 5 6 7 8
Anil scored 30 runs in the first innings of a test match. His score changed by +30 runs in the second innings. What was his score in the second innings?
Answer:
60 runs
Step-by-step explanation:
Given that:
Score in first innings = 30 runs
Change in score during second inning = + 30
The score in the second inning will be :
Score in first inning + change in score during second inning
30 + (+30)
30 + 30
= 60 runs
At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to determine the percent, p, of the ice cream that is chocolate?
Answer:
62.5 %
Step-by-step explanation:
The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups = 25 + 15 = 40
So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
p = 25/40 × 100%
p = 25/4 × 10 %
p = 6.25 × 10 %
p = 62.5 %
Ika nilai rata-rata 20 orang murid adalah 7,5. Kemudian, seorang murid menyusul ulangan dan mendapatkan nilai 8. Berapa nilai rata-rata sekarang?
Answer:
Average grade now = 7.524
Step-by-step explanation:
Given - If the average score of the 20 students is 7.5. Then a student follows the test and gets a grade of 8.
To find - What is your average grade now?
Proof -
Given that,
Average score of 20 students = 7.5
So,
Total value of students = 20 × 7.5 = 150
Now,
Given that, One person added ang his grade is 8
So,
So Total value of 21 students = 150 + 8 = 158
Now,
Average score of 21 students = [tex]\frac{158}{21}[/tex] = 7.5238
∴ we get
Average grade now = 7.524
2) Find the median.
4,9, 1, 4, 6, 2, 3,1
A) 1 and 4
B) 3.5
C) 3.75
D) 8
pls help me show work
Answer:
3.5
Step-by-step explanation:
1-List the numbers from least to greatest
1, 1, 2, 3, 4, 4, 6, 9
2- Then cross off a number from each side unitl you ar with 3 and 4 in the middle.
3- Add 3+4 Together
7
4- Divide by two
3.5
Elizabeth invests $7567 in a savings account with a fixed annual interest rate of 5% compounded quarterly. What will the account balance be after 7 years?
Answer:
FV= $10,714.81
Step-by-step explanation:
Giving the following information:
Initial investment= $7,567
Number of periods= 7*4 = 28 quarters
Interest rate= 0.05/4= 0.0125
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 7,567*(1.0125^28)
FV= $10,714.81
For what values of t can 2x^2+tx+10 be written as the product of two binomials?
The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
What is binomial?A binomial expression is an expression that has two terms.
In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).
Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.
[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]
Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
Learn more about Binomial:
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If you deposit $6000 into an account paying 6% annual interest compounded
monthly, how long until there is $8000 in the account?
Answer:
It will take 4.4 years to gain $8000.
Step-by-step explanation:
Substitute the values in the formula.
A = P (1+r/n) nt 8000 = 6000 (1+0.06/12) 12t
Use BEDMAS (order of operations) and solve the value in the brackets.
8000 = 6000 (1.005) 12t
Divide both sides by 6000
1.3 = (1.005) 12t
Take the logarithm of both sides.
log (1.3) = log (1.005) 12t
Include the exponent in the equation.
log (1.3) = (12t) (log 1.005)
Divide both sides by log 1.005.
(log(1.3))/(log(1.005)) = 12t
Find out the log.
52.6039 = 12t
Divide both sides by 12.
4.4 = t
I'm attaching a word document where everything is organized.
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven?
Answer:
80%
Step-by-step explanation:
Percentage of the trip covered = [tex]\frac{miles driven }{total miles}[/tex] × 100
I am multiplying by 100 because to convert to percentage, we have to multiply by 100
Miles drive = 240
Total miles = 300
[tex]\frac{240}{300}[/tex] × 100 = 80%
Find the missing values in the ratio table. Then write equivalent ratios.
5:3 ?:12 10/3:? ?:5
Answer:
5 15 10/3 7
3 12 12/3 5
Step-by-step explanation:
The missing values in the ratio table will be;
Pies 5 20 10/3 25/3
Cakes 3 12 2 5
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio table is;
Pies 5 x 10/3 z
Cakes 3 12 y 5
Now,
Since, The ratios are equivalent to each other.
Thus, We can solve to find the value of x, y and z as;
⇒ 5 : 3 = x : 12
⇒ 5/3 = x/12
Multiply by 12;
⇒ 5 × 12 / 3 = x
⇒ 20 = x
And, 5 : 3 = 10/3 : y
⇒ 5/3 = 10/ (3× y)
⇒ 5/3 = 10/3y
Multiply by 3;
⇒ 5 = 10/y
⇒ y = 10/5
⇒ y = 2
And, 5 : 3 = z : 5
⇒ 5/3 = z/5
Multiply by 5;
⇒ 25/3 = z
⇒ z = 25/3
Therefore, The missing values in the ratio table will be;
Pies 5 20 10/3 25/3
Cakes 3 12 2 5
Learn more about the ratio visit:
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Find the perimeter of the rectangle in yards.
Find m Please let me know if you could help me, with any more questions. I’m struggling in geometry. I wanna get back to doing sports again!
9514 1404 393
Answer:
∠C = 48°
Step-by-step explanation:
The two triangles are congruent by ASA. (The common side BD is between the angles marked congruent.) This means angles A and C have the same measure.
Angle A plus the two given angles will total 180°.
∠A = 180° -70° -62° = 48°
∠A = ∠C = 48°
Answer:
c=48°
Step-by-step explanation:
...............
5.
Find the rate of change for the situation. You run 3 miles in one hour and 6 miles in two hours.
A. 3 miles
B. 3 miles per hour
C. 2 hours
D. 2 miles per hour
Answer:
c
Step-by-step explanation:
c
The momentum of a variable is represented by the rate of change. The rate of change for the situation is 3 miles per hour.
What is the rate of change?The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.
Given the distance covered in one hour is 3 miles, while the distance covered in 2 hours is 6 miles. In the given case, the rate of change for the situation, therefore,
Rate of change = (6miles-3miles)/(2hours-1hour) = 3miles/hour.
Hence, the rate of change for the situation is 3 miles per hour.
Learn more about Rate of Change:
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Last week, Thomas ran 5 1/4 miles. This week, he planes to run 1/2 as far as he ran last week. How many miles does Thomas plan to run this week?
Answer:
2.625
Step-by-step explanation:
Last week Thomas ran 5 1/4 miles
This week he plans to run 1/2 miles as far
Therefore the number of miles he plans to run cann be calculated as follows
= 5 1/4 × 1/2
= 21/4 × 1/2
= 21/8
= 2.625
Hence Thomas plans to run 2.625 miles
Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.
What is the surface area of the jewelry box in square inches (sq. in)?
Length of rectangles = 7 in.
Breadth of 4 rectangles = 3 x 4
= 12 in.
Side of squares = 3 in.
Area of 4 rectangles = length x breadth
= 7 x 12
= 84 sq. in.
Area of two squares = 2(side x side)
= 2(3 x 3)
= 18 sq. in.
Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.
= 102 sq. in.
Find the measure of the missing angle
A-53
B-67
C-120
D-60
Answer:
D-60
Step-by-step explanation:
All angles in a triangle add up to 180
The answer to this question
Answer:
3 19/35
Step-by-step explanation:
2+1=3
1/7+2/5 will turn out to be 5/25+14/35 because of the common denominator of 35
5+14=19
3 19/35
5. Using the factor tree, What are the prime factors of 36
Answer:
Step-by-step explanation:
A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6. Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².
please help
-HA
-LL
-HL
-LA
Answer:
Ha
Step-by-step explanation:
A plot of land is 3/8 mile by 2 1/4 miles. Spencer solves 3/8•2 1/4 to find the area of the land in square miles. Enter numbers to complete Spencer’s calculations for the area.
9514 1404 393
Answer:
23227Step-by-step explanation:
The number 2 1/4 is split into the sum 2 + 1/4, then multiplied by 3/8. This gives ...
[tex]\displaystyle\frac{3}{8}\cdot2\frac{1}{4}=\left(\frac{3}{8}\cdot\boxed{2}\right)+\left(\frac{3}{8}\cdot\frac{1}{4}\right)\\\\=\frac{6}{8}+\frac{3}{\boxed{32}}=\frac{24}{32}+\frac{3}{32}=\frac{24+3}{32}\\\\=\frac{\boxed{27}}{32}[/tex]
_____
Of course, fractions are multiplied in the usual way:
[tex]\dfrac{a}{b}\cdot\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]
can someone answer pls :(
i need help it’s already missing i’ll give brainlist and points
Answer:
download mathaway and put the equations in it and press graph
Answer:
Step-by-step explanation:
To graph the lines you only need to connect two points and extend the line in either direction as far as you wish.
The first line is y=x-1
We get two points by subbing in any two values of x
y(0)=0-1=-1 and y(1)=1-1=0
So you just connect (0,-1) and (1,0)
The second line is y=-x/3+3 and we can do the same thing
y(0)=-0/3+3=3 and y(3)=-3/3+3=2
So you connect (0,3) and (3,2)
A bank's electronic management system lacks the ability to protect a client's confidential information. To what type of risk does this expose the client?
market risk
security risk
operational risk
credit risk
Area of composite shapes!!
Find the area
Its geometry
Due Tomorrow
Plz HURRY
Offering brainliest
Answer:
8/2=4
4*6=24
10*8=80
80+24=104
104
If the radius
of the small
bubble is 2.6 cm,
what is its
volume, in cm3?
Answer:
73.6
Step-by-step explanation:
Answer:
73.6
Step-by-step explanation:
solve
PLEASE HELP ME NOW!!!! 100 POINTS!!!
Decorative glass balls are being stored in a box. Each ball has a radius of 2 1/3 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
7 balls
12 balls
48 balls
Answer: 12 balls i think
Answer:
answer is 12
Step-by-step explanation:
i took the quiz.
ill mark brainlist plss help
Answer:
5.86
Step-by-step explanation:
1 gram = 100 centigrams