13. Find the diagonal of a square if the lengths of its sides are each 16 mm. Round to the nearest tenth.
A. 16.0 mm
B. 45.3 mm
C. 22.6 mm
D. 32.0 mm
Answers
Answer:
[tex]C.\ 22.6mm[/tex]
Step-by-step explanation:
When one draws a diagonal in a square (a line connecting opposite corners), the halves of the square form (45-45-90) triangles. This means that the triangle follows the following ratio,
[tex](a)-(a)-(a\sqrt{2})[/tex]
Where (a) represents the legs or the sides adjacent to the right angle (angle with the box around it) and ([tex]a\sqrt{2}[/tex]) represents the hypotenuse or side opposite to the right angle.
Both legs have a length of (16)mm this is because all sides of a square are congruent, and the two sides adjacent to the right angle are both the sides of a square. One of them has the measure of (16) thus the other must have a measure of (16). This means that the diameter has the following value,
[tex]16\sqrt2}[/tex]
In numerical form,
[tex]\approx22.62[/tex]
Related Questions
a planter is shaped like a right rectangular prism its height, h is 5 4/5 inches. The length, L is 14 1/2 inches ,and its width, W is 3 1/2 inches. When determining of the planter, which statements are correct
Answers
Answer:
There appears to be some part of the question missing. Assuming it asks about the volume, the volume is:
Step-by-step explanation:
The volume of a right rectangular prism may be calculated using the formula:
whl, where w is width, h is height and l is length.
In this case it is hlw or (5.8*14.5*3.5) = 294.35 cubic inches.
Answer: 8 ft
Step-by-step explanation:To find the correct answer, use the formula, V=l×w×h. Substitute 48 for the volume, 2 for width, and 3 for height. Then, use a related division equation to find the length.
48 = l × 2 × 3
48 = l × 6, so 48 ÷ 6 = l
8 = l
The length of the planter box is 8 feet.
The school drama club had 40 students in it last year. This year, the club has 52 students.
What is the percent increase in the number of students from last year?
Answers
Answer:
30% increase
Step-by-step explanation:
There is a sequence of four Engineering classes that a student must pass to finish her major. Each class depends primarily on material learned in the previous class. Consider a student who will maintain good standing in these classes. An experienced advisor predicts that, if the student earns an A in one of these classes, she has probability .6 of an A in the next class in the sequence, .3 of a B, and .1 of a C. If the student earns a B in one of these classes, she has probability .25 of an A in the next class in the sequence, .55 of a B, and .20 of a C. If the student earns a C in one of these classes, she has probability .05 of an A in the next class in the sequence, .40 of a B, and .55 of a C. a) Write out the Markov transition matrix for how this student is expected to do in the next class in sequence after taking one of the classes. b) Find the probability that if a student earns a
Answers
Answer:
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Step-by-step explanation:
using the given data in the question
a) The Markov transition matrix
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Note : Column 1 = A, column 2 = B, Column 3 = C
Row 1 = A, Row 2 = B and ROW 3 = C
b) Question is incomplete
A block of wood is 2.5 feet long, 0.5 feet wide, and 0.25 feet tall. It weighs 16.5 pounds.
To the nearest pound, what is its density in pound per cubic feet?
Answers
Answer:
Density = 52.8 pound per cubic feet.
Step-by-step explanation:
Given the following data;
Length = 2.5 feet
Width = 0.5 feet
Height = 0.25 feet
Mass = 16.5 pound
To find the density of the wood;
First of all, we would determine the volume of the wood.
Volume = length * width * height
Volume = 2.5 * 0.5 * 0.25
Volume = 0.3125 cubic feet
Next, we find the density;
Mathematically, density is given by the formula;
Density = mass/volume
Substituting into the formula, we have;
Density = 16.5/0.3125
Density = 52.8 pound per cubic feet.
What’s the correct answer??? I will mark as brainlest
Answers
reason: the - (- makes positive. you add the x and 5x to get 6x, then subtract the -3x to get 3x :))
hope this helps
1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.
Answers
Answer:
1. 144.4 m²
2. 120 m³
Step-by-step explanation:
The figure is composed of a triangular prism and a rectangular prism
1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)
✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L
b = 5 m
h = 2 m
s1 = 3.2 m
s2 = 3.2 m
s3 = 5 m
L = 6 m
Plug in the values
Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6
= 10 + (11.4)*6
= 78.4 m²
✔️Area of rectangular prism = 2(LW + LH + WH)
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Area of rectangular prism = 2(6*5 + 6*3 + 5*3)
= 126 m²
✔️Area of the face joining both figures = L*W
L = 6 m
W = 5 m
Area = 6*5 = 30 m²
✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)
= 48.4 + 96
= 144.4 m²
2. Volume of composite figure = volume of triangular prism + volume of rectangular prism
= ½*a*c*h + L*W*H
a = 2 m
c = 5 m
h = 6 m
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Volume = ½*2*5*6 + 6*5*3
Volume = 30 + 90 = 120 m³
Which symbol correctly compares the two angle measures?
I radians
30°
O
A.
B. <
C. >
Answers
Answer:
C. >
Step-by-step explanation:
The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for
the system of equations that has the solution which corresponds to a point at (12, -39)?
Answers
Answer:
b
Step-by-step explanation:
the answer to this question is b
Plzzz help as soon as possible
Answers
A triangle as a height of 18 cm and a base of 3.5 cm what is the area of the triangle
Answers
Answer:
31.5
Step-by-step explanation:
The area of a triangle is 1/2 * b * h
so base times height times one half
Answer:
31.5 cm²
Step-by-step explanation:
(18 · 3.5) ÷ 2
63 ÷ 2
31.5
What is the first step in constructing an angle
Answers
Answer:
Step 1: Draw the arm PQ.
Step 2: Place the point of the compass at P and draw an arc that passes through Q.
Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.
Step-by-step explanation:
Step 1: Draw AB of any length. Step 2: Place the centre of the protractor at A and the zero edge along AB. Step 3: Start with zero near B. Mark point C at 40°.
Question
25 x 19292929292292929929.
Good Luck | (41 Points)
Answers
Answer:
4.82323232E20
Answer:
482,323,232,307,323,248,225
How do I get the answer to 45.27 x 62.3?
Answers
Answer:
2820.321
Here’s how the multiplication works:
Perform the multiplication just as you would for whole numbers.
When you’re done, count the number of digits to the right of the decimal point in each factor and add the results.
Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.
Step-by-step explanation:
Mark me brainliest!
Which graph below shows a system of equations with one solution?
1 and 2
Answers
Answer: the Second one
Step-by-step explanation:
Hope this helps you
Please help i need the MAD what ever that means
Answers
Answer:
what is the MAD??????????
Step-by-step explanation:
Answer:
Answer depends on the data (not provided in your question)
Step-by-step explanation:
MAD stands for mean absolute deviation. The definition gives clues as to how to find it.
Deviation refers to how far a number is from the mean (average) of the data
Example: For the data -12, 4, 12, 16, the mean of the data is (-12+4+12+16)/4 = 5.
Data Absolute Deviation from mean
-12 |-12 - 5| = 17
4 |4 - 5| = 1
12 |12 - 5| = 7
16 |16 - 5| = 11
Mean Absolute Deviation (MAD)
(17 + 1 + 7 + 11) / 4 = 9
Identify the null and alternative hypothesis in the following scenario.
To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with unknown standard deviations.
a. H0:μ1≥μ2; Ha:μ1<μ2
b. H0:μ1≤−μ2; Ha:μ1>−μ2
c. H0:μ1≥−μ2; Ha:μ1<−μ2
d. H0:μ1=μ2; Ha:μ1≠μ2
e. H0:μ1≤μ2; Ha:μ1>μ2
Answers
Answer:
H0 : u1 = u2 ; H1 : u1 ≠ u2 , or specifically u1 > u2
Step-by-step explanation:
Null Hypothesis is the neutral hypothesis , stating no difference from assumed value, (or in this case no difference between both batteries' mean life)
Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)
Let mean life of battery 1 & battery be b = u1 & u2 , respectively.
Null Hypothesis [ H0 ] : u1 = u2
Alternate Hypothesis [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }
Read this excerpt from Fever 1793.
Andrew Brown's print shop smelled of ink and grease and the sweat of muscular apprentices carrying trays of lead type from the composing table to the printing press. When I was a child, Mr. Brown let me pick out letters and set them in the form. It had been a thrill seeing my words in print.
The printer issued no invitation to me that morning. He was deep in conversation with Mr. Carris as we entered.
Readers understand Andrew Brown's feelings based on his
direct statements
unusual actions.
work habits.
attitude toward others.
Answers
Answer: The answer is (B) unusual actions
Step-by-step explanation:
I took the test on edge and got it right and all so the person above me is correct, have a wonderful day. And good luck with your test. (✿◡‿◡)
Reading the excerpt allows a reader to understand what Andrew Brown is feeling thanks to his unusual actions.
How can the reader infer Andrew Brown's feelings?The speaker in the excerpt talked about how Andrew Brown would usually offer to allow him to pick out letters and arrange them in a form.
On this day, Andrew Brown did not offer the speaker that courtesy which was unusual. This shows that Andrew Brown is not his usual self.
In conclusion, option B is correct.
Find out more on Fever 1793 at https://brainly.com/question/6111208.
find circumference of the following circle.
Answers
Answer:
I don't know this sorry
Answer:
the photos unclear if you take another and post it I can answer it
Step-by-step explanation:
Find the missing length indicated
Please help, no links
Answers
Answer:
x = 48
Step-by-step explanation:
36/x = x/64
x² = 36 x 64 = 2304
x = √2304 = 48
Qadir has $400.56 in his Friendly Debit card checking account. He uses the card to pay $450.50 to fix his furnace. Four days later, he deposits $150.00 into his checking account. How much money will Qadir have left in his account when the money is taken out to pay for the repair?
Answers
Answer:
$-69.94
Step-by-step explanation:
Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94
He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)
Total amount left in his account = $-49.94 - $20
Need help quick just the answer
Answers
it is c
if you need an example tell me in the comment
Select the correct answer.
Point P is the centroid of triangle JKL.
R
16
30
S
What is QL?
OA 32
OB. 45
OC 46
OD
48
OE. 64
Reset
Next
Answers
Answer:
D. 48
Step-by-step explanation:
QP = 16 (given)
LP = ?
Given that P is the centroid of the triangle, therefore:
QP = ⅓(QL) (based on the centroid theorem)
Plug in the value
16 = ⅓(QL)
Multiply both side by 3
3*16 = QL
48 = QL
QL = 48
Which of the following is an example of a sample that would NOT be random? A. Going through the list and choosing the first 25 names on the list. B. Writing each student’s name on a card and then drawing out 25 names without looking. C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names. D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
f(x) = 2x3 - 3x2 + 5
g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14
Answers
Answer:
(f - g)(x) = -x³ -5x² + 4x + 14
Step-by-step explanation:
f(x) = 2x³ - 3x² + 5
g(x) = 3x³ + 2x² - 4x - 9 subtract
(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)
(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)
(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)
(f - g)(x) = -x³ -5x² + 4x + 14
Juliette won her 400m race in a time of 1:01.71. If she ran the 1500m at the same rate,
approximately how fast would she run the race?
Answers
Answer:
230.77 seconds or about 3.85 minutes (2 minutes 50.4 seconds)
Step-by-step explanation:
First I will convert the minutes into seconds to make this a little easier.
1:01.71 would just be 61.71 seconds
400/61.71 is her speed for the first race. (speed is distance/time)
That is approximately 6.5 meters per second
time is distance/speed
1500/6.5= 230.769...
I do not know what you need to round to, but Juliette would take 230.769 seconds to run the 1500 meter race.
9/2.5-5.2=10.8 What is G
Answers
Answer:
G = - 6 . 75
Step-by-step explanation:
10 . 8 / - 1. 6
- 6 . 75
I need help badly and don't send no links or you will be reported
Answers
Answer:
-6,2
Step-by-step explanation:
the diagram shows a parallelogram. what is the value of x
Answers
Answer:
Step-by-step explanation:
what
Answer:
where is the diagram
Step-by-step explanation:
2.
Which choice shows temperatures in order from coldest to
warmest?
F 17°, 0°, -13.5°, -3.2°
G -3.2°, -13.5°, 0°, 17°
H -13.5°, -3.2°, 0°, 17°
1 -13.5°, 0°, -3.2°, 17°
Answers
Answer:
H
Step-by-step explanation:
When the absolute value is bigger with a (-) negative sign, it means that it is the smallest. Since -13.5 has the greatest absolute value with a negative sign, then -3.2 is smaller than 0, the answer is H.
Answer:
H -13.5°, -3.2°, 0°, 17°
Step-by-step explanation:
These are not the answers!!
F 17°, 0°, -13.5°, -3.2°
G -3.2°, -13.5°, 0°, 17°
1 -13.5°, 0°, -3.2°, 17°
y
B (7,-3)
C(6,-)
A (4,-9)
What is the y-coordinate of point C?
OA – 4
OB. –S
C. -6
D.-7
Answers
Answer:
c, -6
I hope this helps you