Answer:
Diagonal of the rectangle = 13 units c =13
side of rectangle = 12 units a = 12
area of the rectangle = l× b
In rectangle all the corner angle is 90 degree. A diagonal of the rectangle forms two right angle.so we use Pythagoras theorem.
formula ; a²+b²=c² a = 12 , c = 13
12²+b² = 13²
144 + b² = 169
b² = 169 - 144
=25
b = 5 units
a = 12 units
Step-by-step explanation:
Jo said 565 times 34 one half is 595111 eight fourths is she correct. If not what is the correct answer.
Answer: Incorrect, 19492.5
Step-by-step explanation:
Given
Jo said 565 times 34 one half i.e. [tex]565\times 34\ \dfrac{1}{2}[/tex] is [tex]595111[/tex]
Solving for a mixed fraction
[tex]\Rightarrow 565\times \dfrac{34\times 2+1}{2}\\\\\Rightarrow 565\times \dfrac{69}{2}=\dfrac{38985}{2}=19492.5[/tex]
Clearly, [tex]19492.5\neq 595111[/tex]
Thus, Jo is wrong
Find all the missing sides and angles (picture attached)
Answer:
[tex]\boxed{x=73.74}[/tex]
[tex]\boxed{y=16.26}[/tex]
[tex]\boxed{z=25}[/tex]
Step-by-step explanation:
Hello there!
Algebra 1
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula... [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c
[tex]7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25[/tex]
so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
Trigonometry
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation [tex]sin(y)=\frac{7}{25}[/tex]
now we solve for y
[tex]\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471[/tex]
then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
basic geometry
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74
It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road for hour. Then she drives 56 mph on a highway for hour. How far does Carol travel to work?
Complete question :
It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road 1/2 for hour. Then she drives 56 mph on a highway for 1/4 hour. How far does Carol travel to work?
Answer:
26 miles
Step-by-step explanation:
The distance traveled is given by :
Distance = speed * time
Distance covered on small road :
24 mph * 1/2 hours = 12 miles
Distance covered in highway :
56 mph * 1/4 hours = 14 miles
Total miles traveled = 12 + 14 = 26 miles
Brian ate 2/3 of a pizza. His friend, Joseph ate 1/4 of what was left. How much pizza did joseph eat?
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{12}[/tex]
[tex]\frac{12}{12}[/tex] - [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{12}[/tex]
[tex]\frac{4}{12}[/tex] * [tex]\frac{1}{4}[/tex] = [tex]\frac{4}{48}[/tex] = [tex]\frac{1}{12}[/tex]
find the value of given expression
=》
[tex]32 + 32 \div 32[/tex]
Answer:
32+32÷32=32+1=33 is your answer
A cat can eat 1/2 of a bag of food in 3/4 of a month. How much food can the cat eat in 1 month
Answer:
the cat can eat 1 1/4 bag of cat food n 1 month
Step-by-step explanation:
brainliest plzMultiply. Reduce if possible, if you can simplify, what is the GCF you used ? what is 3/7 x 2/4
Answer:
3/14
Step-by-step explanation:
2x2 what is the answer
Answer:
4!
Step-by-step explanation:
Simplify The following Expression:
45 + (x - 12)
Answer:
The answer is x + 33
Step-by-step explanation:
1) Remove parentheses.
[tex]45 + x - 12[/tex]
2) Collect like terms.
[tex]x + (45 - 12)[/tex]
3) Simplify.
[tex]x + 33[/tex]
Therefor, the answer is x + 33.
Answer:
x+33 is your answer
Step-by-step explanation:
45 + (x - 12)
45+x-12
x+45-12
x+33
Decrease R1400 in the Ratio 7:3
Answer:
Step-by-step explanation:
It's hard to tell what you mean. I'm going to assume you mean that you want what is left to be 3/7 less.
1400 - 3/7 1400 = 1400 - 600 = 800
The value of R1400 when decreased by the ratio 7:3 is R600.
What is the value of R1400 when it is decreased?Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.
R1400 X 3/7 = R600
To learn more about ratios, please check: https://brainly.com/question/25927869
Mrs. Jones rented a truck. Easy math problem. Only answer if you know how to do it. Help needed ASAP
Answer:
80%
Step-by-step explanation:
150/100*20=$30
150-30=120
120/150=0.8=80%
Simply the expression 6x + 1 - ( 3x -1 )
Answer:
3x+2
Step-by-step explanation:
distribute "-" into 3x-1 giving you -3x+1, combine like terms on both sides including 6x-3x and you get 3x+2
A television costs $258.98. The sales tax rate is 8.5% . How much will. It cost to buy the television
Answer:
The cost is $280.99
Step-by-step explanation: First do 258.98 divided by 100 which will then equal 2.5898 times 8.5 equal 22.0133 which will then be rounded to 22.01 and then you add 258.98 + 22.01 and that will equal 280.99
Please help! 18/20. Will give brainliest! Spam answers will not be tolerated!
Factor. [tex]2x^5-7x^3-4x[/tex]
[tex]{ \sf{ \: factorise \: \: \: { \underline{ \green{2 {x}^{5} - 7 {x}^{3} - 4x}}}}} \\ \\ { \dashrightarrow{ \blue{ \sf{taking \: x \: common}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{ \:x(2 {x}^{4} - 7 {x}^{2} - 4)}}}} \\ \\ { \dashrightarrow{ \sf{ \blue{let \: {x}^{2} be \: equal \: to \: a}}}} \\ \\ { \leadsto{ \sf{ \green{ \: x( 2{a}^{2} - 7a - 4)}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{x(2 {a}^{2} - (8a \: - a) - 4}}}} \\ \\ { \leadsto{ \sf{ \green{x(2 {a}^{2} - 8a + a - 4)}}}} \\ \\ { \leadsto{ \sf{ \green{x(2a(a - 4) + 1(a - 4))}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{x(2a + 1)(a - 4)}}}} \\ \\ { \sf{ \: now \: putting \: the \: value \: of \: a}}[/tex]
[tex]{ \leadsto{ \green{ \sf{x(2 {x}^{2} + 1)( {x}^{2} - 4)}}}} \\ \\ { \leadsto{ \green{ \sf{ x( {x}^{2} + 1)( {x}^{2} - {2}^{2} )}}}} \\ \\ { \leadsto{ \green{ \sf{x( {x}^{2} + 1)(x + 2)(x - 2)}}}}[/tex]
What is the side lengths, in inches, of a cube with a volume of
1
1 cubic inch?
Answer:
1 in3 (3 is above inches)
Step-by-step explanation:
can I please have brainliest? :)
Please help me with this
Answer:
i cant see it...
Step-by-step explanation:
...
After tax and tip,the bill totaled $63.00. What was each persons share? Show your work
Tina realizes that she needs to figure out the answer to the question, "How many groups of 1/12 are in 2?"
Answer:
24
Step-by-step explanation:
To find how many 1/12 are in 2 divide 2 by 1/12
2/(1/12) = 2 x 12 = 24
Sam borrows from the bank $12,000 to buy a car paying in simple interest $ 2,844 per year. Sam paid the loan in 3 years, what is the annual interest rate on the loan?
Answer:
3,468
Step-by-step explanation:
i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468
What is the value of X?
A. 6
B. 6√3
C. 12
D. 12√3
Answer:
B
Step-by-step explanation:
sin60°=x/12
⇒x= 6√3
There are 4 consecutive even integers that add up to 268. Which integers are they?
Answer:
4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.
Step-by-step explanation:
Hope this helps :)
I hope someone knows.
Answer:
x = 9
Step-by-step explanation:
This is a 45-45-90 right triangle so the sides are in the ratio x: x: [tex]x\sqrt{2}[/tex]
need help so bad pleasss
Answer:
y=2/3x-6
Step-by-step explanation:
i hope this helps :)
Martin needs to ship a box that weighs 12,000 grams. How should be move the decimal point to convert this number
to kilograms?
O 3 places to the left
O 3 places to the right
O 2 places to the left
O 2 places to the right
Write the third missing congruent statement that will allow us to prove the triangles congruent by SAS.
Answer:
LOOK AT YOUR ANSWER IN PICTURE
describe what congruent figures and similar figures have in common
Answer:
Congruent figures have the same measurements in angles (degrees) and sides (units).
Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.
Something they have in common are corresponding angles and corresponding sides.
Parallel lines and tranvsveral
Answer:
angle 6=54*
Step-by-step explanation:
Transversal lines/alternate angles theorem
pls help! will mark brainliest if correct
Answer:
[tex]x = -2, y = 6[/tex]
Step-by-step explanation:
[tex]-x + 4 = -4x-2[/tex]
[tex]x = -2[/tex]
Plug back into either one of the equations to get y = 6
Help plz ASAP nowwwwwwww
Answer:
y = -3/4x + 5/4
Step-by-step explanation:
Points: (7, -4) and ( -1, 2)
Slope:
m=(y2-y1)/(x2-x1)
m=(2+4)/(-1-7)
m=6/(-8)
m= -3/4
Slope-intercept:
y - y1 = m(x - x1)
y + 4 = -3/4(x - 7)
y + 4 = -3/4x + 21/4
y = -3/4x + 5/4
Answer:
y = -3/4x + 5/4
Step-by-step explanation:
Hope this helps
A picture is 5 inches wide and 8 inches tall:
A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged?
Answer:
area = 250 in²
Step-by-step explanation:
5 x 2.5 = 12.5 in
8 x 2.5 = 20 in
area = 20 x 12.5 = 250 in²