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3 years ago

Create an equation to solve for x, then solve to find its value.

Mathematics

2 answers:

Amanda [17]3 years ago

8 0

Answer:

Equation: x + 16 + 13 + x = 21 ; x = -4

Step-by-step explanation:

x + 16 + 13 + x = 21 (Given)

2x + 29 = 21 (Added like terms)

2x = -8 (Subtracted 29 on both sides)

x = -4 (Divided 2 on both sides)

MAXImum [283]3 years ago

3 0

Answer:

Step-by-step explanation:

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What additional information is needed to prove the triangles are congruent by HL?

Rzqust [24]

Answer:

bce is 90

Step-by-step explanation:

7 0

3 years ago

h(n)=-13nh(n)=−13nh, left parenthesis, n, right parenthesis, equals, minus, 13, n Complete the recursive formula of h(n)h(n)h, l

mr Goodwill [35]

Answer:

h(1)=-13

$h(n)=h(n-1)-13, n\geq 2$

Step-by-step explanation:

We are given that

$h(n)=-13n$

We have to find the recursive formula of h(n).

Substitute n=1

$h(1)=-13$

n=2

$h(2)=-13-13=-26=h(1)-13$

n=3

$h(3)=-13(3)=-39=-26-13=h(2)-13$

$h(4)=-13(4)=-52=-39-13=h(3)-13$

$h(n)=h(n-1)-13$

Therefore, the recursive formula is given by

h(1)=-13

$h(n)=h(n-1)-13, n\geq 2$

5 0

4 years ago

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

-----------------------------------------------------------
$\bf \text {Answer : } 69.77 \cm^3$
-----------------------------------------------------------

6 0

4 years ago

8(5-32) equal to and explain <br> please help

Gre4nikov [31]

You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216

4 0

4 years ago

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Effectus [21]

Answer:

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3 years ago