Answer:
x = 32
Step-by-step explanation:
2x+1 + x-7 = 90
3x - 6 = 90
3x = 96
x = 32
A 35-year-old woman has 3 children. If you multiply the 3
children's ages, you get 36. If you add up the 3 children's ages, it's 13. Her oldest child played basketball for 3 years. How old are her 3 kids?
Answer:
Her oldest was 9, and the other 2 were 2
PLEASE HELP ME I NEED THE ANSWER I WILL MARK YOU AS BRAINLIEST
Answer:
15%
Step-by-step explanation:
I know the selected answer is correct but I'm not too sure how to get that answer.
Could someone please explain.
[tex]\tt{ Hey \: there , \: Mr.Panda \: ! } [/tex] ;)
♨[tex] \large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}: [/tex]
⤻ Before solving the given question , you should know the answer of these questions :
✺How do you find the hypotenuse , perpendicular and base when the angle ( [tex] \theta \: , \alpha \: ,\beta [/tex] ) is given ?
⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).
☄ [tex] \large{ \tt{REMEMBER}} : [/tex]
[tex] \bf{ \sin \theta = \frac{opposite}{hypotenuse} = \frac{perpendicular}{hypotenuse} }[/tex][tex]\bf{ \cos\theta = \frac{adjacent}{hypotenuse} = \frac{base}{hypotenuse} }[/tex][tex] \bf{ \tan \theta = \frac{opposite}{adjacent} = \frac{perpendicular}{base} }[/tex]In the above cases , [tex] \theta[/tex] is taken as the angle of reference.
♪ Our Q/A part ends up here! Let's start solving the question :
❈ [tex] \large{ \tt{GIVEN}} : [/tex]
Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16✧ [tex] \large{ \tt{TO \: FIND} : }[/tex]
Value of tan [tex] \theta[/tex]✎ [tex] \large{ \tt{SOLUTION}} : [/tex]
Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :
❃ [tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex] [ Pythagoras theorem ]
[tex] \large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
[tex] \large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 324 - 256}}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 68}}[/tex]
[tex] \large{⇢ \sf{p = \sqrt{68}}} [/tex]
[tex] \large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}[/tex]
Okey, We found out the perpendicular i.e [tex] \tt{2 \sqrt{17}} [/tex] . Now , We know :
❊ [tex] \large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }[/tex]
[tex] \large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}} [/tex]
[tex] \large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}[/tex]
[tex] \large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}} [/tex]
⟿ [tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}} [/tex]
۵ Yay! We're done!
♕ [tex] \large\tt{RULE \: OF \:SUCCESS }: [/tex]
Never lose hope & keep on working ! ✔ツ Hope I helped!
☃ Have a wonderful day / evening! ☼
# StayInAndExplore ☂
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Answer:
√(17)/8
Step-by-step explanation:
We are given with hypotenuse and base. We can have any ratio related to it, such as secant.
secA = hypotenuse/base
secA = 18/16 = 9/8
sec²A = 81/64
Using sec²A - 1 = tan²A
=> 81/64 - 1 = tan²A
=> 17/64 = tan²A
=> √(17)/8 = tanA
______________________
Using cosine of angle A.
cosA = base/hypotenuse
cos²A = (16/18) = (8/9)² = 64/81
sin²A = 1 - cos²A = 1 - 64/81 = 17/81
Hence,
tanA = √(tan²A) = √(sin²A/cos²A) = √((17/81)/(64/81)) = √(17)/8
This looks complex, either go with the 1st or one Or directly find the value of height using Pythagoras theorem,
18² = 16² + height²
√17 = height
tanA = height/base = √17/8
There are 12 pieces of fruit in a bowl. Seven of the pieces are apples and two are peaches. What is the probability that a randomly selected piece of fruit is not an apple or peach? Express your answer as a percent rounded to the nearest whole percent.
10%
10%
17%
17%
25%
25%
83%
Answer:
25%
Step-by-step explanation:
7 apples + 2 peaches = 9
12-9=3
3/12 = 25%
Liz is exploring the coral reef at 92 feet below sea level and Jim is hiking 91 feet above sea level. Does this situation represent an additive inverse?
Answer: 183 is corecct
Step-by-step explanation:
2. The sum of the measures of two angles is 180°. The difference between the
angle measures is 70°. What is the measure of the smaller angle? *
Please help! Will give branliest for correct answer !
God Bless uu!!
Answer:
Solution given:.
area of traingle EFG=1/2b×h=1/2×7×6=21cm²
area of rectangle ABCD=l×b=(20+9)×7=203cm²
area of rectangle BHIJ=l×b=9×11=99cm²
Total area =21+203+99=323cm² is a required answer
use the graph of g(x)=3 √x to help you explain why there is only one solution for every cube root equation of the form y=3 √x+a in which a is a real number
Answer:
G(x)=2x32+c
Step-by-step explanation:
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
AreA of a circle pls help
Answer:
28.26[tex]in^{2}[/tex]
Step-by-step explanation:
Given,
Radius of the circle = 3in.
Area = ?
They have told us to use 3.14 for [tex]\pi[/tex]
Area formula = [tex]\pi r^{2}[/tex]
=> 3.14 * 3 * 3
=> 3.14 * 9
=> 28.26[tex]in^{2}[/tex]
Therefore the area of the circle is 28.26[tex]in^{2}[/tex]
Hope it helps :)
Answer:
28.26
Step-by-step explanation:
You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.
BC is tanget to the circle centered at A with a radius of 3. What is the length of CD?
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
we know that
If CD is tangent to circle A at point D
then
the segment CD is perpendicular to the radius AD
and
ACD is a right triangle
so
Applying the Pythagorean Theorem
we have
substitute
solve for r
Find x. Simplify completely. X Х 16 4. x = [?]
Answer:
4
Step-by-step explanation:
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Marks mailbox has three more edges than vertices. What type of prism is Marks mailbox.
Answer:
njuvcjgxyrsdfygjhkl
Step-by-step explanation:
how do I do this? I'm confused.
Step-by-step explanation:
[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]
need help pls asap !!!!!!!!!
Answer:
x = 5 cm
Step-by-step explanation:
Big rectangle
Length = 30 cm
Width = 12.5 cm
Length : width = 30 cm : 12.5 cm
Small rectangle
Length = 12 cm
Width = x cm
Length : width = 12 cm : x cm
Equate the ratios
30 cm : 12.5 cm = 12 cm : x cm
30/12.5 = 12/x
Cross product
30 * x = 12.5 * 12
30x = 150
x = 150/30
x = 5 cm
Can someone help me ASAP!!
9514 1404 393
Answer:
(a) No, because it will not go through the origin
Step-by-step explanation:
The equation is that of a straight line, but its y-intercept is 2, not 0. Because the y-intercept is not zero, the line does not go through the origin, and the relationship is not proportional.
Evaluate. Write your answer as a fraction in simplest form.
Answer:
6/21
Step-by-step explanation:
2/3 x 2/3 x 2/3
6/21
Margie, Eric, and Connor helped their band stuff envelopes for a fundraiser. Margie has stuffed 96 out of 144 envelopes. Eric has stuffed 62% of his envelopes. Connor has stuffed ¾ of his envelopes. If each student started with the same amount, who has the most envelopes left to stuff?
A. Margie
B. Eric
C. Connor
Please help me it would mean the world. Extra points!
The answer is 102m^2 provided by my teacher I just need the work.
Answer:
[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]
Step-by-step explanation:
remember that,
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]
given that,b is 17 m and h is 12m
thus substitute:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 17\times 12[/tex]
reduce fraction:
[tex] \displaystyle A_{ \text{triangle}} = 17\times 6[/tex]
simplify multiplication:
[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]
1. A rubber ball consists of a sphere with 150 small cones protruding from the surface. The volume of the sphere is 50 cubic centimeters. Each cone has a radius of 0.2 centimeters and a height of 0.4 centimeters. What is the total volume of the ball? Round to the nearest hundredth.
A. 60.05 cm3
B. 2.51 cm3
C. 52.51 cm3
D. 50.02 cm3
2. A baker fills a piping bag with frosting to decorate a cake. The bag has the shape of a cone, and the frosting fills the bag to a height of 12 inches and diameter of 5 inches. Approximately what volume of frosting in cubic inches does the piping bag contain? Round to the nearest tenth.
A. 117.8 in3
B. 314.2 in3
C. 78.5 in3
D. 235.6 in3
3. A ski resort creates a three-dimensional model of its logo consisting of two cones. One of the cones has a radius of 6 feet and a height of 12 feet, and the other has a radius of 5 feet and is 23 the height of the first. What is the volume of the model? Round to the nearest hundredth.
A. 661.83 ft3
B. 496.37 ft3
C. 766.55 ft3
D. 1,985.49 ft3
Answer:
1. C. 52.51 cm3
2. C. 78.5 in3
3. A. 661.83 ft3
Step-by-step explanation:
just finished the quick check
I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.
How many tons are in 14,000 pounds?
Answer:
7000
Step-by-step explanation:
Thus the truck delivers 7 tons of gravel.
What is a unit conversion?"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".
For the above situation,
A truck delivers 14,000 pounds of gravel.
We know that,
1 US ton = 2000 pounds
Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]
⇒ [tex]7 tons[/tex]
Hence we can conclude that the truck delivers 7 tons of gravel.
Learn more about unit conversions here
https://brainly.com/question/20950399
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The solution to a problem is an irrational number. Which statement is true about the solution?
Group of answer choices.
A. It can be expressed as a non repeating, non terminating decimal.
B. It can be a perfect square
C. It cannot be pie π
D. It is not possible to have a irrational number solution.
Answer:
A. It can be expressed as a non repeating, non terminating decimal.
Step-by-step explanation:
An irrational number can be defined as real numbers that cannot be expressed as a simple fraction or ratio of two integers.
Additionally, it is the opposite of a rational number and as such its decimal is continuous without having any repetition or termination. For example, pie (π) = 3.14159 is an example of an irrational number.
Assuming the solution to a mathematical problem is an irrational number. The statement which is true about the solution is that it can be expressed as a non-repeating, and non-terminating decimal.
Angle ABC and angle CBD or a complementary what is the value of X
Answer:
26degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, Angle ABC and angle CBD are complementary hence;
<ABC + <CBD = 90
Given
<ABC = 2x
<CBD = 38
Substitute
2x + 38 = 90
2x = 90 - 38
2x = 52
x = 52/2
x = 26degrees
Hence the value of x is 26degrees
The sides of a triangle are 16, 21,
and 35. Determine if the triangle is
an acute, obtuse, or right triangle.
A. acute
B. right
C. obtuse
Answer:
A Acute
Step-by-step explanation:
cause a acute is between 0 and 90 degrees
omg bet you don't know this
Answer:
2 and 5
Step-by-step explanation:
ez
The absolute value of 5/4
A: 4/5
B: 5/4
C: -4/5
D: -5/4
Answer:
THE ANSWER IS OPTION ( B ) 5/4There are 8 roses in a vase of 14 flowers. The rest are daisies.
(a) What is the ratio of roses to daisies?
(b) What is the ratio of all flowers in the vase to daisies?
Answer:
a) 4:3
b) 7:3
Step-by-step explanation:
No. of roses= 8
No. of daisies = 6
Total no. of flowers = 14
a) Ratio of roses to daisies = No. of roses/No. of daisies
8/6
= 4/3
= 4:3
b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies
14/6
= 7/3
= 7:3
jorge scored 4 out of 5 on a test. jane scored 8 out of 10 on a test. did Jorge and jane get equivalent scores
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.
Approximately what percentage of the pine trees in this forest are taller than 100 feet?
Answer:
4%
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where
x is the raw score = 100 feet
μ is the population mean = 86 feet
σ is the population standard deviation = 8 feet
Hence,
x > 100 feet
z = (100 - 86)/8
z = 1.75
Probability value from Z-Table:
P(x<100) = 0.95994
P(x>100) = 1 - P(x<100) = 0.040059
Converting to Percentage
= 0.040059 × 100
= 4.0059%
Approximately = 4%
Therefore, the percentage of the pine trees in this forest are taller than 100 feet is 4%
Um who else is in love with Kenma Kozume?
Answer:
YESSSSS I AM APART OF THE KENMA CULT
Step-by-step explanation: