find the unknown measures. round lengths to the nearest hundredth and angle measures to the nearest degree.
Answers
Answer:
Angle I = 44
Measure GH=7.64
Measure GI=7.91
Step-by-step explanation:
Angle I:Since we know that m∠H = 46 and m∠G=90, we can find measure angle I by subtracting from 180.
[tex]180=46+90+x\\44=x[/tex]
Measure GH:Since we are given that m∠H = 46, and the triangle is right, we can use trigonometric functions to find the two sides.
First is GH, since it's adjacent to the angle, we will use cosine.
[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(46)=\frac{adjacent}{11}\\ 11*cos(46)=adjacent\\7.64=adjacent[/tex]
Measure GI:The same idea as previous, only instead we will use sine since we need to find the opposite.
[tex]sin(x) = \frac{opposite}{hypotenuse}\\ sin(46)=\frac{opposite}{11}\\ 11*sin(46)=opposite\\7.91 = opposite[/tex]
Related Questions
On January 1, Trisha put $100 into a savings account that earns interest. That same day, Mark put some money into another savings account that also earns interest. After 5 years, Trisha’s account balance is 145% of her original balance, and Mark’s is 160% of his original balance. Mark and Trisha withdraw all of their money and use it to spend $225 at the amusement park. If together they have $40 left from their withdrawals after the amusement park, how much did Mark put into his savings account?
Trisha thinks that if Mark also put $100 into his account, then they would had more than $100 left after the amusement park. Is she correct or not? Explain.
Answers
Answer:
Mark deposited $75Trisha is not correctStep-by-step explanation:
The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...
Trisha withdrew $100 × 145% = $145Mark withdrew d × 160% = 1.6d . . . for some initial deposit d$145 + 1.6d = $225 +40 . . . . . withdrawals = spent + change__
a.Solving this equation, we can find Mark's withdrawal and his initial deposit.
145 +1.6d = 265
1.6d = 120 . . . . . . . the amount Mark withdrew
d = 120/1.6 = 75 . . . . the amount Mark deposited
Mark put $75 into his savings account.
__
b.Had Mark put $100 into his savings account, the total of withdrawals would have been ...
Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305
After spending $225 of this amount, they would have had a leftover amount of ...
$305 -225 = $80
Trisha is not correct in her thinking that there would be more than $100 left over.
jason is wrapping a gift.The box he is using is a rectangular prism with a length of 20 inches a width 12 inches and a height of 5 inches.Find how many square inches of paper does he need to wrap the intire box?
Answers
Answer:
Step-by-step explanation:
Surface area of rectangular prism:
length = l = 20 in
width = w = 12 in
height = h = 5 in
[tex]\boxed{\text{surface area of rectangular prism = 2*[lw + wh + hl]}}[/tex]
= 2* [ 20*12 + 12*5 + 5*20]
= 2* [240 + 60 + 100]
= 2 * 400
= 800 in²
110 4t + 90 t=?
Please help!
Answers
Answer:
because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees
a/b x 8c
when a=2/3
b=1/2
c=3/4
Answers
Write the following in scientific notation?
(Math 8th)
Answers
Answer:
the answer is 3.25 x 10^-4
Step-by-step explanation:
Use the number line below to determine which of the following answer choices has statements that are all true.
Answers
Answer:
I agree with D
Step-by-step explanation:
just because
Find the surface area of this figure.
Answers
Answer:
760 in^2
Step-by-step explanation:
2(22*10)+2(22*5)+2(5*10) = 760in^2
A box of chocolates contains five milk chocolates, five dark chocolates, and three white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is white chocolate, and the third is milk chocolate.
Answers
Answer:
2/7
Step-by-step explanation:
Total no. of chocolates in the box =14
No. of dark Chocolates=4
No. of white chocolates=5
No. of milk chocolates=5
Probability of getting a white chocolate
= No. of possible outcomes /Total No. of outcomes
=5/14
Probability of getting a dark chocolate =4/14=2/7
classfiy the raletionship between 7 and 2.
Answers
Answer:
they are both prime numbers
have a nice day
The answer is below.
What do 2 and 7 have in common?Both prime numbersBoth can get to certain numbers.
2 and 7 can both get to..14
So, this is what they have in common.
#LearningWithBrainly
~NatLikesAnime!
(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.
Answers
Students who will attend community college are not required to take SAT or ACT exams.
Given that,
Standardized test scores should no longer be used as a factor in college admissions because such tests put equity and integrity at stake. Standardized tests, such as the SAT and American College Testing (ACT) are not equitable enough to be used to determine an applicant's status of admission.Based on the information.
About 130 colleges and universities in California no longer require SAT or ACT tests for admission in fall 2022, according to the Los Angeles Times. After the University of California removed the requirement for test scores for admission in 2020, many other colleges and universities followed.Therefore, Students who will attend community college are not required to take SAT or ACT exams.
Learn more: https://brainly.com/question/7567975
a = 28, d = 10 Find the 30th term
Answers
Answer:
318
Step-by-step explanation:
Arithmetic sequence:
a = 28 ; d = 10 & n = 30
[tex]\boxed{a_{n}=a +(n-1)d}[/tex]
a₃₀ = 28 + (30 - 1)*10
= 28 + 29 *10
= 28 + 290
= 318
Calculate the perimeter of the figure shown below.
5 ft
15 ft
10 ft
18 ft
Answers
Answer:
its c
Step-by-step explanation:
think about it for a second
Henry sang 12 songs every song was 3/8 minutes long. For how much time did he sing in total?
Answers
Answer:
4.5 minutes or 36/8 minutes or 9/2 minutes
Step-by-step explanation:
So we simply find 3/8 of 12 by multiplying:
[tex]\frac{3}8} \times 12[/tex]
This gives us 36/ 8
Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.
Hope this helpss!!!
help me pls
32a^8b^6 - 12a^5b^4 c^2 / 4a^3 b^3
Answers
[tex]❖\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{32 {a}^{8} {b}^{6} - 12 {a}^{5} b {}^{4} {c}^{2} }{4a {}^{3}b {}^{3} }[/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ \cancel{4 {a}^{3} b {}^{3} }(8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}) }{ \cancel{4a {}^{3}b {}^{3}} }[/tex]
[tex]\qquad \tt \dashrightarrow \: 8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}[/tex]
Answer:
-_-
Step-by-step explanation:
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} - {12a}^{5} {b}^{4} {c}^{2} }{ {4a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} }{ {4a}^{3} {b}^{3} } - \frac{12 {a}^{5} {b}^{4} {c}^{2} }{4 {a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ 8 {a}^{5} {b}^{3} - 3 {a}^{2} {c}^{2} }[/tex]
mrs.eng brought 4 packs of glue sticks. Each packs has 5 glue sticks. Her class uses 2 of the glue sticks for a project.
Answers
Answer:
same as other answer
Step-by-step explanation:
Kelsey's class took a field trip to the art museum. They left school at 7:40 A.M. It took them
40 minutes to drive to the museum. They stayed at the museum for 1 hour and 15 minutes.
What time was it when Kelsey's class left the museum?
Answers
Answer:
9:35 am
Step-by-step explanation:
7:40 am
+ 40 minutes
7:80
:60 = + 1
:80 - :60 = +:20
8:20
1 hour and 15 minutes =
+ 1 hour =
9:20
+ 15 minutes
9:35 am
how do you do this???
Answers
Answer:
i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5
Step-by-step explanation:
Can I please have brainliest
Line A is perpendicular to Line B.
If the slope of Line A is 3
what is the slope of Line B?
Answers
Answer:
- 1/3
Step-by-step explanation:
m = slope of a line
Perpindicular slope = - 1/m
= - 1/3
Let slope of that line be m
We know product of slopes of two perpendicular line=-1
3m=-1m=-1/3A circle that has (-2,4) and (4,2) as endpoints of a diameter.
Use the given information to write the standard equation of the circle.
I WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER!
Answers
Answer:
[tex]\implies (x-1)^2+(y-3)^2=10[/tex]
Step-by-step explanation:
End points of the diameter of the circle are:
[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]
[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]
Equation of circle in diameter form is given as:
[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]
Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:
[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]
[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]
[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]
[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]
[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]
[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]
[tex]\implies (x-1)^2+(y-3)^2=10[/tex]
This is the required equation of circle in standard form.
Find the area of the shape below
11 ft
7 ft
10 ft
8 ft
2 ft
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Area of whole shape = Area of greater rectangle - area of smaller rectangle
Area of greater rectangle :
[tex]\qquad \sf \dashrightarrow \:11 \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \:110 \: \: ft {}^{2} [/tex]
Area of smaller rectangle :
[tex]\qquad \sf \dashrightarrow \:7 \times 8[/tex]
[tex]\qquad \sf \dashrightarrow \:56 \: \: ft {}^{2} [/tex]
Area of composite figure :
[tex]\qquad \sf \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:54 \: {ft}^{2} [/tex]
How to do the sum
25 cm 25 mm = --------------------m
pls give the ans with explanation
Answers
Answer:
Step-by-step explanation:
100 cm = 1 m
25 cm = 25 ÷ 100 = 0.25 m
1000mm = 1m
25 mm = 25 ÷ 1000 = 0.025
0.250 +
0.025
0.275
25 cm 25 mm = 0.275 m
25cm = .25m 25mm = .025m
.275m
What is the area of the shape?
Answers
Answer:
76
Step-by-step explanation:
to find the area of a square do base x height
7 x 8 = 56
to find the area of a triangle do base x height ÷ 2
3 x 8 = 24
24 ÷ 2 = 12
2 x 8 = 16
16 ÷ 2 = 8
8 + 12 + 56
= 76
The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
What is the Pythagorean Theorem?In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².
Given the following parameters of the right triangle:
c = 4 cma = 3 cmb = ? (other leg)Apply the Pythagorean theorem:
b = √(4² - 3²)
b = 2.6 cm (nearest tenth)
Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
Learn more about Pythagorean theorem on:
https://brainly.com/question/654982
Which of the following tables does NOT show a proportional relationship?
A
B
C
D
Answers
Answer:
A
Step-by-step explanation:
Hey there!
In this question, it is asking us what table doesn't have a proportional relationship
In table A, there is no seen relation ship between the numbers, columns, or rows
In all of the other tables, the numbers in each column is increasing by a number again and again meaning A is the incorrect table.
Answer:
A i believe
Step-by-step explanation:
Its not B because it is proportional by 0.6666666
Its not C because it is proportional by 3
It not D because its proportional by 1.33333333
Please mark as brainliest
3. Find the surface area.
25 yd
10 yd
20 yd
15 yd
Answers
The surface area of the shape is 400 square yards
How to calculate the surface area of a shapeThe formula for calculating the surface area of the shape is given as:
Surface area = Area of square + area of triangle
Surface area = (15 * 20) + (0.5 * 10 * 20)
Surface area = 300 + 100
Surface area = 400 square yards
Hence the surface area of the shape is 400 square yards
Learn more on surface area of figure here:
https://brainly.com/question/16302190
- Meagan puts three flowering plants in a garden bed. Plant 1 and Plant 2 are 6 inches apart Plant 2 and Plant 3 are 10 inches apart Plant 1 and Plant 3 are 13 inches apart Did Meagan place the plants in a right triangle shape? Why or why notp?
Answers
Answer:
No
Step-by-step explanation:
They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3. This means plant 3 can't be in line with 1 and 2 which will give a triangular shape. If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) . Since this isn't a true statement it can't be a right triangle.
Is the quotient of 3 and 1/4 greater than or less than 3?
Answers
Answer:
Greater than
Step-by-step explanation:
The quotient of 3 and 1/4 would be 3/(1/4).
You could then multiply by the inverse of 1/4 to simplify the expression. This would give you [tex]3*\frac{4}{1}[/tex] or just 3 times 4. 3 * 4 = 12.
Since 12 is greater than 3, the quotient of 4 and 1/4 is greater than 3.
PLEASE HELP! PLEASE HELP! I NEED TO GET THIS RIGHT! PLEASE ANSWER FULLY!
Answers
Answer:
15 mph
Step-by-step explanation:
What is the measure of the radius, c, rounded to the nearest hundredth? use an appropriate trigonometric ratio to solve. 5.88 cm 8.09 cm 12.36 cm 17.01 cm
Answers
The measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Trigonometry identityThe given figure is a pentagon. The measure of one of the interior angle is 108 degrees.
The triangle in the pentagon is right angle.
Measured acute ange = 108/2 = 54 degrees
Using the trig identity
sin 54 = 10/c
c =10/sin54
c = 10/0.8090
c = 12.36 cm
Hence the measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Learn more on trigonometry identity here; https://brainly.com/question/7331447
Answer:
12.36
Step-by-step explanation:
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Answers
Answer:
19.2 or 19.20
Step-by-step explanation:
Side 25=hypotenuse because it is across from the rightness of the triangleThis means that teh unknown side is a leg, as well as the side that says 16This makes our equation: a²+16²=25²Next we solve16²=256 and 25² is 625 so now our equation is a²+256=625We then subtract 256 from both sides which leaves us with x²=369To find the value of x, we take the square root of both sides. This leaves us with X=19.2