Answer:Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. ... We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
https://youtu.be/sskf3tF2heU?t=8
A distance of 5 units is best described by the distance between the —
Answer:
c and d
Step-by-step explanation:
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
Ms lebea, is a grade 10 mathematical literacy teacher at nkami high school gave learners a test out of 70 marks. She has 60 learners in her class and 35 are girls..
1.1 determine the number of boys in the classroom.
1.2 calculate the number of girls as a percentage of total learners in the classroom
1.3 what will be the ratio of girls to boys in the classroom.
1.4 calculate the actual pass mark of the test, if the pass percentage is 30% for the test
Answer:
1.2)60-35=25
therefore there are 25 boys in the class
1.2)35/60×100=58.333%
1.3)35:25
7 : 5
The sum of the two numbers is 121. The difference between the numbers is 15. What are the two numbers?
Answer:
First number = 75.5
Second number = 45.5
solve for x
(11x + 5)°
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
f(x) = |x - 3| + 2
g(x) = |x + 1| - 5
Can someone please help?
Answer:
77 5/8
Step-by-step explanation:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4
= 24/4
b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
c) Write a previous answer (new numerator 27) over the denominator 4.
Conversion a decimal number to a fraction: -11.5 = -115/10
= -23/2
a) Write down the decimal -11.5 divided by 1: -11.5 = -11.5/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
-11.5/1
= -115/10
c) Simplify and reduce the fraction
-115/10
= -23 * 5/2*5
= -23 * 5/2*5
= -23/2
Multiple: 27/4
* (-11.5) = 27 · (-23)/4 times5
= -621/8
Bob swam a total of 250
meters on Monday and
Tuesday. On Tuesday, the
number of meters he swam
was 30 less than 3 times the
amount he swam on
Monday. How many meters
did Bob swim on Monday?
Answer:
i think 220
Step-by-step explanation:
because if he swim 250 then 30 less it would be 220
ach case:
(ii) (+5) + (+2)
(v) (-5) + (-2)
(viii) (+6) + (-3)
(xi) (-4) + (+8)
illustrate each of th
Answer:
Step-by-step explanation:
(+5) + (+2) = +7
If both numbers have same sign, add and the result will have the common sign
v) (-5) + (-2) = (-7)
Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'
Viii) (+6) + (-3) = +3
Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign
xi) (-4) + (+8) = +4
Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign
9x2 - 52x + 33 = -10x - 16
Quadratic Equation
Answer:
x=7/3 or x=2.33
Step-by-step explanation:
9x^2 - 52x + 33 = -10x - 16
Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.
Add 10x+16 on both sides of the equation, and simplifying.
9x^2 - 52x + 33 + 10x + 16 = -10x - 16 + 10x + 16
9x^2 - 42x + 49 = 0
Guess What! This equation is a Perfect Square Trinomial.
For a Perfect Square Trinomial, you will be able to take the square root of the first and third terms, and the coefficient of the second term will be twice the square root of the third term. The “sign” of your second term in your answer will be the same as the linear term sign.
So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0
So, we can rewrite this as (3x - 7)^2=0
Now, To solve, We can set each factor equal to 0, and solve.
*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*
Add 7 on both sides.
3x - 7 = 0
+7 +7
----------------
3x=7
Divide by 3 on both sides.
3x/3 = 7/3
x=7/3
As a decimal: 2.33...
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
Which expression is equivalent to -5(1+7x)+3(3+4x)
Answer:
0(2+14x)+6(6+8x)
Step-by-step explanation:
HELPPPPPP!!!
find each missing length. give all answers in the simplest radical form.
Answer:
45°
Step-by-step explanation:
the sum of angles in a triangle is equal 180°
we have been given that one angle equals yo 90° and the other equals to 45°
let "?" be the unknown angle
====> 180° = 90° + 45° +?
? = 180° - (90° + 45°)
? = 180° - 135°
? = 45°
The Broken Leg Basketball Boutique advertised a $40.00 basketball on sale for 10% off. What is the discount and the new price?
Answer:
$4 off
New price is $36
Step-by-step explanation:
Answer:
$4 discount.
$36 new price.
Step-by-step explanation:
40 x .10= 4
40- 4= 36
Alex's driveway is 27 yards long and 10 yards wide.how many feet long is the driveway
Answer:
81 feet
Step-by-step explanation:
3 feet = 1 yard
Answer:
81 feet wide
Step-by-step explanation:
1) The 10 yards wide is not necessary since we only need length.
2) There are 3 feet in a yard.
3) 27 yards multiplied by 3 feet equals = 81 feet.
4) 27 * 3 = 81 feet
Determine whether the following graph represents a function.
Answer:
yes the graph represents a function
Step-by-step explanation:
plz mark me brainliest
ANSWER FAST ITS DUE IN AN HOURRRRRR
Can someone help me with this problem. It’s the Pythagorean theorem.
Answer:
x = 15/[tex]\sqrt{3}[/tex] and y = 30/[tex]\sqrt{3}[/tex]
Step-by-step explanation:
I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles
1) It takes Elisa six hours to pick forty bushels of apples. Kim can pick the san amount in ten hours. Find how long it would take them if they worked together
Step-by-step explanation:
Elsa 40÷6= 6.666, or 6 2/3 bushels per hour
Kim 40÷10= 4 bushels per hour.
together, they pick 10.66 bushels per hour, so 40÷ 10.66= 3.75 hours, or 3 hours, 45 minutes
What is 7/2 divided by 5/4?
HURRY UP PLZ!!
Answer:
[tex] \frac{14}{5} [/tex]
Step-by-step explanation:
1) Use this rule : a ÷ b/c = a × c/b.
[tex] \frac{7}{2} \times \frac{4}{5} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{7 \times 4}{2 \times 5} [/tex]
3) Simplify 7 × 4 to 28.
[tex] \frac{28}{2 \times 5} [/tex]
4) Simplify 2 × 5 to 10.
[tex] \frac{28}{10} [/tex]
5) Simplify.
[tex] \frac{14}{5} [/tex]
Therefor, the answer is 14/5. And is decimal form it would be, 2.8.
HElppppp will mark brainlest!!!!!!
Answer:
1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent
Step-by-step explanation:
congruent is are the same size and shape, similar have different sizes.
Chris works at a local hardware store where she earns a weekly salary of $150 and a 3% commission on all sales this week she sold $1500 worth of products
Answer:
Commission is $45.00
Weekly salary was $150.00 + $45.00
She earned $195.00 for her paycheck
Step-by-step explanation:
What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)
2/3
3/4
1/2
1
Answer:
23 and - 16 are the coefficients
Step-by-step explanation:
What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2
Answer:
y = 2x - 5
Step-by-step explanation:
Put it in point-slope form:
y + 7 = 2(x + 1)
y + 7 = 2x + 2
y = 2x - 5
Triangle QRS has the following vertices - Q (-1, 1), R (1, 3), S (3, 1). Triangle QRS is translated 2 units right and 3 units down. What are the correct vertices of the translated triangle?
A
Q' (-1, 5), R' (1, 3), S' (3, 5)
B
Q' (-4, 3), R' (-2, 5), S' (0, 3)
C
Q' (1, -2), R' (3, 0), S' (5, -2)
D
Q' (1, -1), R' (-1, -3), S' (-3, -1)
The answer is number C
:)
which is the correct expression of (2x+3) (2x^2-5)
:
:
:
WILL MARK BRANIEST IF ITS RIGHT PLEASE HELP ME I HAVE BEEN STUCK ON THIS QUESTION (note for the problem look at picture 1 for your answer choices look at picture 2.
Answer:
I think B is right answer
Suppose (DE) = 103 ft. Calculate the distance of (AB) to the nearest tenth of a foot. Show your work. Don’t forget to label your answer.
Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?
Answer:
Mutually Exclusive
Dependent
Step-by-step explanation:
Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).
Hence, this is MUTUALLY EXCLUSIVE.
Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).
Hence, this is DEPENDENT.
7. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7, find
the smallest possible value of m. (3 marks)
Answer:
187
Step-by-step explanation:
please help thank you :)
Answer:
∠7 = 85°
Step-by-step explanation:
∠1 = 180 - 115 = 65° Because they are supplementary angles
∠2 = 180 - 65 - 85 = 30° Because the sum of all interior angles in a triangle
equals 180°
∠3 = 90° given
∠6 = 180 - 90 - 30 = 60° Because they are supplementary angles
∠4 = 180 - 155 = 25° Because they are supplementary angles
∠5 = 180 - 25 - 60 = 95° Because the sum of all interior angles in a
triangle equals 180°
∠7 = 180 - 95 = 85° Because they are supplementary angles