Given:
Shape of the shelf is a right triangle.
Width of the shelf = 9 inches
Length of the shelf = 40 inches
He believes the diagonal will be 41 inches.
To find:
Whether he is accurate or not.
Solution:
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem, find the length of the diagonal.
[tex]Diagonal^2=Width^2+length^2[/tex]
[tex]Diagonal^2=(9)^2+(40)^2[/tex]
[tex]Diagonal^2=81+1600[/tex]
[tex]Diagonal^2=1681[/tex]
Taking square root on both sides.
[tex]Diagonal=\pm \sqrt{1681}[/tex]
But side cannot be negative.
[tex]Diagonal=41[/tex]
Therefore, the length of the diagonal is 41 inches. So, John is accurate.
Find the area of a circle with a radius of 9.6 meters use 3.14 for π Round your answer to the nearest hundredth
Answer:
289.38 m^2
Step-by-step explanation:
(9.6)^2 x 3.14 = 289.38 m^2
The area of the circle is [tex]289.38\ m^2[/tex]
Calculation of the ara of the circle:Since the radius of 9.6 meters and we use 3.14 for π
We know that
The area of the circle is
[tex]= \pi r^2\\\\= 3.14\times (9.6)^2\\\\= 289.38\ m^2[/tex]
We simply applied the given formula so that the area of the circle could come
Therefore we can conclude that The area of the circle is [tex]289.38\ m^2[/tex]
learn more about an area here: https://brainly.com/question/24364874
2t + 9 + 4 + 3t = 23
full answer no word
Answer:
t = 2
Step-by-step explanation:
15y = 45x + 60
What is the slope
6y=12x + 36
What the slope
Answer:
12 that's what I think the answer is
Answer:
3 and 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
15y = 45x + 60 ( divide all 3 terms by 15 )
y = 3x + 4 ← in slope- intercept form
with slope m = 3
Given
6y = 12x + 36 ( divide all 3 terms by 6 )
y = 2x + 6 ← in slope- intercept form
with slope m = 2
1880000 in scientific notation
Answer:
1.88 x 10⁶
Step-by-step explanation:
What are the coefficients in the expression 10g + 3e + 9
Answer: 10 and 3
Step-by-step explanation:
A coefficient is a number placed before a variable so its 10 and 3 in this expression.
PLEASE HELP ME I WILL DO ANYTHING
Answer:
we can tell if line ac is straight
Step-by-step explanation:
5×7/2
please answer me
Step-by-step explanation:
[tex]given \\ = 5 \times \frac{7}{2} \\ = \frac{35}{2} [/tex]
Hope it will help :)
Dion ran 3.75 kilometers each day to prepare for a race. What was the number of kilometers that Dion ran during 28 days?
Answer:
Dion ran 105 kilometers in 28 days.
Step-by-step explanation:
3.75*28= 105
Dion ran 105 kilometers in 28 days.
Answer:
105 Kilometers
Step-by-step explanation:
3.75 times 28 equals 105.
9x - 10y = -30
Slope
Answer:
the slope is 9/10 and the y-intercept is (0,3) I hope it helps
The ratios of the measures of the angles in a triangle is 3:10:7. Find the measure of the smallest angle. Just write the numerical answer
PTS and PQR
Hey there! This is my last math question of the day! Please, do me a favor and help me out! Please remember I need an inequality for this answer! Thanks!
Answer:
150 ≥ 55+0.20t
Can anyone help me with this?
9x+4=15
Find value of x
Step-by-step explanation:
9x+4=15
9x=15-4
9x=11
x=11/9 or 1 2/9
Answer:
Move all terms that don't contain
x
to the right side and solve.
Exact Form:
x=119
Decimal Form:
x=1.¯2
Mixed Number Form:
x=1 2/9
Explanation:Hope it is helpful....
Triangle RST is diated to form triangle R'S'T with the scale factor of 3.5. If RT=8 what is the length of R'T
Answer:
R'T = 28
Step-by-step explanation:
Dilation is one of the methods used in transformation. It is a process in which the size of a given object or shape is either increased or decreased by a scale factor.
In the given question, the length of RT was increased by the scale factor, so that;
R'T = RT x scale factor
= 8 x 3.5
= 28
R'T = 28
Therefore, the length of R'T is equal to 28.
can someone help me with this problem
Answer:
i cant see the question
Step-by-step explanation:
Tina is 7 years younger than her cousin, Sierra. Their ages add up to 31. How old is Tina?
Answer:
Sierra is 19 and Tina is 12.
Step-by-step explanation:
Sierra is 19 and Tina is 12.
19-7 = 12
19+12= 31
Simplify the expression (please)
Answer:
9(v-8)
[line]
v+6
Step-by-step explanation:
Kona ice charges 4.50 for their large cup. Each refill on the cup cost $1.25. If Jason has 19.50, how many refills can he get before he runs out of money.
Answer:
12
Step-by-step explanation:
19.50-4.50=15
15÷1.25=12
A spinner is divided into 8 equal sections: What is the theoretical probability of spinning and landing on 2, 7, or 5?
Answer:
3/8 or
2.67 or
2 67/100
Step-by-step explanation:
2.671×100100=267100
8 divide by 3. Take that and convert to fraction or decimal either or.
14.Find the value of <A in the following figure.
Given:
The figure of triangle ABC.
To find:
The measure of angle A.
Solution:
From the given figure, we get
[tex]\angle ABC+120^\circ=180^\circ[/tex] (Linear pair)
[tex]\angle ABC=180^\circ-120^\circ[/tex]
[tex]\angle ABC=60^\circ[/tex]
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]\angle A+\angle ABC=105^\circ[/tex] (Exterior angle theorem)
[tex]\angle A+60^\circ=105^\circ[/tex]
[tex]\angle A=105^\circ-60^\circ[/tex]
[tex]\angle A=45^\circ[/tex]
Therefore, the measure of angle A is 45 degrees.
will someone plz help me
GEOMETRY PROOFS ;-;
BRAINLIEST IF CORRECT!!
I'll report if you don't answer w something relevant to the problem (help me please..)
GIVEN: AE=BD; CD=CE
PROVE: AC=BC
Answer:
1. ae=bd; cd=ce (given) 2. ae=ac+ce (segment addition postulate) 3. bd=ac+cd (substitution property of equality) 4. ac+cd=bd (symmetric property of equality) 5. bd=bc+cd (segment addition postulate) 6. ac+cd=bc+cd (transitive property of equality) 7. ac=bc (subtraction property of equality)
i think
Step-by-step explanation:
What is the equation in slope-intercept form
( y = mx + b)?
A. y =13x -3/2
B.y = -3/2x + 13
Answer:
B
Step-by-step explanation:
Slope is rise/run, so the fraction would be more likely to be the correct answer.
HELP! solve for x in the diagram below.
Answer:
[tex]x = 40 [/tex]
Step-by-step explanation:
[tex]x + x + 100 = 180 \\ 2x = 80 \\ x = 40 [/tex]
What is the average speed of a soccer ball that travels 34 m in 2 s? Wright in 3 Sentences.
Also, How long would it take a bus traveling at 52 km/h to travel 130 km? Answer in 3 sentences.
Answer:
1). The average speed is 17 mps (m per second). I know this because if you divide 34 m by 2, (in order to get the m per second) you will get 17 mps. Thats how i got my answer.
2). It would take 2.5 hours to travel 130km. I know this by dividing 139 by 52. I chose to do this because if you travel 52km/h, then dividing 130km by 52 will give you an answer
what the value of 4 in 0.487
Answer:
It is its tenth value
Step-by-step explanation:
The 4 in .487 is the tenths value
What is the solution of log subcript 2 (3x-7)=3
Answer:
x=5
Step-by-step explanation:
Answer:
C) 5
Step-by-step explanation:
2^3=3x-7
2*2*2=3x-7
8=3x-7
3x=8+7
3x=15
x=15/3
x=5
Heather wants to purchase an electronic guitar. The price of the guitar with tax is $2,420. If she can save $90 per month, how long will it take her to save up for the guitar?
Answer:
About 27 months with additional days
Step-by-step explanation: 2420/90 is 26.888888888888888888888888888889
PLS HELP ME ILL GIVE U BRAINLIEST THXX Find (F-g)(2)
Answer:
-9 is the correct answer
How many solutions does 5x + 4y=6 have
Answer:
Error....
.
.
.
.
.
At least 2 equation needed for the solution of two variables
How many quarts of soil are used to fill 2 flower pots? Each pot holds 3 2/5
quarts of soil.
Two flower pots hold quarts of soil
Answer:
3 2/5
Step-by-step explanation: