Answer:
[tex]\boxed {\boxed {\sf x \approx 23.49 \ cm }}[/tex]
Step-by-step explanation:
This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.
[tex]a^{2} + b^{2} =c^{2}[/tex]
where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.
[tex]a= 17 \\b=x \\c= 29[/tex]
[tex]17^{2} + x^{2} =29^{2}[/tex]
Solve the exponents.
17²=17*17=28929²= 29*29=841[tex]289+x^{2} =841[/tex]
289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.
[tex]289-289+ x^{2} =841-289\\x^{2} =552[/tex]
x is being squared and the inverse is a square root. Take the square root of both sides of the equation.
[tex]\sqrt {x^{2} }=\sqrt {552}[/tex]
[tex]x=23.4946802489[/tex]
Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.
[tex]x \approx 23.49[/tex]
x is approximately 23.49 centimeters.
30 = 6y
A)y= 5
B)y = 6
C)y = 180
D)y = 10
Answer:
A) y = 5
Step-by-step explanation:
30 / 6 = 5
y = 5
Hope this helps! Have a nice day! Plz mark as brainliest!!!
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Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Answer:
she brought 21 shirts and two pants
Step-by-step explanation:
shirt
21 × 14.50 = 304.50
357- 304.50 = 52.5
pants
52.5 ÷ 25 = 2.1
what is the sum of -4/7 and 6/7
Answer:
2/7
Step-by-step explanation:
Since the denominators are the same, we need to add the numerators and place it over the common denominator
-4+6 = 2
so
-4/7 + 6/7 = 2/7
2/7
Answer:
B
Step-by-step explanation:
A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?
Answer:
j = $15
t = $5
Step-by-step explanation:
This question can be solved using simultaneous equation
let the price of t-shirt be represented with t
let the price of jeans be represented with j
From the question, these two equations can be derived
2j + 6t = 60 eqn 1
4j + 3t = 75 eqn 2
multiply eqn 1 by 2
4j + 12t = 120 eqn 3
Subtract eqn 2 from 3
9t = 45
divide both sides by 5
t = 5
Substitute for t in eqn 1
2j + 6(5) = 60
2j = 30
j = 15
what is 1.9 rounded up to the nearest tenth
Answer:
0
Step-by-step explanation:
Answer:
1.9
Step-by-step explanation:
It stays the same. cause its Already rounded to the nearest tenth.
Select the correct answer from each drop-down menu.
A park ranger recorded the number of deer living in a state park for several years and developed the function plo) = 80(1.2)' to model the total
number of deer in the park tyears after she began recording the data.
In the ranger's function, time is the
variable and the total number of deer in the park
please help !!
Answer:
its independent and changes by constant factor per year
In the ranger's function, time is the independent variable, and the total number of deer in the park is the dependent variable.
Given data:
A park ranger recorded the number of deer living in a state park for several years and developed the function p ( t ) = 80 ( 1.2 )^t to model the total number of deer in the park "t" years after she began recording the data.
The total number of deer in the park is represented by "p(t)," which is the output of the function. As the value of "t" increases, the function calculates the total number of deer in the park based on the initial value of 80 and the growth rate of 1.2.
Hence, the time is the independent variable and number of deer is the dependent variable.
To learn more about exponential form click :
https://brainly.com/question/29337692
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The complete question is attached below:
A park ranger recorded the number of deer living in a state park for several years and developed the function p ( t ) = 80 ( 1.2 )^t to model the total number of deer in the park t years after she began recording the data. In the ranger's function, time is the variable and the total number of deer in the park.
Find x, y, and z in the figure.
Answer:
Since x + y + z = 180° and z = 90°, y + z = 90°
Thus x + y = z
Step-by-step explanation:
A company charges customers $5.25 for shipping An entire order. A customer was charged a total of $19.50 for the shipping and the items which equation will have a customer find the price P of the items
Answer:
the answer is 5.25p=19.50
Twice a year, the P.E. teachers test the fitness level of all sixth-grade students at Walker Middle School. The students' weights and heights are measured as well as the time it takes each student to run a mile and the number of sit-ups and push-ups each student can do.
Which of the following are statistical questions that can be answered by the data gathered in the first fitness test of the year?
How many chin-ups can a sixth-grade boy do?
What are the weights of the sixth-grade boys?
How many sixth-grade students are there?
How many push-ups can a sixth-grade girl do?
What is the shortest height of the sixth-grade students?
What are the heights of the eighth-grade girls?
Answer : b: How many push-ups can a sixth grade girl do? and d:What are the weights of the sixth grade boys?
Answer:
How much do sixth grade boys weigh?
How many push-ups can a sixth grade girl do?
Step-by-step explanation:
A statistical question is one that has a variable answer.
Determine which questions are statistical questions and can be answered with the data gathered in the fitness test.
The questions "How many sixth grade students are there?" and "What is the shortest height of the sixth grade students?" can be answered with the data gathered in the fitness test. However, they do not have variable answers, so they are not statistical questions.
The questions "What are the heights of the eighth grade girls?" and "How many chin-ups can a sixth grade boy do?" do have variable answers, so they are statistical questions. However, these questions cannot be answered with the data gathered in the fitness test.
The questions "How much do sixth grade boys weigh?" and "How many push-ups can a sixth grade girl do?" do have variable answers, so they are also statistical questions. These questions can be answered with the data gathered in the fitness test.
Hope I helped.
Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.
Step-by-step explanation:
if x-4 is a factor of 2x^3 + x^2- 26x - 40
then f(4) = 0
f(x) = 2x^3 + x^2- 26x - 40
f(4) = 2(4)^3 + (4)^2 - 26(4) - 40
f(4)= 2(64) + 16 - 104 - 40
f(4) = 128 + 16 - 104 - 40
f(4) = 0
hence factorize completely is the photo
The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder?
A.60 π cm^3
B.50 π cm^3
C.27 π cm3
D.36π cm^3
1. Add: 85 + (-96) *
Help
Answer:
Your answer is -11
Step-by-step explanation:
85-96=-11
If angle DCA measures 40 degrees, what does angle ACB measure?
*see attachement for the diagram that is being referred to
Answer:
m<ACB = 50°
Step-by-step explanation:
From the diagram, <DCB is a right angle = 90°
Therefore:
m<DCA + m<ACB = 90° (complementary angles)
m<DCA = 40° (given)
Thus:
40° + m<ACB = 90° (Substitution)
m<ACB = 90° - 40° (Subtraction property of equality)
m<ACB = 50°
Question Help
At 9.30 AM, Brianna started filling a 3.600 gallon pond. At 11:30 AM, she had filled 1,800 gallons
At what time will the pond be full?
Answer:
1:30
Step-by-step explanation:
She filled half in 2 hours. Add two hours to get ful
Answer: 1:30
Step-by-step explanation: It took two hours to fill 1,800 gallons. 1,800 x 2 = 3,600.
It would take another two hours for the pond to be full. So, 11:30 time skip to two hours is 1:30.
Determine the exact value for sec (5π/4)
Answer:
-√2
Step-by-step explanation:
C on Edg
Answer: - square root 2
Step-by-step explanation: c on edge
Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Answer:
[tex]\sin\,\theta =-\frac{\sqrt{21} }{5}[/tex]
[tex]\tan\,\theta =\frac{\sqrt{21} }{2}[/tex]
[tex]\sec\,\theta = \frac{-5}{2}[/tex]
[tex]cosec\,\theta =\frac{-5}{\sqrt{21} }[/tex]
[tex]\cot\,\theta =\frac{2}{\sqrt{21} }[/tex]
Step-by-step explanation:
[tex]\cos\theta =\frac{-2}{5}<0\\sin\theta <0[/tex]
As both [tex]sin\,\theta<0,\,\cos\,\theta <0[/tex],
[tex]\theta[/tex] lies in the third quadrant.
In the third quadrant,
[tex]\sin\theta<0,\,\cos\,\theta <0\,,\,\sec\,\theta<0,\,cosec\theta<0,\,tan\,\theta>0,\,cot\,\theta>0[/tex]
[tex]\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}[/tex]
[tex]\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}[/tex]
[tex]\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}[/tex]
[tex]\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }[/tex]
[tex]\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }[/tex]
1.1
LKR
(2)
1.2
R
(2)
1.3
N
[6]
9514 1404 393
Answer:
1.1 ∠LKR = 90°
1.2 ∠R = 32°
1.3 ∠N = 32°
Step-by-step explanation:
1.1 An inscribed angle is half the measure of the arc it subtends. Angle LKR is half the measure of the arc of semicircle LNR, so is 90°.
∠LKR = 90°
__
1.2 ΔLKR is a right triangle with angles L1 = 58°, ∠K = 90°, so ∠R is ...
∠R = 90° -58°
∠R = 32°
__
1.3 ∠N subtends the same arc LK that ∠R does, so it has the same measure.
∠R = ∠N = 32°
Tyler has 3 times as many books as Mai. How many books does Mai have if Tyler has 21 books?
Step-by-step explanation:
Say 21 divided by 3, which gives you 7
So mai has 7 books
Answer:
Mai has 7 books
Step-by-step explanation:
Tyler has 21 books and 3 times more than Mai
21/3 = 7
Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ. Prove: ΔWXY ~ ΔWVZ Triangle W X Y is shown. Line segment Z V is drawn parallel to side Y X to form triangle W V Z. Complete the steps of the proof. ♣: ♦: ♠:
Answer:
The answer is below
Step-by-step explanation:
Two triangles are similar if the ratio of their corresponding sides are in the same proportion.
1. ΔWXY is isosceles with legs WX and WY (given)
2. ΔWVZ is isosceles with legs WV and WZ (given)
3. WX = WY, WV = WZ (definition of an isosceles triangle)
4. [tex]\frac{WX}{WY}=1\\\\[/tex]
[tex]\frac{WX}{WY}=\frac{WZ}{WZ} \ \ \[/tex] (definition of ≅)
5. (WZ)(WX) = (WY)(WZ) (multiplication property)
6. (WZ)(WX) = (WY)(WV) (substitution property).
7. [tex]\frac{WY}{WZ}=\frac{WX}{WV}[/tex] (property of proportion)
8. ∠W = ∠W (reflexive property)
9. ΔWXY ~ ΔWVZ (side - angle - side similarity postulate)
Answer:
♣:
✔ WX = WY; WV = WZ
♦:
✔ substitution property
♠:
✔ SAS similarity theorem
Step-by-step explanation:
just took it :)
heyy!! i need help!!
Answer:
X - 3 = 5
Step-by-step explanation:
X decreased by 3 means X-3.
If X - 3 is 5, then it can be written as X - 3 = 5
Answer: 8
Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.
The correct answer plz!!!!!!!
Which inequality had the graph shown below?
Answer:
y < 2x -3
Step-by-step explanation:
A sporting goods store manager was selling a ski set for a certain price. The manager offered the
markdowns shown, making the one-day sale price of the ski set $324. Find the original selling price
of the ski set.
Answer:
The answer is 578.57
Step-by-step explanation:
your welcome
During a basketball game, Jeremy scored triple the number of points as Donovan. Kolby scored double the number of points as Donovan. If the three boys scored 36 points, how many points did each boy score?
Answer:
6.......................
Answer:
Jeremy scored 108 and kobly scored 72 and donvan scored 37
Step-by-step explanation:
Please help. Explanation would help :)
Answer:
Step-by-step explanation:
- 50 + (5 / 13)p this says negative 50 plus 5/13 times p
if p = -26 what does this epression evaluate to?
- 50 + (5 / 13) × p p = -26 substitute the value of p into the expression
- 50 + (5 / 13) × (-26)
- 50 + (5 (-26) / 13) I just rewrote the expression to make it clearer
that the -26 in -26/1 and the 5 in 5 / 13 are
both in the numerator over denominator 13
- 50 + (5 (-26) / 13) -26 / 13 evaluates to -2
-50 + (5)(-2)
-50 + (-10)
-50 - 10
-60
A card is drawn at random from a standard deck. What is the probability that it is a black card and a king ?
Answer: we know that the probability of drawing black card is 26/52. Probability of drawing a king is 4/52. when we draw a card from a pack of 52, the card could either be a black card or a king.
Step-by-step explanation:
Hope this helps you! Have a good day!
Btw Happy april fools day! :)
Help and I will give brainliest
Don’t answer part a and part b
Ok, 20 points for this one
Answer:
x = 7Step-by-step explanation:
2 angles are added to result in = 180°
therefore
180 = 97 - 3x + 69 + 5x
180 = 166 + 2x
2x = 180 - 166
2x = 14
x = 14 ÷ 2
x = 7 ✅The value of x = 7
______________
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- kexcvi
(b) Write down an equation of a line that is parallel to y =2 – 3x
Answer:
4-6x=y2
Step-by-step explanation: