Answer:
angle HMS = 62 degrees
x = 13 degrees
AT = 28
Step-by-step explanation:
angle SHM and angle HMS are both inside the triangle SMH.
We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.
Angle SHM = 28 (given)
Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)
Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)
x + 90 + 28 = 180
x = 62 ddegrees
HMS is 62 degrees
TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.
10x - 40 = 90
10x = 130
x = 13 degrees
AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other. HT is congruent to AT while HM is congruent to AM.
So,
8x - 4 = 2x + 20
Subtraact 2 x from both sides
6x - 4 = 20
Add 4 to both sides
6x = 24
Divide 6 on both sides.
x = 4
Plug x back to AT.
AT = 2(4) + 20 = 28
i neeeeedddddd helppppppp
For his new room, Darien's grandmother gave him a handmade quilt. The quilt is made up of 16 squares set in 4 rows of 4. The area of each square is 324 in? What are the dimensions of the quilt in inches?
Answer:
5184 sq ins.
Step-by-step explanation:
There are 16 squares each of area 324,
so total area of the quilt = 324 * 16
= 5184 in^2.
help me pleaseeeeeeeeee
Answer:
2x - y = - 13
Step-by-step explanation:
y - 5 = 2(x + 4) ← distribute parenthesis by 2
y - 5 = 2x + 8 ( add 5 to both sides )
y = 2x + 13 ( subtract 2x from both sides )
- 2x + y = 13 ( multiply through by - 1 )
2x - y = - 13
Please Help! I'll give a lot of points!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.
This is a TWO part question, make sure to answer both part A. and B.
A. Find the amount of interest. Show the math computation use to find the amount of interest.
B. What was the monthly payment? Show the work used to find this answer.
Answer:
A. Interest = $1710
B. Monthly payment = $467.08
Step-by-step explanation:
Simple interest formula:
[tex]\sf A = P(1+rt)[/tex]
where:
A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)Given:
P = $9,500r = 9% = 0.09t = 2 yearsSubstitute given information into the formula:
[tex]\begin{aligned} \sf \implies A & = \sf 9500(1+0.09 \cdot 2)\\& = \sf 11210 \end{aligned}[/tex]
Interest = final amount - principal
= 11210 - 9500
= $1710
term = 2 years
1 year = 12 months
⇒ term = 2 × 12 = 24 months
Monthly payment = final amount ÷ months in term
= 11210 ÷ 24
= $467.08
So
[tex]\\ \rm\rightarrowtail I=\dfrac{PRT}{100}[/tex]
[tex]\\ \rm\rightarrowtail I=\dfrac{9500(2)(9)}{100}[/tex]
[tex]\\ \rm\rightarrowtail I=95(18)[/tex]
[tex]\\ \rm\rightarrowtail I=\$ 1710[/tex]
#B
Total months=24
Monthly payment:-
Principle+Interest/months9500+1710/2411210/24467.08≈467$please, any help would be more than great!
3(a-4) ≥ 4 (a+5)
Hello there!
In order to solve this inequality, we should first use the distributive property:-
3(a-4)≥4(a+5)
3a-12≥4a+20
Now, add 12 to both sides:-
3a≥4a+32
Subtract 4a from both sides:-
3a-4a≥32
-a≥32
Divide both sides by -1:-
a≤-32
The inequality sign changed because we divided both sides by a negative number.
[tex]\mathcal{NOTE:-}[/tex]
I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment or edit my answer. Good luck and have a great rest of your day! :)
Errin bought stock in XYZ Corporation for $100 per share. One month later the stock was up 10%. After another month the stock fell 10%. a. What was the price of the stock after the first month? b. What was the price of the stock after the second month?
Answer:
350 sum
Step-by-step explanation:
The cylinder below is a storage tank for heating fuel. Which is closest to the amount of fuel the tank can hold?
A.151 ft³
B.226 ft³
C.301 ft³
D.452 ft³
Option C) 301 ft³ is the correct answer.
Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.
This question is incomplete, the missing image is uplaoded along this answer.
VolumeVolume simply the amount of space enclosed within a container.
The volume of a cylinder can be expressed as;
V = πr²h
Where r is the radius of the base of the cylinder, h is its height and π is pi ( π = 3.14)
Given the data in the question;
Height of the cylinder h = 6ftRadius r = 4ftVolume of the cylinder V = ?To determine the closest to the amount of fuel the tank can hold, we substitute our given values into the expression above.
V = πr²h
V = 3.14 × (4ft)² × 6ft
V = 3.14 × 16ft² × 6ft
V = 301.44ft³
V = 301 ft³
Option C) 301 ft³ is the correct answer.
Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.
Learn more about volume of cylinder here: https://brainly.com/question/16788902
find the base of the triangle !
please hurry! Thank you!
Answer:
given
area of triangle = 48
height(h)=12
base(b) =‽
now,
area of triangle(a) =1/2 base×height
48=1/2 b×12
48=b×6
b=8
Help With this Math problem
Answer:
a) c = 11.2
b) c = 2
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
c = line across from the right angle
A glass jar has a height of 5 inches and a radius of 2. 5 inches. vanessa wants to fill the jar with beads that cost $0. 12 per cubic inch. how much will it cost for her to fill the jar?
Original price: ? Discount : 35% Sale price: $36
Answer:
$48.6
Step-by-step explanation:
35% x 36 = 12.6
36 + 12.6 = $48.6
What is it? pls help!
Answer: rational number
Step-by-step explanation: -2.33333 ...
Answer:
Classifications 1 & 2
Step-by-step explanation:
Real number: because It is located on the number line, belongs to negative numbers.
Rational number: because it is a fraction (quotient)
-7/3 it is not a integer number or whole number
Hope this helps
A classic car is completely repainted, taking 120 hours total to finish the job. Using an
8-hour workday, how many days did it take to do the job?
Answer:
15 days
Step-by-step explanation:
120÷8=15
Are you sure it's high school math?
I need it in 10 minutes. How do I get these it’s just confusing me
The surface area, the lateral area and the volume are, respectively:
S = 100 mi², L = 200 mi², V = 500 mi³S ≈ 201.062 cm², L ≈ 508.938 cm², V ≈ 1809.558 cm³S = 139.5 km², L = 180 km², V = 558 km³S = 6 km², L = 108 km², V = 54 km³How to determine the volume, the lateral area and the surface area of each solid
The volume is a measure of the space occupied by the solid, the lateral area is the measure of the area occupied by lateral faces of the solid and the surface area is the area occupied by the cross section of the solid. Please notice that the volume of each prism is equal to the product of the surface area and the height of the solid and the lateral area is the sum of the areas of the lateral faces.
In this exercise we must follow these steps to obtain the required results:
Calculate the surface area.Calculate the lateral area.Calculate the volume.Lastly, we proceed to make the corresponding calculations:
Surface area - Figure 1S = (10 mi)² = 100 mi²
Lateral area - Figure 1L = 4 · (10 mi) · (5 mi) = 200 mi²
Volume - Figure 1V = S · h = (100 mi²) · (5 mi) = 500 mi³
Surface area - Figure 2S = 0.25 π · (16 cm)² ≈ 201.062 cm²
Lateral area - Figure 2L = π · (18 cm) · (9 cm) ≈ 508.938 cm²
Volume - Figure 2V = S · h = (201.062 cm²) · (9 cm) ≈ 1809.558 cm³
Surface area - Figure 3S = 0.5 · (5) · (9 km) · (6.2 km) = 139.5 km²
Lateral area - Figure 3L = (5) · (4 km) · (9 km) = 180 km²
Volume - Figure 3V = S · h = (139.5 km²) · (4 km) = 558 km³
Surface area - Figure 4S = 0.5 · (3 km) · (4 km) = 6 km²
Lateral area - Figure 4L = (9 km) · (3 km) + (9 km) · (4 km) + (9 km) · (5 km) = 108 km²
Volume - Figure 4V = S · h = (6 km²) · (9 km) = 54 km³
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
If f(x) = 2x - 5, then f(4) is
017
03
04
05
Answer:
3
Step-by-step explanation:
f(x) = 2x-5 put in 4 for x
f(4) = 2(4) - 5 = 3
Find the perimeter of ΔABC and how you got it.
Answer:
[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]
Step-by-step explanation:
Given:
➳ AC || RP
➳ AC = 18 units
➳ AR = 14 units
➳ RB = 7 units
➳ CP = 10 units
To find:
perimeter of triangle ABC =?
Solution:
in ∆ABC and ∆RBP
since we know AC || RP,
then ∠ACP = ∠RPB
and ∠CAB = ∠PRB (Property of parallel lines)
and ∠B is a common angle in both traingles,
hence ∆ABC ~ ∆RBP from AAA property!
now,
using the properties of similar triangle,
[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]
To find perimeter of ∆ABC, add all the components.
Perimeter of ∆ABC = AR + RB + BP +PC + CA
Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units
[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]
Thanks for joining brainly community!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.
that is
[tex]\qquad \sf \dashrightarrow \:\angle BCA = \angle BPR[/tex]
[tex]\qquad \sf \dashrightarrow \:\angle BAC= \angle BRP [/tex]
[ They form pairs of corresponding angles ]
So, we can infer that :
[tex]\qquad \sf \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]
The Triangles are similar, by AA criteria ~
let's assume measure of BP = x
Now, let's use its result :
[tex] \qquad \sf \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]
[tex] \qquad \sf \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:3x={x + 10 }{}[/tex]
[tex] \qquad \sf \dashrightarrow \:3x - {x = 10 }{}[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 10[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \: \: units[/tex]
So, the required Sides of Triangle ABC are :
AB = 14 + 7 = 21 units AC = 18 units BC = 10 + 5 = 15 unitsTherefore, Perimeter = AB + BC + AC :
[tex]\qquad \sf \dashrightarrow \:21 + 18 + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:54 \: \: units[/tex]
Find the area of the shaded polygon
Answer:
372
Step-by-step explanation:
area of trapezium = a+b/2 * h
a is the length on top
b is the length on the bottom
h is the height
7+24/2*24=
=372
NEED HELP ASAP
In 1997, a restaurant chain had a profit of $45,000. In 2005, the company had a profit of $2,605,000.
Find the average rate of change of the chain's profit in dollars per year.
5 less than 8 in expression
Answer:
3
Step-by-step explanation:
If you deduct 5 from 8, you get the answer to 5 less than 8.
"5 less than 8" means we subtract 5 from 8:-
8-5
That's the expression :)
Simplify the expression:-
3
So if we have less than a number, we subtract that number.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
What us the diameter of a hemisphere with a volume of 5403ft³, to the nearest tenth of a foot?
Answer:
Volume of a sphere is 4/3πr^3
Determine r for the radius and multiply by 2 for diameter
The average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012. based on the data below, assuming that the projected hourly earnings are correct, is jason’s friend’s statement accurate? construction industry - average hourly earnings, 2000-2009 a line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009, where the x-axis shows years and the y-axis shows average hourly earnings of production workers. line starts at 17.2 on january 2000, slowly increases to 19.7 on january 2006, then increases more quickly to 20.5 on january 2007 and 22.4 on january 2009. a. his friend’s statement is accurate. the average hourly earnings will increase by 2%. b. his friend’s statement is not accurate. the percent increase will be more than 2% c. his friend’s statement is not accurate. the percent increase will be less than 2% d. his friend’s statement is not accurate. the average hourly earnings will decrease. please select the best answer from the choices provided a b c d
The statement his friend’s statement is not accurate. The percent increase will be more than 2% is correct.
We have the average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012.
What is the meaning of avarage?An average value is defined as the sum of all the values divided by the total number of values in a given data.
Therefore we get,have ion industry average hourly earnings, 2000-2009 a line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009,
where the x-axis shows years and the y-axis shows average hourly earnings of production workers.
line starts at 17.2 on january 2000, slowly increases to 19.7 on january 2006, then increases more quickly to 20.5 on january 2007 and 22.4 on january 2009
What is the meaning of increasing 2%?
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
Therefore from the given data line starts
17.2 on january 2006
20.5 on janury 2007
22.4 on janury 2009
It seems that The option B is correct.
Therefore,his friend’s statement is not accurate. The percent increase will be more than 2%.
To learn more about the percentage value visit:
https://brainly.com/question/11360390
Please help I will give brainliest.
Answer:
the answer is (x-1)^2=4
Divide - 5/4 by 25/13
13/25
hope it helps..!!!
Determine the value of the angle.
Angle BDC=
90°-53°=37°
The whole angle is right angled
We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.
Work Shown:
[tex]112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\[/tex]
Notes:
1 inch = 2.54 cm exactlyThe conversion factor [tex]\frac{2.54 \text{ cm}}{1 \text{ in}}[/tex] is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.Think of "square inches", aka [tex]\text{in}^2[/tex], as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.Which property of multiplication is shown below?
If x = a + bi and y = c + di, x × y = y × x.
commutative property
identity property
distributive property
associative property
Answer:
Commutative property
Step-by-step explanation:
Commutative property: In multiplication, when the order of the two numbers are changed, then it doesnot affect the end result.
Answer:
A on edge 2022
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
first question = 57 degrees
second question = 27 degrees
Step-by-step explanation:
use trigonometry and SOH CAH TOA
then rearrange to find the value of x
using the power of -1
Which of the following is not a congruence transformation?
A. Rotating
B. Translating
C. Stretching
[tex]\bold{Heya!}[/tex]
Your answer to this is :
C. Stretching.→ Explanation:-
Because the other one is congruent together.
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Answer:
I believe your answer is C. Stretching.
Step-by-step explanation:
When you rotate an object your keeping its congruence the same or keeping the shape the same size, while rotating it around a point, same goes for Translating, with translating, your just moving an image from its starting point, also having it keep the same congruence, but with stretching, you are distorting the shape making it bigger/smaller than the original shape so it looses its congruence making it no longer congruent.
(2,132 x 10 -15 - (4,695 x 10 )
Answer:
25,645
________________________________________________________
SolveFirst, find 4,695 × 10
[tex]4,695 * 10 = 46,950[/tex]
Next, do 2,132 × 10
[tex]2,132 * 10 = 21,320[/tex]
Now, subtract by 15.
[tex]21,320 - 15 = 21,305[/tex]
Lastly, subtract by the product you found earlier.
[tex]46,950 - 21,305 = 25,645[/tex]
________________________________________________________
Questions?Ask in comments box.
Please help me solve this problem ASAP
I have a huge test coming up and I need to understand the questions
( Will mark brainiest )
Answer:
1.25w
Step-by-step explanation:
w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here is how to solve it:
[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]
P.S: I anwsered it here:
https://brainly.com/question/27350649
Answer:
1.25
Step-by-step explanation:
There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.