Answer:
X = 5a+5g
Step-by-step explanation:
Adding g on both sides gives:
X/5 = a+g
Now dividing 5 on both sides gives us the value of x which is:
X = 5(a+g)
Hence X=5(a+g) or X=5a+5g( multiplying by 5 gives us 5a and 5g)
Find the total surface area of this prism where
the cross-section is an isosceles triangle.
13 cm
5 cm
10 cm
24 cm
Answer:
The total surface area of the prism is 620 cm²
Step-by-step explanation:
The total area of the prism = lateral area + 2 (area of the cross-section)
The lateral area = perimeter of the cross-section × height
∵ The cross-section of the prism is an isosceles triangle
∵ The sides of the triangle are 13 cm, 13 cm, 24 cm
∵ The perimeter of the triangle is the sum of its sides
∴ The perimeter = 13 + 13 + 24 = 50 cm
∴ The perimeter of the cross-section = 50 cm
∵ The height of the prism is 10 cm
→ Use the rule of the lateral area above to find it
∴ The lateral area of the prism = 50 × 10 = 500 cm²
∵ The area of the triangle = [tex]\frac{1}{2}[/tex] × base × height
∵ The base of the triangle = 24 cm
∵ The height of the triangle = 5 cm
∴ The area of the triangle = [tex]\frac{1}{2}[/tex] × 24 × 5 = 60 cm²
∴ The area of the cross-section = 60 cm²
→ Substitute the lateral area and the area of the cross-section in the rule
of the total surface area above
∵ The surface area = 500 + 2(60)
∴ The surface area = 500 + 120
∴ The surface area = 620 cm²
∴ The total surface area of the prism is 620 cm²
i need help with number 2.
Answer:
(1)
Step-by-step explanation:
Given
[tex]\frac{2x}{a}[/tex] + b = c ( subtract b from both sides )
[tex]\frac{2x}{a}[/tex] = c - b ( multiply both sides by a to clear the fraction )
2x = a(c - b) ← distribute
2x = ac - ab ( divide both sides by 2 )
x = [tex]\frac{ac-ab}{2}[/tex] → (1)
−40+10a= \,\,-70 −70
Answer:u did it wrong
Step-by-step explanation:
Doughnut Muffins
cups flour 1 cup oil
teaspoons baking powder cups sugar
teaspoons salt 3 eggs
teaspoons nutmeg cups milk
teaspoon cinnamon
Combine flour, baking powder, salt, nutmeg, and cinnamon in a bowl. In another bowl, combine oil, sugar, egg, and milk. Add liquid ingredients to dry ingredients; stir only to combine. Bake in paper-lined muffin tins at 350° for 20 to 25 minutes.
Donna wants to make a batch of doughnut muffins that only yields 12 muffins. Modify the recipe for her, making sure to include new measurements of every ingredient.
Answer:
1 3/4 cups of flour
1/3 cup oil
1 1/2 teaspoons baking powder
3/4 cups sugar
1/2 teaspoons salt
1 egg
3/4 cups milk
1/4 teaspoon cinnamon
I hope this is right!
Step-by-step explanation:
Looks like I can update my answer!
Okay...the recipe is...
Doughnut muffins
Yields: 36 muffins
5 1/4 cups of flour
1 cup oil
4 1/2 teaspoons baking powder
2 1/4 cups sugar
1 1/2 teaspoons salt
3 eggs
2 1/4 cups milk
3/4 teaspoon cinnamon
Alright, it looks as though what you need to do here first is to turn everything into improper fractions. This would result in:
21/4 cups of flour
1/1 cup oil
9/2 teaspoons baking powder
9/4 cups sugar
3/2 teaspoons salt
3/1 eggs
9/4 cups milk
3/4 teaspoon cinnamon
Then, divide everything by three...
7/4 cups of flour
1/3 cup oil
3/2 teaspoons baking powder
3/4 cups sugar
1/2 teaspoons salt
1/1 egg
3/4 cups milk
1/4 teaspoon cinnamon
...and simplify.
1 3/4 cups of flour
1/3 cup oil
1 1/2 teaspoons baking powder
3/4 cups sugar
1/2 teaspoons salt
1 egg
3/4 cups milk
1/4 teaspoon cinnamon
There you go!
help almost done....
If a radioactive isotope has a half-life of 6 hours and 12 milligrams is initially present, how much will
be present in 24 hours?
Answer:0.75 milligrams will be present in 24 hours
Step-by-step explanation:
Step 1
The formula for radioactive decay can be written as
N(t)=No (1/2)^(t/t 1/2)
where
No= The amount of the radioactive substance at time=0=milligrams
t 1/2= the half-life= 6 hours
t=24 hours
N(t) = the amount at time t
Step 2--- Solving
N(t)=No (1/2)^(t/t 1/2)
=N(t)=12 x ( 1/2) ^ (24/6)
= 12 x (1/2) ^4
= 12 x 0.0625
= 0.75 milligrams
Find the area of the shape below.
10 cm
27 cm
9 cm
24 cm
Answer:
there is no shape below
The use of logic, making empirical observations, and performing dissections were all part of the scientific studies by
Answer:
Aristotle
Step-by-step explanation:
Aristotle is widely known as a Greek philosopher. His works cover a wide range of topics and subjects, including subjects relating to science, arts, and finance.
Throughout his lifetime as a philosopher he was known to utilize logic, preparing empirical observations, and performing dissections as all part of his scientific studies.
Hence, in this case, the correct answer is ARISTOTLE
4) Name The Angle Pair Represented And Solve For x. *
37°
(6x - 11)
Answer:
x = 8
Step-by-step explanation:
The attached figure shows the angle pair representation.
Here, two lines are cut by a transversal. It means the corresponding angles are equal i.e.
37 = 6x-11
37+11 = 6x
6x = 48
x = 8
Hence, the value of x is 8.
use the distributive property to rewrite 4(x+9)
Answer:
4x+36
Step-by-step explanation:
4*x+4*9
4x+36
What is the measure of angle JHN.
Answer:
it's a)25
Step-by-step explanation:
angle MHL and JHN+NHK should be the same, they both are 95 degrees
Answer:
45°
Step-by-step explanation:
first of all find X
(3x+20) - (x+25) =x + 20
3x+20-x-25=x+20
3x-x+20-25=x+20
2x-5=x+20
collect like terms
2x-x=20+5
x=25°
recall JHN= (x+20)°
x=25
JHN=((25)+20)°
JHN=(25+20)°
JHN=45°
Hope it is helpful
Sum of positive 3 negative -2 and negative-5
Answer:
-4
Step-by-step explanation:
I went ahead and just added it to get that answer however if you need it subtracted from one another the answer is 10
Hope this helps please mark me the brainliest! Peace and love
Answer:
3+(-2) +(-5)
3 -2 -5= - 4
adding a negative is the same as subtracting a positive.
Please help! giving all the points I have!!! will give brainliest!!
Need help ASAP please
Answer:
$45
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio.
$120 ÷ 8 = $15 ← value of 1 part of the ratio, thus
3 parts = 3 × $15 = $45 ← amount David received
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
A 20-oz bottle of soda is $1.79. A 32-oz bottle is $3.49. Which has the lower unit cost?
a) the smaller size
b) the larger size
c) the unit cost is the same
Nadine conducted an experiment with four possible outcomes. Trevor conducted the same experiment, but he doubled the number of trials. Which statements are true? Select two options. Trevor has more experimental outcomes than Nadine. Trevor’s sample space is greater than Nadine’s. Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s. Nadine’s experimental probability is more likely closer to the theoretical probability than Trevor’s. Nadine has more experimental outcomes than Trevor.
Answer:
A and C
Step-by-step explanation:
Nadine and Trevor both conducted an experiment but Nadine conducted with four possible outcomes and Trevor doubled the trials, therefore, Trevor will have more experimental outcomes than Nadine because he doubled the trials. Moreover, Trevor's experimental probability is more likely closer to theoretical probability than Nadine's, therefore option 'A' and 'C' are correct.
Answer:
Trevor has more experimental outcomes than Nadine.
Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s.
Step-by-step explanation:
Solve for W: P=2L + 2W
A. W=P-L
B. W= 1/2P - L
C. W= 1/2 P + L
D. W= 2P - L
Answer:
B
Step-by-step explanation:
[tex]P=2L+2W[/tex]
[tex]P-2L=2W[/tex] (Subtract 2L from both sides of the equation)
[tex]2W=P-2L[/tex] (Symmetric Property of Equality)
[tex]W=\frac{P-2L}{2}[/tex] (Divide both sides of the equation by 2)
[tex]W=\frac{P}{2} -\frac{2L}{2}[/tex] ("Split" the fractions)
[tex]W=\frac{1}{2}P-L[/tex] (Simplify)
Hope this helps!
5 of 8
The perimeter of a regular decagon is 513m.
State the length of one of its sides.
Step-by-step explanation:
Decagon = 10-sided polygon
Perimeter of 10 sides = 513m
Perimeter of 1 side = 513m/10 = 51.3m.
which describes the equation: y=4x-5
1._ the equation has a rate of change of -5 and crosses y intercept at 4
2.- the equation has a rate of change of 4 and crosses y intercept at -5
3._ none of the above
4._ all the above
Answer:
hello
Step-by-step explanation:
Tamir drank 2 1/4 cups of orange juice in the morning and 10 1/4 cups in the afternoon. How much orange juice did Tamir drink in all? Write your answer as a fraction or as a whole or mixed number.
Answer:
12 1/4 cups
Step-by-step explanation:
Add the morning and the afternoon amounts together
2 1/4 + 10 1/4
12 2/4
Simplify the fraction
12 1/4 cups
Please help is this undefined or 0?
Answer:
0
Step-by-step explanation:
A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Answer:
0
Step-by-step explanation:
Undefined slopes are vertical, this is horizontal
hope this helps
please help :( will give brainliest!
Answer:
A, C, and D
Step-by-step explanation:
Determine if the triangles below are congruent. If yes, indicate which postulate (SSS, SAS, ASA, AAS, or HL would prove them congruent
hope this helped
1. The triangle is congruent by ASA postulate
2. The triangle is congruent by SSS postulate
3. The triangle is congruent by SAS postulate
4. The triangle is congruent by SSS postulate
5. The triangle is congruent by SAS postulate
6. The triangle is congruent by SSS postulate
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
1.The triangle is congruent by ASA postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
2. The triangle is congruent by SSS postulate
If all three sides of a triangle are congruent to corresponding three sides of other triangle then the two triangles are congruent.
3. The triangle is congruent by SAS postulate
if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The triangle is congruent by SSS postulate
5. The triangle is congruent by SAS postulate
6. The triangle is congruent by SSS postulate
Hence 1. The triangle is congruent by ASA postulate
2. The triangle is congruent by SSS postulate
3. The triangle is congruent by SAS postulate
4. The triangle is congruent by SSS postulate
5. The triangle is congruent by SAS postulate
6. The triangle is congruent by SSS postulate
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Expand and simplify (x - 6)(x + 2)
Step-by-step explanation:
hope it is helpful to you
A factory produced a batch of handheld video games, but 4% of the games were found to be defective. If the batch had 250 games in all, how many games in the batch were not defective?
A.
240
B.
150
C.
100
D.
10
Answer:
A) 240 games are not defective
Step-by-step explanation:
1% of 250 = 2.5
*4 *4
4% of 250 = 10
250 - 10 = 240
240 games are not defective
Which interval on the graph could be described as linear constant?
A coordinate plane is shown. A line is horizontal from x equals 0 to 2, increases from 2 to 4, decreases from 4 to 5, and decreases at a slower rate from 5 to 8.
A
B
C
D
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
How many cups are in 5 quarts
Answer:
20 cups are in 5 quarts
Step-by-step explanation:
Answer:20 cups
Step-by-step explanation:because each cup is 0.25 quarts
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Match each expression to the description shown. Answers may be used more than once.
a road crew can repave 1/15 miles of road each hour. they must repave a road that is 3/5 miles long. how long will it take the crew to repave the road?
Answer:
9 hours
Step-by-step explanation:
For this problem, we simply need to rewrite the goal length, 3/5 miles, into our ratio of time length equivalence, 1 hour per 1/15 miles. To do this we find the common denominator to be 15 and rewrite it as so:
3/5
= 3*3 / 5 * 3
= 9 / 15
And since it takes 1 hour per 1/15 mile of road, we can perform the division to find the amount of time:
9/15 / 1/15
= 9/15 * 15/1
= ( 9 * 15 ) / ( 15 * 1 )
= 9 / 1
= 9
Hence, it will take the crew 9 hours to repave the road.
Cheers.
Answer:9 hours
Step-by-step explanation:
3/5x3/3 = 9/15.
which is greater -4/5 or -7/8
Answer:
-7/8 is greater
Step-by-step explanation:
-4/5=-0.8
-7/8=-0.875
To find the greater fraction, we can use the butterfly method.
Cross multiply the numerator by the denominator.[tex](-\frac{4}{5} )(- \frac{7}{8} )[/tex]
[tex]-\frac{4\times8}{5\times7}=\frac{32}{35}[/tex]
Therefore, [tex]-\frac{4}{5}[/tex] is greater than [tex]-\frac{7}{8}[/tex].