A 10 ft extension ladder is positioned to reach 7.4 ft up a wall. How far from the wall is the foot of the ladder.
Answer:First, draw a picture.
Distance on ground = 10 feet
Length of ladder (hypotenuse) = x [unknown for now]
Height on wall = x-2
The Pythagorean theorem says, for a right triangle: a2+b2=c2
[note: the hypotenuse, c, is always the longest side]
102 + (x-2)2 = x2
100 + x2 -4x + 4 = x2 [expand using F-O-I-L]
100 -4x + 4 = 0 [subtract x2 from both sides]
104 - 4x = 0 [collect terms]
-4x = -104 [subtract 104 from both sides]
x = 26 [divide both sides by (-4)]
Check:
Is 102 + 242 = 262 ?
100 + 576 = 676 ?
676 = 676 ?yes
Step-by-step explanation:
Which function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 5 f(x) = –(x – 4)2 5 f(x) = (x – 5)2 4 f(x) = –(x – 5)2 4
The function range of {y|y ≤ 5} is f(x)=-(x-4)^4+5.
Since the range has less than a sign, this means that the parabola is
facing downwards and it means that a is negative.
The range is given by
[tex]{y|y \leq k}[/tex]
What is the vertex form of a quadratic equation?[tex]f(x)=a(x-h)^2+K[/tex]
Since the range is
[tex]{y|y \leq 5},[/tex]
This means that k = 5 , and since a is negative
The correct function is
[tex]f(x)=-(x-4)^4+5[/tex]
To learn more about the range visit:
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Answer: B: (f(x) = –(x – 4)2 + 5)
Step-by-step explanation:
ignore the scribble but could somebody please help me?
Answer:
Below in bold.
Step-by-step explanation:
To get a stratified sample you work out the proportion of girls from each school.
From school A we take: (126/461) * 80 = 22 girls.
From B :- (82/461) * 80 = 14 girls.
From C :- (201/461)*80 = 35 girls
From CD :- (52/461)*80 = 9 girls.
Which word in this excerpt from "Places" by Sara Teasdale connotes a soothing feeling?
1. Hush
2. Flaming
3. Fired
4. Desired
Answer:
1. Hush
Step-by-step explanation:
Answer:
The answer should be D.) Desired.
Step-by-step explanation:
The definition of soothing is "having a gently calming effect",
A.) Hush, which in most cases is negative,
B.) Flaming, does not sound gentle OR calming,
B.) Fired usually comes from a negative impact, so your answer MUST and SHOULD be, D.) Desired.
Miguel has a kite shaped like a rhombus. The two diagonals measure 10 inches and 3 inches. What is the area of the kite?
Answer:
15
Step-by-step explanation:
26 Inches!
10 + 3 = 13
13 + 13 = 26 (10 + 10 + 3 + 3)
What is the product of 5/8 x 3/4 A 8/32
B 15/32
C 8/12
D 15/12
log4(2-x)=log4(-5x-18)
[tex]\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x = -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5[/tex]
what is the inequality shown
Answer:
[tex]-2\leq x < 8[/tex]
Step-by-step explanation:
It is between -2 and 8, and includes -2 but not 8
5. Find the Mean Absolute Deviation of the set: 56, 21, 55, 30, 34
Answer:
[tex] mean = \frac{56 + 21 + 55 + 30 + 34}{5} \\ mean = 39.2[/tex]
What’s the distance between the points (-4,3) and (1,-2) on the cord I ate plane
Answer:
[tex]5\sqrt{2}[/tex] or 7.07 (rounded to hundredths place)
Step-by-step explanation:
what is the "cord I ate plane"?
Mark bought a drink for $2. 39 and chips for $1. 89. If he pays with a $20 bill, how much change will he receive?
A roof is constructed as shown. What is the length of the slope of the roof? Round to the nearest 10th
Answer:
Length of slope = 15.8 yd
Step-by-step explanation:
using Pythagoras theorem,
?² = 13² + 9²
?² = 169 + 81
? = √250
? = 15.8 yd
Step-by-step explanation:
According to Pythagoras theorem ,
Hypotenuse ² = Perpendicular ² + base ²
Here , we have to find the hypotenuse
perpendicular = 13ydbase = 9ydputting the known values ,
Hypotenuse² = (13yd)²+ (9yd)²
Hypotenuse² = 169+81
Hypotenuse² = 250 yd
Hypotenuse = √250 yd
Hypotenuse = 15.8 yd
don't spam!! complete answe= Brainliest answer
Answer:
Step-by-step explanation:
1) [tex]\sf v_{f} =v_{i} +gt[/tex]
= 50 + (-9*8) *1
= 50 - 9.8
= 40.2 m/s
2) The acceleration of the ball at its maximum height equals to the force of gravity. -9.8 m/s²
3) The velocity at its top of the path:When the ball is thrown straight up, its velocity keeps on decreasing due the pull of gravity which pulls it towards the ground. So, the velocity at the top of its path is zero.
Michael solved this inequality as shown:
Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x > -1
What property justifies the work shown between step 3 and step 4?
A.
transitive property
B.
division property of inequality
C.
distribution property
D.
addition property of inequality
Answer:
D. addition property
Step-by-step explanation:
at step 3 you would have to add 8 to both sides of the inequality, so it would be the addition property
Answer:
D
Step-by-step explanation:
Explain the difference between acute, right, and obtuse angles.
Source
StylesFormatFontSize
Answer:
Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Step-by-step explanation:
Answer:
Skip to the bottom for image examples, read on for definitions.
Acute angles are angles less than 90 degrees.Right angles are exactly 90 degrees.Obtuse angles are 91 degrees or more.For example, I sliced a pie, and it was an acute angle. Or I could have bought a taco and that taco has an obtuse angle, while if I just picked up a mini-square-cake, it is made of many right angles. And yes, I did draw those images myself as examples.
________________________________________________________
Look around you, there are angles everywhere! Your computer might even have a few acute and right angles in it.
________________________________________________________
What have we learned?We learned the three main types of angles.
Related questions? Ask me in the comments box.
Hello, for those who wanted examples, you have reached the bottom. Please view the images for the examples of each angle type, definitions are not listed on purpose, I want you to guess them yourself as an easy review.
Please help I will give
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5 STARS
and a THANKS
Answer:
19, 39
Step-by-step explanation:
10 colums w/ 2 rows = 20 with 1 non blue = 19 blue blocks
20 columns w/ 2 rows = 40 with 1 non blue = 39 blue blocks
Please help I am confused:)
Step-by-step explanation:
#CARRY ON LEARN
PA BRAINLIEST PO
PLS PLS PLS PLS HELP WITH THIS MATH
Answer:
Step-by-step explanation:
Sequence 1 Sequence 2 Ordered Pair
9 5 (9,5)
11 8 (11,8)
13 11 (13,11)
15 18 (15,18)
17 20 (17,20)
while on vacation Ernesto travelled from us to Europe when he got there he converted his american dollar to euros he gave the bank teller 850$and was given back 630 euros at the end of vacation Ernesto has 150 euros to convert back to dollar how much money in us dollar did Ernesto have when he got home
Answer:
I think it would be 161.9 or 162
customer pays
$
96
for
6
pillows. If each pillow costs the same amount, what is the cost per pillow, in dollars?
Answer:
96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow
Step-by-step explanation:
Answer:
$16
Step-by-step explanation:
To find the cost of a single pillow, you have to divide the total cost of the pillows ($96) by the number of pillows purchased (6).
96 / 6 = 16
Therefore, the cost per pillow, in dollars, is $16. I hope this helps! Have a lovely day!! :)
When a tangent line and a radius intersect on the surface of a circle,
which of the following holds true?
Answer:
c
Step-by-step explanation:
When a tangent line intersects with a radius of a circle at the point of tangency, they will be perpendicular. Tangent lines that meet two different circles. Since a tangent line is perpendicular to the radius of the circle, extend the radius outside of the circle.
The weights of hummingbirds are given below in ounces. Show whether the mean or the median is a better choice for a “typical” hummingbird’s weight and calculate it.
Data in order : 4, 5, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11
Since the data-set contains outliers, the median is a better choice, and it is given of 10 ounces.
When to use the mean or the median?It depends if the data-set contains outliers or not.
If it does, the median should be used.Otherwise, the mean should be used.In this problem, the weights of 4 and 5 ounces are outliers, hence the median should be used. There are 19 values, hence the median will be given by the 10th value, which is 10. Hence the median is of 10 ounces.
More can be learned about the median of a data-set at https://brainly.com/question/25215461
Please help me it's very important that this gets done asap
Answer:
√32 or 4√2 or 5.657 (3 d.p.)
Step-by-step explanation:
Use Pythagoras’ Theoremd² + 7² = 9²Evaluate the known squaresd² + 49 = 81Subtract 49 from both sides to make d² the subjectd² = 81 - 49 = 32d = √32 = 4√2 = 5.657 (3 d.p.)Explain how this shows that you can multiply numbers in any order and get the same answer.
Answer:
i dont see the problem but lets say you have 19*8*15
Step-by-step explanation:
19*8=152*15=2280
8*15=120*19=2280
any way you multiply them their always gonna add up to the same thing
Help me pls I don't understand this pls help me! :I
350in^3 x 1 gal/231in^3
Answer:
3 1/16 galones = 707 pulgadas cúbicas
Step-by-step explanation:
Fórmula: multiplica el valor en gal por 231
Luego, 3 1/16 gal × 231 = 707 in³
PLEASEEE HELPPP 30 POINTSSS!!!
Professor Plum is putting a brick border around his irregular shaped garden. Before installing
the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given
measures to answer the question.
∡ = (6)°
∡ = (3 + 45)°
∡ = (7)°
∡ = (4 + 2)°
∡ = (2 + 15)°
∡ = ( − 9)°
What are the angle measures of each vertex of the garden? Show your work.
Answer:
174; 132; 203; 118; 73; 20°.
Step-by-step explanation:
1) the sum of the internal angles of the given figure is:
S=180*(n-2), where 'n' is number of the angles.
2) according to the rule above the sum of all the internal angles is 720°;
3) according to the item 2, m∠A+m∠B+m∠C+m∠D+m∠E+m∠F=720°. If all the angles are known, then it is possible to re-write this equation as:
6x+(3x+45)+7x+(4x+2)+(2x+15)+(x-9)=720;
23x=667; ⇔ x=29.
4) if x=29, then m∠A=174; m∠B=132; m∠C=203; m∠D=118; m∠E=73; m∠F=20°.
Which transformation or sequence of transformations would produce an image that is not congruent to its pre‐image?
A translation of (x − 2, y + 9)
A translation followed by a rotation
A rotation of 270 degrees about the origin
A dilation followed by a translation
Answer:
A dilation followed by a translationStep-by-step explanation:
A dilation would change the size of the figureHence, on changing it, the transformation will form an image that is not congruent to its pre-imageThe transformation or sequence of transformations that would produce an image that is not congruent to its pre-image is:
A dilation followed by a translation.
If we follow a dilation with a translation, the image will be both resized and shifted. The combination of these transformations will result in an image that is not congruent to its pre-image.
On the other hand:
A translation of (x − 2, y + 9) will shift the object without changing its size or shape. The resulting image will be congruent to the pre-image.
A translation followed by a rotation can result in a congruent image if the rotation angle and translation distance are appropriately chosen. It depends on the specific values used in the transformation.
A rotation of 270 degrees about the origin will preserve the shape and size of the object. The resulting image will be congruent to the pre-image.
To learn more about translation in geometry;
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Two-step inequalities
Find the solution set of the inequality
4.2 - 1< 11.
Answer:
x < 3
Step-by-step explanation:
Your inequality: 4x - 1 < 11
4x - 1 < 11
Add 1 to both sides
4x < 11 + 1
4x < 12
**Don't switch signs because no negatives nor any specifications**
Divide 12 by 4
x < 3
Calculate the perimeter of the shape below
Answer:
21.2
Step-by-step explanation:
4.1 + 6.5 = 10.6
10.6 x 2 = 21.2
a construction crew is lengthening a road
Answer:
Step-by-step explanation:
possible answers for both domain and range can be the following:
all set of all real numbers from 0 to 90;
all set of all real numbers from 200 to 560;
all set of all real numbers from 4 to 200;
(90, 91, 92, 93, ..... 560) ;
90, 91, 92, 93, .......; or
0, 1, 2, 3, .... 200