Please help!!!!

Llana [10]

Estimate : 23 × 67

20 (lower down, lower than 5...the last digit) × 70 (Higher, higher than 5)

=20×70
=1400

The estimated value will be 1400

8 0

2 years ago

State if each triangle is a right triangle: 13 ft 5 ft 10 ft

Kaylis [27]

Answer:

Step-by-step explanation:

the longest length is always the hypotenuse

Use Pythagorean theorem

a^2+b^2=c^2

5^2+10^2=c^2

c=11.18

Note: if c=13 than it is a right triangle

since 11.18 not=13

not right triangle

4 0

2 years ago

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Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder

vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be $x$ and $y$ the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) She found that 4 cylinders and 5 prisms weigh 32 ounces:

$4\cdot x +5\cdot y = 32\,oz$ (Eq. 1)

ii) And that 1 cylinder and 8 prisms weigh 35 ounces:

$x + 8\cdot y = 35\,oz$ (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

$x = 35 - 8\cdot y$

(Eq. 2) is (Eq. 1):

$4\cdot (35-8\cdot y) + 5\cdot y = 32$

$140-32\cdot y +5\cdot y = 32$

$32\cdot y - 5\cdot y = 140-32$

$27\cdot y = 108$

$y = 4\,oz$

From (Eq. 2):

$x = 35 - 8\cdot (4)$

$x = 35 - 32$

$x = 3\,oz$

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

4 0

2 years ago

PLZ HELP ASAP! WILL GIVE BRAINLIEST AND 30 POINTS!!

Elis [28]

ANSWER
Group A

Step by step explanation
I am bad at explaining things
If we want to find The group with the youngest age , we have to find the mean. The mean , means that we add up all the numbers ( the age) ,then divide them with how much number you added . For example, we add the age of group A 9+10+10+10+10+10+10+10+15+15+15+15+15+15+15+15+17+17+17+17+17+17+17+17+19+19+19+19+19+19=449
Than Count how many people are in group A , group A have 30 people that the number you will be dividing
So 449 divided by 30 is 14.966
That the average

The same go for group B
10+10+10+10+10+10+14+14+14+14+14+18+18+18+18+18+18+25+25+25+25+25+28+28+28+28+29+29+29+29=519

There 30 peoples in group B
519 divided by 30 is 19.7
So the Average of groupB is 19.7

Group a is 14.9 and group B is 19.7
Group A average is smaller than Group B that means ,The average of Group A is younger than Group B so the answer will be group a

Group A is the younger Group then group B

3 0

2 years ago

If the roots of a quadratic equation are 1±√5, then the product of the roots is

Drupady [299]

The plus-minus sign represents that there are two possible outcomes.

In this case, we have $1 \pm \sqrt{5}$ . When we branch out the possibilities we got 2 values: $1 + \sqrt{5}$ and $1 - \sqrt{5}$

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: $(1 + \sqrt{5}) \times( 1 - \sqrt{5})$

When we FOIL the we get: $1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}$

Simplify:
$1 - \sqrt{5} + \sqrt{5} - 5$
$1 - 5 = 6$

So the product of the two roots of this equation is 6.

5 0

3 years ago

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